Persons: Pokhozhaev, Stanislav Ivanovich

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Pokhozhaev, Stanislav Ivanovich
(1935–2014)

Total publications:	198
Scientific articles:	178
Presentations:	7

Number of views:
This page:	12071
Abstract pages:	46805
Full texts:	17033
References:	3116

Corresponding member of RAS

Professor

Doctor of physico-mathematical sciences

Website:

https://www.mi.ras.ru/~pokhozhaev

Subject:

Nonlinear functional analysis, nonlinear PDE's, nonlinear variational problems.

https://www.mathnet.ru/eng/person12566

List of publications on Google Scholar

https://zbmath.org/authors/ai:pokhozhaev.stanislav-i

https://mathscinet.ams.org/mathscinet/MRAuthorID/216693

https://elibrary.ru/author_items.asp?authorid=43

Full list of publications:

scientific publications

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		Citations (Crossref Cited-By Service + Math-Net.Ru)


2014
1.	V. A. Galaktionov, E. Mitidieri, S. I. Pohozaev, “Classification of global and blow-up sign-changing solutions of a semilinear heat equation in the subcritical Fujita range: second-order diffusion”, Adv. Nonlinear Stud., 14:1 (2014), 1–29	8 ^[x]
2.	S. I. Pokhozhaev, “Smooth solutions of the Navier-Stokes equations”, Sb. Math., 205:2 (2014), 277–290
3.	V. A. Galaktionov, E. L. Mitidieri, S. I. Pohozaev, Blow-up for higher-order parabolic, hyperbolic, dispersion and Schroedinger equations, Monographs and Research Notes in Mathematics, CRC Press, Boca Raton, FL, 2014 , 568 pp.	37 ^[x]

2013
4.	S. I. Pokhozhaev, “Nonexistence of global solutions of nonlinear evolution equations”, Differ. Equ., 49:5 (2013), 599–606
5.	S. I. Pokhozhaev, “Critical nonlinearities in partial differential equations”, Russ. J. Math. Phys., 20:4 (2013), 476–491	1 ^[x]
6.	O. V. Besov, S. V. Bochkarev, E. A. Volkov, V. A. Il'in, B. S. Kashin, V. V. Kozlov, S. V. Konyagin, N. N. Kudryavtsev, Yu. S. Osipov, S. I. Pokhozhaev, V. A. Sadovnichii, A. G. Sergeev, S. A. Telyakovskii, “His mathematical century (to the memory of Sergei Mikhailovich Nikol'skii)”, Russian Math. Surveys, 68:3 (2013), 591–594
7.	Teoriya funktsii i uravneniya matematicheskoi fiziki, Sbornik statei. K 90-letiyu so dnya rozhdeniya chlena-korrespondenta RAN Lva Dmitrievicha Kudryavtseva, Trudy MIAN, 283, ed. S. I. Pokhozhaev, A. G. Sergeev, MAIK «Nauka/Interperiodika», M., 2013 , 287 pp.

2012
8.	V. A. Galaktionov, E. Mitidieri, S. Pohozaev, “Global Sign-changing Solutions of a Higher Order Semilinear Heat Equation in the Subcritical Fujita Range”, Advanced Nonlinear Studies, 12:3 (2012), 569–596	3 ^[x]
9.	S. I. Pohozaev, “Blow-up of Global Sign-Changing Solutions of a Nonlinear Heat Equation”, Dokl. Math., 85:2 (2012), 225–228
10.	S. I. Pohozaev, “Blow-up of smooth solutions of the Korteweg–de Vries equation”, Nonlinear Analysis: Theory, Methods & Applications, 75:12 (2012), 4688–4698	6 ^[x]
11.	S. I. Pokhozhaev, “On a class of initial-boundary value problems for equations of Korteweg–de Vries type”, Differ. Equ., 48:3 (2012), 372–378
12.	S. I. Pokhozhaev, “On the nonexistence of global solutions of the Cauchy problem for the Korteweg–de Vries equation”, Funct. Anal. Appl., 46:4 (2012), 279–286
13.	V. Pikulin, S. Pohozaev, Equations in mathematical physics: a practical course, Modern Birkhäuser Classics, Birkhäuser, Basel, 2012 , 207 pp.	4 ^[x]

2013
14.	S. I. Pohozaev, “On the absence of global solutions of the Korteweg–de Vries equation”, Journal of Mathematical Sciences, 190:1 (2013), 147–156

2011
15.	S. I. Pokhozhaev, “Weighted Identities for the Solutions of Generalized Korteweg–de Vries Equations”, Math. Notes, 89:3 (2011), 382–396
16.	S. I. Pokhozhaev, “Riemann quasi-invariants”, Sb. Math., 202:6 (2011), 887–907
17.	S. I. Pokhozhaev, “Blow-up of sign-changing solutions of a quasilinear heat equation”, Differ. Equ., 47 (2011), 373–381
18.	S. I. Pokhozhaev, “On the nonexistence of global solutions for some initial–boundary value problems for the Korteweg–de Vries equation”, Differ. Equ., 47:4 (2011), 488–493
19.	S. I. Pohozaev, “On the dependence of the critical exponent of the nonlinear heat equation on the initial function”, Differ. Equ., 47:7 (2011), 955–962
20.	V. A. Galaktionov, E. Mitidieri, S. I. Pohozaev, “Variational approach to complicated similarity solutions of higher-order nonlinear PDEs. II”, Nonlinear Anal. Real World Appl., 12:4 (2011), 2435–2466	8 ^[x]
21.	S. I. Pokhozhaev, “On the existence and nonexistence of solutions of some quasilinear hyperbolic equations”, Differential Equations, 47:12 (2011), 1754–1762

