Persons
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
 
Vodopyanov, Sergei Konstantinovich

Statistics Math-Net.Ru
Total publications: 105
Scientific articles: 96
Presentations: 11

Number of views:
This page:11561
Abstract pages:36932
Full texts:11560
References:3067
Professor
Doctor of physico-mathematical sciences (1992)
Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date: 9.12.1946
E-mail:
Keywords: Lebesgue spaces of differential forms, distortion of mappings, quasiconformal mapping, cogomology of Riemannian manifolds.

https://www.mathnet.ru/eng/person13262
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/230666
https://orcid.org/0000-0003-1238-4956

Publications in Math-Net.Ru Citations
2024
1. S. K. Vodopyanov, S. Pavlov, “Functional properties of limits of Sobolev homeomorphisms with integrable distortion”, CMFD, 70:2 (2024),  215–236  mathnet 1
2. S. K. Vodopyanov, D. A. Sboev, “Lower semicontinuity of distortion coefficients for homeomorphisms of bounded $(1, \sigma)$-weighted $(q,p)$-distortion on Carnot groups”, Izv. Vyssh. Uchebn. Zaved. Mat., 2024, no. 3,  84–90  mathnet 1
3. S. K. Vodopyanov, “The geometric function properties of the limits of ACL-mappings with integrable distortion”, Sibirsk. Mat. Zh., 65:5 (2024),  820–840  mathnet
4. S. K. Vodopyanov, D. A. Sboev, “Semicontinuity under convergence of homeomorphisms in $L_{1, \mathrm{loc}}$ of the operator distortion function”, Sibirsk. Mat. Zh., 65:4 (2024),  605–621  mathnet
5. S. K. Vodopyanov, S. V. Pavlov, “Boundary values in the geometric function theory in domains with moving boundaries”, Sibirsk. Mat. Zh., 65:3 (2024),  489–516  mathnet
2023
6. S. K. Vodopyanov, A. O. Molchanova, “The boundary behavior of $\mathcal Q_{p,q}$-homeomorphisms”, Izv. RAN. Ser. Mat., 87:4 (2023),  47–90