2013
22.	M. S. Agranovich, I. V. Astashova, L. A. Bagirov, V. V. Vlasov, V. V. Zhikov, Yu. S. Ilyashenko, V. V. Kozlov, A. A. Kon'kov, S. I. Pokhozhaev, E. V. Radkevich, N. Kh. Rozov, I. N. Sergeev, A. L. Skubachevskii, G. A. Chechkin, A. S. Shamaev, T. A. Shaposhnikova, “Vladimir Alexandrovich Kondratiev. July 2, 1935 – March 11, 2010”, Journal of Mathematical Sciences, 190:1 (2013), 1–7

2010
23.	S. I. Pokhozhaev, “Concerning an Equation in the Theory of Combustion”, Math. Notes, 88:1 (2010), 48–56
24.	S. I. Pokhozhaev, “On the Singular Solutions of the Korteweg–de Vries Equation”, Math. Notes, 88:5 (2010), 741–747
25.	S. I. Pohozaev, “Blow-up of sign-changing solutions to quasilinear parabolic equations”, Proc. Steklov Inst. Math., 269 (2010), 208–217
26.	S. I. Pohozaev, “On the blow-up of sign-changing solutions to semilinear parabolic equations”, Dokl. Math., 81:2 (2010), 185–187
27.	S. I. Pokhozhaev, “On stationary solutions of the Vlasov-Poisson equations”, Differ. Equ., 46:4 (2010), 530–537
28.	S. I. Pohozaev, “On a class of singular solutions to the Korteweg-de Vries equation”, Dokl. Math., 82:3 (2010), 936–938
29.	S. I. Pokhozhaev, “O kriticheskikh nelineinostyakh v uravneniyakh s chastnymi proizvodnymi”, Trudy Shkoly-konferentsii «Matematika, informatika, ikh prilozheniya i rol v obrazovanii» (Moskva, 14–18 dekabrya 2009 g.), RUDN, M., 2010, 323–350

2009
30.	V. Galaktionov, E. Mitidieri, S. Pokhozhaev, “Variational approach to complicated similarity solutions of higher order nonlinear evolution partial differential equations”, Sobolev spaces in mathematics. II, Int. Math. Ser. (N. Y.), 9, Springer, New York, 2009, 147–197	3 ^[x]
31.	S. I. Pokhozhaev, “On the Absence of Positive Solutions of Elliptic Equations in Plane Unbounded Domains”, Math. Notes, 85:2 (2009), 240–250
32.	S. I. Pokhozhaev, “Global solvability of the Kuramoto-Sivashinsky equation with bounded initial data”, Sb. Math., 200:7 (2009), 1075–1088
33.	G. Caristi, E. Mitidieri, S. I. Pohozaev, “Some Liouville theorems for quasilinear elliptic inequalities”, Dokl. Math., 79:1 (2009), 118-124
34.	V. A. Galaktionov, E. Mitidieri, S. I. Pohozaev, “On global solutions and blow-up for Kuramoto-Sivashinsky-type models, and well-posed Burnett equations”, Nonlinear Anal., 70:8 (2009), 2930–2952	24 ^[x]
35.	S. I. Pohozaev, “Critical nonlinearities in partial differential equations”, Milan J. Math., 77:1 (2009), 127–150	29 ^[x]
36.	S. I. Pokhozhaev, “Kratnye polozhitelnye resheniya nelineinykh kraevykh zadach”, Nelineinost v sovremennom estestvoznanii, Sinergetika: ot proshlogo k buduschemu, Izd-vo LKI (URSS), M., 2009, 58–66
37.	E. Mitidieri, S. I. Pokhozhaev, “Lifespan estimates for solutions of some evolution inequalities”, Differ. Equ., 45:10 (2009), 1473–1484
38.	E. Mitidieri, E. Lanconelli, S. I. Pohozaev, “Liouville Theorems and Detours – Preface”, Nonlinear Anal., 70:8 (2009), 2825	6 ^[x]

2008
39.	V. A. Galaktionov, S. I. Pokhozhaev, “Third-order nonlinear dispersive equations: Shocks, rarefaction, and blowup waves”, Comput. Math. Math. Phys., 48:10 (2008), 1784–1810
40.	G. Caristi, E. Mitidieri, S. I. Pokhozhaev, “Local estimates and Liouville theorems for a class of quasilinear inequalities”, Dokl. Math., 77:1 (2008), 85–89
41.	V. A. Galaktionov, E. Mitidieri, S. I. Pohozaev, “Capacity induced by a nonlinear operator and applications”, Georgian Math. J., 15:3 (2008), 501–516	4 ^[x]
42.	V. A. Galaktionov, E. Mitidieri, S. I. Pohozaev, “Existence and nonexistence of a global solution to the Kuramoto-Sivashinsky equation”, Dokl. Math., 77:2 (2008), 238–242
43.	S. I. Pohozaev, “On the nonexistence of global solutions of the Hamilton-Jacobi equation”, Differ. Equ., 44:10 (2008), 1467–1477
44.	S. I. Pokhozhaev, “Kratnye polozhitelnye resheniya nelineinykh kraevykh zadach”, Nelineinost v sovremennom estestvoznanii, Sb. statei, posvyaschennyi pamyati S. P. Kurdyumova, 2008, 59–69
45.	S. I. Pokhozhaev, “Nonlinear variational problems via the fibering method”, Handbook of differential equations: stationary partial differential equations, Handb. Differ. Equ., 5, eds. M. Chipot, Elsevier/North-Holland, Amsterdam, 2008, 49–209
46.	S. I. Pokhozhaev, “On blow-up of solutions of the Kuramoto-Sivashinsky equation”, Sb. Math., 199:9 (2008), 1355–1365
47.	S. I. Pokhozhaev, “On the Blow-up of Solutions to Nonlinear Initial–Boundary Value Problems”, Proc. Steklov Inst. Math., 260 (2008), 204–217

2007
48.	V. A. Galaktionov, S. I. Pohozaev, “Blowup for nonlinear initial-boundary value problems”, Dokl. Math., 75:1 (2007), 76–79
49.	V. A. Galaktionov, S. I. Pokhozhaev, A. E. Shishkov, “Convergence in gradient systems with branching of equilibria”, Sb. Math., 198:6 (2007), 817–838
50.	V. A. Galaktionov, S. I. Pohozaev, “On the absence of global solutions of nonlinear mixed problems”, J. Math. Sci., 143:4 (2007), 3226–3238

2006
51.	V. A. Galaktionov, S. I. Pohozaev, “Blow-up and critical exponents for parabolic equations with non-divergent operators: dual porous medium and thin film operators”, J. Evol. Equ., 6:1 (2006), 45–69	21 ^[x]
52.	L. D'Ambrosio, E. Mitidieri, S. I. Pohozaev, “Representation formulae and inequalities for solutions of a class of second order partial differential equations”, Trans. Amer. Math. Soc., 358:2 (2006), 893–910	17 ^[x]
53.	S. I. Pohozaev, “Multiple positive solutions to nonlinear Neumann problems via the fibering method”, Proceedings of International Workshop “Current Trends in Nonlinear Analysis” (Otranto, June 12–16, 2006), Universitá di Napoli, 2006, 1
54.	O. V. Besov, V. S. Vladimirov, V. V. Kozlov, S. M. Nikol'skii, Yu. S. Osipov, S. I. Pokhozhaev, V. A. Sadovnichii, “Vladimir Aleksandrovich Kondrat'ev (on his 70th birthday)”, Russian Math. Surveys, 61:6 (2006), 1189–1197

2005
55.	E. Mitidieri, S. I. Pokhozhaev, “Liouville Theorems for Some Classes of Nonlinear Nonlocal Problems”, Proc. Steklov Inst. Math., 248 (2005), 158–178

2004
56.	M. Kirane, E. Nabana, S. I. Pohozaev, “Nonexistence of global solutions to an elliptic equation with a dynamical boundary condition”, Bol. Soc. Parana. Mat. (3), 22:2 (2004), 9–16
57.	E. Mitidieri, S. I. Pokhozhaev, “Liouville-type theorems for some nonlinear nonlocal problems”, Dokl. Math., 70:3 (2004), 954–958
58.	E. Mitidieri, S. I. Pokhozhaev, “On some integral inequalities associated with Riesz potentials”, Dokl. Math., 70:1 (2004), 623–627
59.	Yu. V. Egorov, V. A. Galaktionov, V. A. Kondratiev, S. I. Pohozaev, “Global solutions of higher-order semilinear parabolic equations in the supercritical range”, Adv. Differential Equations, 9:9-10 (2004), 1009–1038
60.	E. Mitidieri, S. I. Pohozaev, “Towards a unified approach to nonexistence of solutions for a class of differential inequalities”, Milan J. Math., 72 (2004), 129–162	45 ^[x]
61.	S. I. Pohozaev, A. Tesei, “Nonexistence of local solutions to semilinear partial differential inequalities”, Ann. Inst. H. Poincaré Anal. Non Linéaire, 21:4 (2004), 487–502	27 ^[x]
62.	V. P. Pikulin, S. I. Pokhozhaev, Prakticheskii kurs po uravneniyam matematicheskoi fiziki, Uchebnik dlya vuzov, 3-e izd., MTsNMO, M., 2004

2003
63.	S. I. Pokhozhaev, “On hyperbolic systems of conservation laws”, Differ. Equ., 39:5 (2003), 701–711
64.	E. Mitidieri, S. I. Pokhozhaev, “The positivity property of solutions of some nonlinear elliptic inequalities in $\mathbb R^n$”, Dokl. Math., 393:2 (2003), 159–164
65.	S. Pohozaev, “The general blow-up for nonlinear PDE's”, Function spaces, differential operators and nonlinear analysis (Teistungen, 2001), Birkhäuser, Basel, 2003, 141–159	4 ^[x]
66.	V. A. Galaktionov, S. I. Pohozaev, “On similarity solutions and blow-up spectra for a semilinear wave equation”, Quart. Appl. Math., 61:3 (2003), 583–600	14 ^[x]
67.	V. A. Galaktionov, S. I. Pohozaev, “Blow-up and critical exponents for nonlinear hyperbolic equations”, Nonlinear Anal., 53:3-4 (2003), 453–466	46 ^[x]
68.	S. I. Pokhozhaev, “Multidimensional scalar conservation laws”, Sb. Math., 194:1 (2003), 151–164
69.	S. I. Pokhozhaev, “On a priori Estimates and Gradient Catastrophes of Smooth Solutions to Hyperbolic Systems of Conservation Laws”, Proc. Steklov Inst. Math., 243 (2003), 247–277
70.	È. Mitidieri, S. I. Pokhozhaev, “On systems of quasilinear singular parabolic equations and inequalities”, J. Math. Sci. (N. Y.), 114:4 (2003), 1529–1546

2002
71.	M. Kirane, È. Nabana, S. I. Pokhozhaev, “On the absence of solutions for elliptic systems with dynamic boundary conditions”, Differ. Equ., 38:6 (2002), 808–815
72.	È. Mitidieri, S. I. Pokhozhaev, “Some generalizations of Bernstein's theorem”, Differ. Equ., 38:3 (2002), 392–397
73.	V. A. Galaktionov, S. I. Pohozaev, “Existence and blow-up for higher-order semilinear parabolic equations: majorizing order-preserving operators”, Indiana Univ. Math. J., 51:6 (2002), 1321–1338	68 ^[x]
74.	Yu. V. Egorov, V. A. Galaktionov, V. A. Kondratiev, S. I. Pohozaev, “On the asymptotics of global solutions of higher-order semilinear parabolic equations in the supercritical range”, C. R. Math. Acad. Sci. Paris, 335:10 (2002), 805–810	23 ^[x]
75.	E. Mitidieri, S. I. Pokhozhaev, “Fujita-type theorems for quasilinear parabolic inequalities with nonlinear gradient”, Dokl. Math., 66:2 (2002), 187–191
76.	S. I. Pokhozhaev, “A General Approach to the Theory of Nonexistence of Global Solutions to Nonlinear Partial Differential Equations and Inequalities”, Proc. Steklov Inst. Math., 236 (2002), 273–284
77.	S. I. Pohozaev, A. Tesei, “Instantaneous blow-up of solutions to a class of hyperbolic inequalities”, Proceedings of the 2001-Luminy conference on Quasilinear Elliptic and Parabolic Equations and System (Luminy, France, Sept. 3–7, 2001), Electron. J. Diff. Eqns., Conf. 08, 2002, 155–165

2001
78.	L. Moschini, A. Tesei, S. I. Pohozaev, “On a class of nonlinear Dirichlet problems with first order terms”, International Conference on Differential and Functional Differential Equations (Moscow, 1999), Funct. Differ. Equ., 8, no. 3-4, 2001, 345–352
79.	S. I. Pokhozhaev, A. Teseĭ, “Critical exponents for the absence of solutions for systems of quasilinear parabolic inequalities”, Differ. Equ., 37:4 (2001), 551–558
80.	E. Mitidieri, S. I. Pohozaev, “Nonexistence of Weak Solutions for Some Degenerate and Singular Hyperbolic Problems on $\mathbb R_+^{n+1}$”, Proc. Steklov Inst. Math., 232 (2001), 240–259
81.	V. P. Pikulin, S. I. Pohozaev, Equations in mathematical physics, A practical course, Birkhäuser Verlag, Basel, 2001 , viii+207 pp.
82.	M.-F. Bidaut-Véron, S. Pohozaev, “Nonexistence results and estimates for some nonlinear elliptic problems”, J. Anal. Math., 84 (2001), 1–49	153 ^[x]
83.	E. Mitidieri, S. I. Pohozaev, “Nonexistence of weak solutions for some degenerate elliptic and parabolic problems on $\mathbb R^n$”, J. Evol. Equ., 1:2 (2001), 189–220	61 ^[x]
84.	E. Mitidieri, S. I. Pokhozhaev, “A priori estimates and blow-up of solutions to nonlinear partial differential equations and inequalities”, Proc. Steklov Inst. Math., 234 (2001), 1–362

2000
85.	S. I. Pohozaev, A. Tesei, “Blow-up of nonnegative solutions to quasilinear parabolic inequalities”, Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl., 11:2 (2000), 99–109
86.	L. Moschini, S. I. Pohozaev, A. Tesei, “Existence and nonexistence of solutions of nonlinear Dirichlet problems with first order terms”, J. Funct. Anal., 177:2 (2000), 365–382	11 ^[x]
87.	S. Pohozaev, L. Véron, “Blow-up results for nonlinear hyperbolic inequalities”, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), 29:2 (2000), 393–420
88.	S. Pohozaev, L. Véron, “Nonexistence results of solutions of semilinear differential inequalities on the Heisenberg group”, Manuscripta Math., 102:1 (2000), 85–99	40 ^[x]
89.	S. I. Pohozaev, L. Véron, “Multiple positive solutions of some quasilinear Neumann problems”, Appl. Anal., 74:3-4 (2000), 363–391	12 ^[x]
90.	Yu. V. Egorov, V. A. Galaktionov, V. A. Kondratiev, S. I. Pohozaev, “On the necessary conditions of global existence to a quasilinear inequality in the half-space”, C. R. Acad. Sci. Paris Sér. I Math., 330:2 (2000), 93–98	27 ^[x]
91.	V. A. Galaktionov, Yu. V. Egorov, V. A. Kondrat'ev, S. I. Pokhozhaev, “Conditions for the existence of solutions to a quasilinear inequality in half-space”, Math. Notes, 67:1 (2000), 119–121
92.	T. D. Venttsel', Yu. A. Dubinskii, A. M. Il'in, V. A. Kondrat'ev, V. P. Mikhailov, A. A. Mal'tsev, O. A. Oleinik, S. I. Pokhozhaev, N. Kh. Rozov, G. A. Chechkin, T. A. Shaposhnikova, “Anatolii Sergeevich Kalashnikov (obituary)”, Russian Math. Surveys, 55:5 (2000), 977–985

1999
93.	S. I. Pohozaev, A. Tesei, “Existence and nonexistence of solutions of nonlinear Neumann problems”, SIAM J. Math. Anal., 31:1 (1999), 119–133 (electronic)	8 ^[x]
94.	L. A. Peletier, S. I. Pokhozhaev, “The Cauchy problem for the extended Fisher-Kolmogorov equation”, Differ. Equ., 35:3 (1999), 352–368
95.	E. Mitidieri, S. I. Pokhozhaev, “Nonexistence of positive solutions for a system of quasilinear elliptic equations and inequalities in $\mathbb R^N$”, Dokl. Math., 59:3 (1999), 351–355
96.	S. I. Pokhozhaev, “The Existence and Nonexistence of Periodic Solutions to Certain Nonlinear Hyperbolic Equations”, Proc. Steklov Inst. Math., 227 (1999), 254–279
97.	E. Mitidieri, S. I. Pokhozhaev, “Nonexistence of Positive Solutions for Quasilinear Elliptic Problems on $\mathbb R^N$”, Proc. Steklov Inst. Math., 227 (1999), 186–216
98.	S. I. Pokhozhaev, On a class of nonlinear Dirichlet problems with first order terms, Nota Scientifica, 99/33, Dip. Mat. “G. Gastelnuovo”, Università di Roma “La Sapienza”, 1999
99.	S. I. Pohozaev, “The fibering method and its applications to nonlinear boundary value problems”, Rendiconti dell'Istituto di Matematica dell'Universitá di Trieste, XXXI (1999), 235–305

1998
100.	S. I. Pokhozhaev, “On the existence and nonexistence of periodic solutions to some nonlinear hyperbolic equations”, Dokl. Math., 58:3 (1998), 395–399
101.	S. I. Pokhozhaev, A. Tesei, “Existence of positive solutions to some nonlinear Neumann problems”, Dokl. Math., 58:3 (1998), 414–417
102.	E. Mitidieri, S. I. Pokhozhaev, “The absence of global positive solutions of quasilinear elliptic inequalities”, Dokl. Math., 57:2 (1998), 250–253
103.	V. Mustonen, S. Pohožaev, “On the nonexistence of periodic radial solutions for semilinear wave equations in unbounded domain”, Differential Integral Equations, 11:1 (1998), 133–145
104.	S. I. Pohozaev, “On the reaction-diffusion electrolysis nonlinear elliptic equations”, Reaction diffusion systems (Trieste, 1995), Lecture Notes in Pure and Appl. Math., 194, Dekker, New York, 1998, 255–288

1997
105.	S. I. Pokhozhaev, “The essentially nonlinear capacities induced by differential operators”, Dokl. Math., 56:3 (1997), 924–926
106.	I. Kuzin, S. Pohozaev, Entire solutions of semilinear elliptic equations, Progr. Nonlinear Differential Equations Appl., 33, Birkhäuser Verlag, Basel, 1997 , vi+250 pp.
107.	S. I. Pohozaev, “The fibering method in nonlinear variational problems”, Topological and variational methods for nonlinear boundary value problems (Cholín, 1995), Pitman Res. Notes Math. Ser., 365, Longman, Harlow, 1997, 35–88
108.	P. Drábek, S. I. Pohozaev, “Positive solutions for the $p$-Laplacian: application of the fibering method”, Proc. Roy. Soc. Edinburgh Sect. A, 127:4 (1997), 703–726	246 ^[x]
109.	S. I. Pokhozhaev, “On the Global Fibering Method in Nonlinear Variational Problems”, Proc. Steklov Inst. Math., 219 (1997), 281–328

1995
110.	S. I. Pokhozhaev, “On the Maslov equations”, Differ. Equ., 31:2 (1995), 315–326
111.	S. I. Pokhozhaev, “A quasi-linear system of equations of electrolysis”, Proc. Steklov Inst. Math., 210 (1995), 178–196
112.	V. A. Il'in, L. D. Kudryavtsev, Yu. S. Osipov, S. I. Pokhozhaev, “Ol'ga Arsen'evna Oleĭnik (on the occasion of her seventieth birthday)”, Differ. Equ., 31:7 (1995), 1035–1055 (1996)
113.	O. V. Besov, S. V. Bochkarev, V. S. Vladimirov, E. A. Volkov, V. K. Dzyadyk, V. A. Il'in, B. S. Kashin, N. P. Korneichuk, L. D. Kudryavtsev, O. A. Oleinik, Yu. S. Osipov, S. I. Pokhozhaev, S. B. Stechkin, S. A. Telyakovskii, V. N. Temlyakov, P. L. Ul'yanov, “Sergei Mikhailovich Nikol'skii (on his ninetieth birthday)”, Russian Math. Surveys, 50:6 (1995), 1321–1327
114.	V. P. Pikulin, S. I. Pokhozhaev, Prakticheskii kurs po uravneniyam matematicheskoi fiziki, Uchebnik dlya vuzov, 2-e izd., Nauka, M., 1995

1994
115.	S. I. Pokhozhaev, “On a nonlinear elliptic problem of H. Amann”, Differ. Equ., 30:4 (1994), 623–638

1995
116.	S. I. Pokhozhaev, “On a nonlinear electrolysis problem”, Russian Acad. Sci. Sb. Math., 82:1 (1995), 87–99

1994
117.	S. M. Nikol'skii, L. D. Kudryavtsev, O. V. Besov, S. I. Pokhozhaev, S. A. Telyakovskii, V. A. Il'in, V. I. Burenkov, S. B. Stechkin, N. V. Miroshin, V. S. Kryuchkov, “Petr Ivanovich Lizorkin (obituary)”, Russian Math. Surveys, 49:3 (1994), 177–179
118.	S. I. Pokhozhaev, “A mathematical model of electrolysis”, Russian Acad. Sci. Dokl. Math., 48:2 (1994), 402–405

1993
119.	S. I. Pohožaev, “The sharp a priori estimates for some superlinear degenerate elliptic problems”, Function spaces, differential operators and nonlinear analysis (Friedrichroda, 1992), Teubner-Texte Math., 133, Teubner, Stuttgart, 1993, 200–217	3 ^[x]
120.	S. I. Pokhozhaev, “Sharp a priori estimates for some quasilinear elliptic equations”, Differ. Equ., 29:3 (1993), 405–417

1994
121.	S. I. Pokhozhaev, “Sharp a priori estimates for a quasilinear degenerate elliptic problem”, Russian Acad. Sci. Sb. Math., 79:2 (1994), 335–346
122.	S. I. Pokhozhaev, “On entire radial solutions of quasilinear elliptic equations”, Proc. Steklov Inst. Math., 204 (1994), 215–233

1993
123.	O. V. Besov, V. A. Il'in, P. I. Lizorkin, S. M. Nikol'skii, S. I. Pokhozhaev, T. S. Pigolkina, “Lev Dmitrievich Kudryavtsev (on his seventieth birthday)”, Russian Math. Surveys, 48:4 (1993), 261–165
124.	O. V. Besov, L. D. Kudryavtsev, N. V. Miroshin, S. M. Nikol'skii, S. I. Pokhozhaev, “Petr Ivanovich Lizorkin (on his seventieth birthday)”, Russian Math. Surveys, 48:1 (1993), 213–216
125.	V. A. Il'in, S. M. Nikol'skii, O. V. Besov, N. A. Izobov, T. S. Pigolkina, S. I. Pokhozhaev, Ya. V. Radyno, “Lev Dmitrievich Kudryavtsev (on the occasion of his seventieth birthday)”, Differ. Equ., 29:12 (1993), 1763–1768
126.	S. I. Pokhozhaev, “Sharp a priori estimates for some superlinear elliptic equations”, Russian Acad. Sci. Dokl. Math., 46:3 (1993), 463–467
127.	S. I. Pokhozhaev, “On the smoothness of solutions of some superlinear elliptic equations”, Russian Acad. Sci. Dokl. Math., 46:3 (1993), 447–450

1992
128.	S. Pohozaev, “On entire solutions of semilinear elliptic equations”, Progress in partial differential equations: elliptic and parabolic problems (Pont-à-Mousson, 1991), Pitman Res. Notes Math. Ser., 266, Longman Sci. Tech., Harlow, 1992, 56–69

1994
129.	S. I. Pokhozhaev, “On entire radial solutions of some quasilinear elliptic equations”, Russian Acad. Sci. Sb. Math., 77:2 (1994), 265–277
130.	S. I. Pokhozhaev, “On quasilinear elliptic problems in $\mathbb R^N$ in the supercritical case”, Proc. Steklov Inst. Math., 201 (1994), 273–286

1992
131.	S. I. Pokhozhaev, “On asymptotics of entire radial solutions of quasilinear elliptic equations”, Soviet Math. Dokl., 44:2 (1992), 548–553

1991
132.	S. I. Pokhozhaev, “On entire solutions of quasilinear elliptic equations”, Soviet Math. Dokl., 43:3 (1991), 783–787 (1992)
133.	S. I. Pokhozhaev, “On entire solutions of a class of quasilinear elliptic equations”, Soviet Math. Dokl., 43:3 (1991), 932–936 (1992)

1992
134.	S. I. Pokhozhaev, “On elliptic problems in $\mathbf R^N$ with supercritical exponent of nonlinearity”, Math. USSR-Sb., 72:2 (1992), 447–466

1991
135.	S. I. Pokhozhaev, “On classes of positivity of elliptic operators in $\mathbf R^N$ with a supercritical nonlinearity index”, Soviet Math. Dokl., 42:2 (1991), 515–519
136.	S. I. Pokhozhaev, “Solvability of an elliptic problem in $\mathbf R^n$ with a supercritical index of nonlinearity”, Soviet Math. Dokl., 42:1 (1991), 215–219

1992
137.	S. I. Pokhozhaev, “On the method of fibering a solution in nonlinear boundary value problems”, Proc. Steklov Inst. Math., 192 (1992), 157–173

1990
138.	S. I. Pokhozhaev, “O novom integralnom sootnoshenii i ego primenenii k nelineinym ellipticheskim zadacham”, Tezisy III Mezhdunarodnoi konferentsii pamyati M. A. Lavrenteva (Novosibirsk, 10–14 sentyabrya 1990 g.), SO AN SSSR, 1990, 34

1989
139.	S. I. Pokhozhaev, “On a problem of L. V. Ovsyannikov”, J. Appl. Mech. Tech. Phys., 30:2 (1989), 169–174
140.	S. I. Pokhozhaev, V. V. Zharinov, M. A. Illarionov, V. P. Pikulin, Prikladnoi nelineinyi analiz, MEI, M., 1989
141.	V. P. Pikulin, S. I. Pokhozhaev, Prakticheskii kurs po uravneniyam matematicheskoi fiziki, MEI, M., 1989
142.	S. I. Pokhozhaev, “A problem of L. V. Ovsyannikov”, J. Appl. Mech. Tech. Phys., 30:2 (1989), 169–174

1988
143.	S. I. Pokhozhaev, “On a constructive method of the calculus of variations”, Soviet Math. Dokl., 37:1 (1988), 274–277
144.	S. I. Pokhozhaev, “Ob odnom klasse nelineinykh nekoertsitivnykh zadach”, Issledovaniya v oblasti nelineinykh operatorov, Uralskoe otdelenie AN SSSR, Institut matematiki s VTs RAN, 1988, 5–17

1986
145.	S. I. Pokhozhaev, “O vlozhenii nelineinykh operatorov i apriornykh otsenkakh reshenii nelineinykh uravnenii”, Uravneniya v chastnykh proizvodnykh i ikh prilozheniya (Tbilisi, 1982), Tbilissk. gos. un-t, Tbilisi, 1986, 203–210

1985
146.	S. I. Pokhozhaev, “The Kirchhoff quasilinear hyperbolic equation”, Differ. Equ., 21 (1985), 82–88
147.	S. I. Pokhozhaev, O metode rassloeniya nelineinykh zadach, Mezhvedomstvennyi sbornik po matematike, MEI, 5, 1985

1984
148.	Yu. A. Dubinskii, S. I. Pokhozhaev, V. F. Safonov, A. N. Tikhonov, “Sergei Aleksandrovich Lomov (on his sixtieth birthday)”, Russian Math. Surveys, 39:2 (1984), 223–224

1983
149.	S. I. Pokhozhaev, “A priori bounds of solutions of quasilinear elliptic equations of arbitrary order”, Differ. Equ., 19 (1983), 86–94

1982
150.	S. I. Pokhozhaev, “Ob obschei teorii apriornykh otsenok reshenii nelineinykh uravnenii”, Matematika, Trudy MEI, 566, Izd-vo MEI, M., 1982, 62–69
151.	S. I. Pokhozhaev, “Solvability of certain high-order quasilinear elliptic equations”, Differ. Equ., 18 (1982), 85–92
152.	S. I. Pokhozhaev, “Imbedding of nonlinear operators and a priori estimates of the solutions of nonlinear equations”, Sov. Math. Dokl., 26 (1982), 469–472

1983
153.	S. I. Pokhozhaev, “On the solvability of quasilinear elliptic equations of arbitrary order”, Math. USSR-Sb., 45:2 (1983), 257–271

1982
154.	S. I. Pokhozhaev, “Nelineinye differentsialnye uravneniya v chastnykh proizvodnykh”, Matematicheskaya entsiklopediya, v. 3, Sovetskaya entsiklopediya, 1982, 950–956
155.	S. I. Pokhozhaev, “Ob obschei teorii apriornykh otsenok dlya kvazilineinykh uravnenii”, Dokl. 7-go sovetsko-cheshskogo seminara po problemam matematicheskoi fiziki (Erevan), Erevanskii universitet, 1982, 280–285
156.	S. I. Pokhozhaev, “Ob obschei teorii apriornykh otsenok dlya nelineinykh uravnenii”, Sovmestnye zasedaniya seminara imeni I. G. Petrovskogo po differentsialnym uravneniyam i matematicheskim problemam fiziki i Moskovskogo matematicheskogo obschestva, UMN, 37:4 (1982), 90
157.	S. I. Pokhozhaev, “Ob apriornykh otsenkakh reshenii nelineinykh uravnenii”, Tezisy Vsesoyuznoi konferentsii pamyati M. A. Lavrenteva (Novosibirsk, 1982 g.), SO AN SSSR, 1982, 24–25
158.	G. Fichera, Yu. M. Sukhov, N. P. Klepikov, I. M. Krichever, N. F. Morozov, S. I. Pokhozhaev, V. E. Zakharov, “Sessions of the Petrovskii Seminar on differential equations and mathematical problems of physics”, Uspekhi Mat. Nauk, 37:2(224) (1982), 255–262

1981
159.	S. I. Pokhozhaev, “Higher-order quasilinear elliptic equations”, Differ. Eq., 17:1 (1981), 78–88
160.	S. I. Pokhozhaev, “On subordinate operators of nonlinear equations”, Sov. Math. Dokl., 23 (1981), 272–275
161.	S. I. Pokhozhaev, S. M. Nikolskii, L. D. Kudryavtsev, L. A. Kuznetsov, O novoi programme po matematike dlya inzhenerov, Nauchno-metodicheskoe izdanie po matematike, 9-e izd., MGU, 1981 , 8 pp.
162.	S. I. Pokhozhaev, L. D. Kudryavtsev, L. A. Kuznetsov, “O regionalnykh seminarakh i konferentsiyakh zaveduyuschikh matematicheskimi kafedrami”, Nauchno-metodicheskoe izdanie po matematike, 9, 1981, 113–122

1980
163.	S. I. Pokhozhaev, “Teorema sravneniya i otsutstvie reshenii nelineinykh kraevykh zadach”, Matematika, Trudy MEI, 499, Izd-vo MEI, M., 1980, 42–48
164.	S. I. Pokhozhaev, “Periodicheskie resheniya nekotorykh nelineinykh sistem obyknovennykh differentsialnykh uravnenii”, Differents. uravneniya, 16:1 (1980), 109–116

1982
165.	S. I. Pokhozhaev, “On equations of the form $\Delta u=f(x,u,Du)$”, Math. USSR-Sb., 41:2 (1982), 269–280

1979
166.	S. I. Pohožaev, “On an approach to nonlinear equations”, Sov. Math. Dokl., 20 (1979), 912–916

1978
167.	S. I. Pokhozhaev, “Ob uravnenii neizentropicheskogo dvizheniya gaza”, Trudy MEI, 357, Izd-vo MEI, M., 1978, 81–87
168.	S. I. Pokhozhaev, “Voprosy otsutstviya reshenii nelineinykh kraevykh zadach”, Trudy Vsesoyuznoi konferentsii po uravneniyam s chastnymi proizvodnymi, posvyaschennoi 75-letiyu akademika I. G. Petrovskogo, Izd-vo Mosk. un-ta, M., 1978, 200–203
169.	S. I. Pokhozhaev, “Ob uravneniyakh vida $\Delta u=f(x,u)$”, Sovmestnye zasedaniya seminara imeni I. G. Petrovskogo po differentsialnym uravneniyam i matematicheskim problemam fiziki i Moskovskogo matematicheskogo obschestva (18–20 yanvarya 1978 g.), UMN, 33, no. 3, 1978, 149

1977
170.	K. A. Bezhanov, O. V. Besov, A. V. Bitsadze, I. A. Borachinsky, A. A. Vasharin, V. S. Vladimirov, N. V. Zvolinsky, V. A. Il'in, V. P. Korobeinikov, L. D. Kudryavtsev, L. P. Kuptsov, P. I. Lizorkin, Yu. I. Makarychev, V. E. Mirakov, V. P. Mikhailov, E. F. Mishchenko, S. M. Nikol'skii, Yu. S. Nikol'skii, A. P. Novikov, T. S. Pigolkina, S. I. Pokhozhaev, E. A. Romishevsky, S. L. Sobolev, S. V. Uspenskii, M. I. Shabunin, G. N. Yakovlev, Differ. Uravn., 13:6 (1977), 1149–1153

1975
171.	S. I. Pokhozhaev, “Issledovanie giperbolicheskikh sistem kvazilineinykh uravnenii metodom prodolzheniya”, Matematika, Trudy MEI, 260, Izd-vo MEI, M., 1975, 74–88
172.	S. I. Pokhozhaev, “On a class of quasilinear hyperbolic equations”, Math. USSR-Sb., 25:1 (1975), 145–158

1974
173.	S. I. Pokhozhaev, “Kvazilineinye giperbolicheskie uravneniya Kirkhgofa i zakony sokhraneniya”, Issledovaniya differentsialnykh uravnenii i ikh prilozhenii, Trudy MEI, 201, Izd-vo MEI, M., 1974, 118–126

1972
174.	S. I. Pokhozhaev, “Ob odnom klasse kvazilineinykh giperbolicheskikh sistem”, Vyssh. mat., Trudy MEI, 146, Izd-vo MEI, M., 1972, 116–122

1971
175.	S. I. Pokhozhaev, “O nekotorykh nekoertsitivnykh kvazilineinykh ellipticheskikh zadachakh”, Matematika, Trudy MEI, 89, Izd-vo MEI, M., 1971, 11–19
176.	S. I. Pohožaev, “On periodic solutions of some nonlinear hyperbolic equations”, Sov. Math. Dokl., 12 (1971), 980–983
177.	S. I. Pohožaev, “A certain quasilinear parabolic equation”, Differencial'nye Uravnenija, 7 (1971), 73–80

1970
178.	S. I. Pohožaev, “Weakly nonlinear hyperbolic systems”, Trudy Moskov. Mat. Obšč., 23, 1970, 61–76
179.	S. I. Pohozaev, “On solvability of quasilinear parabolic systems”, Soviet Math. Dokl., 11 (1970), 806–809
180.	S. I. Pohožaev, “Conservation laws and a priori estimates for certain nonlinear parabolic equations”, Differencial'nye Uravnenija, 6 (1970), 129–136
181.	S. I. Pokhozhaev, “On the eigenfunctions of quasilinear elliptic problems”, Math. USSR-Sb., 11:2 (1970), 171–188

1969
182.	S. I. Pohožaev, “Normal solvability of nonlinear equations”, Sov. Math. Dokl., 10 (1969), 35–38
183.	S. I. Pokhozhaev, “Normal solubility of nonlinear equations in convex uniform Banach spaces”, Funct. Anal. Appl., 3:2 (1969), 147–151
184.	S. I. Pokhozhaev, “On nonlinear operators having weakly closed range, and quasilinear elliptic equations”, Math. USSR-Sb., 7:2 (1969), 227–250

1968
185.	S. I. Pokhozhaev, “The set of critical values of a functional”, Math. USSR-Sb., 4:1 (1968), 93–98
186.	S. I. Pokhozhaev, “O mnozhestve urovnya funktsionalov”, Doklady nauchno-tekhn. konferentsii MEI (sektsiya matem.), MEI, M., 1968, 63–68

1967
187.	S. I. Pohožaev, “The eigenfunctions of certain nonlinear problems”, Proc. Tech. Sci. Conf. on Advances of Sci. Res., Math. Section, Moskov. Ènerget. Inst., Moscow, 1967, 186–191
188.	S. I. Pokhozhaev, “Solvability of nonlinear equations with odd operators”, Funct. Anal. Appl., 1:3 (1967), 227–233
189.	Yu. A. Dubinskii, S. I. Pokhozhaev, “On a certain class of operators and the solvability of quasilinear elliptic equations”, Math. USSR-Sb., 1:2 (1967), 199–207

1965
190.	S. I. Pohožaev, “Eigenfunctions of the equation $\Delta u+\lambda f(u)=0$”, Sov. Math. Dokl., 6 (1965), 1408–1411
191.	S. I. Pohožaev, “On S.L. Sobolev's embedding theorem in the case $pl=n$”, Proc. Tech. Sci. Conf. on Advances of Sci. Res., Math. Section, Moskov. Ènerget. Inst., Moscow, 1965, 158–170

1962
192.	S. I. Pokhozhaev, A. A. Deribas, “O postanovke zadachi o silnom vzryve na poverkhnosti zhidkosti”, Dokl. AN SSSR, 144:3 (1962), 524–526

1961
193.	S. I. Pohožaev, “The boundary value problem for equation $\Delta u=u^2$”, Sov. Math. Dokl., 2 (1961), 609–613
194.	S. I. Pohožaev, “Analogue of Schmidt's method for non-linear equations”, Soviet Math. Dokl., 2 (1961), 103–105
195.	S. I. Pokhozhaev, “Analogue of Schmidt’s method for nonlinear equations”, Dokl. Akad. Nauk SSSR, 136:3 (1961), 546–548
196.	S. I. Pokhozhaev, Dokl. Akad. Nauk SSSR, 140:3 (1961), 518

1960
197.	S. I. Pohožaev, “The Dirichlet problem for the equation $\Delta u=u^2$”, Soviet Math. Dokl., 1 (1960), 1143–1146

1958
198.	S. I. Pokhozhaev, “Ob odnom voprose sverkhzvukovogo istecheniya”, Trudy MFTI, 1, MFTI, 1958, 167–172

Presentations in Math-Net.Ru

1.	Локальные и глобальные гладкие решения 3D-уравнений Навье–Стокса S. I. Pokhozhaev Conference "Mathematical Physics. Vladimirov-90" dedicated to the 90th anniversary of academician V. S. Vladimirov November 13, 2013 12:00
2.	Blow-up of smooth solutions to the Korteweg–de Vries equation S. I. Pokhozhaev Steklov Mathematical Institute Seminar January 17, 2013 16:00
3.	Blow-up solutions to the Korteweg–de Vries equation S. I. Pohozaev Sixth International Conference on Differential and Functional Differential Equations DFDE-2011 August 17, 2011 10:00
4.	Crifical non-linearities of PDE S. I. Pokhozhaev Meetings of the St. Petersburg Mathematical Society November 16, 2009
5.	Blow-up theory for nonlinear partial differential equations. Critical nonlinearities S. I. Pokhozhaev Steklov Mathematical Institute Seminar February 26, 2009 16:00
6.	Существование и отсутствие глобальных решений уравнения Курамото–Сивашинского в многомерном случае S. I. Pokhozhaev Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS January 22, 2009 11:00
7.	A priori estimates and the absence of solutions of non-linear partial differential equations and inequalities S. I. Pokhozhaev Steklov Mathematical Institute Seminar June 21, 2001

Books in Math-Net.Ru

Function theory and equations of mathematical physics, Collected papers. In commemoration of the 90th anniversary of Lev Dmitrievich Kudryavtsev's birth, Trudy Mat. Inst. Steklova, 283, ed. S. I. Pokhozhaev, A. G. Sergeev, 2013, 287 с.
http://mi.mathnet.ru/book1496
E. Mitidieri, S. I. Pokhozhaev, A priori estimates and blow-up of solutions to nonlinear partial differential equations and inequalities, Trudy Mat. Inst. Steklova, 234, ed. S. M. Nikol'skii, E. F. Mishchenko, 2001, 384 с.
http://mi.mathnet.ru/book247

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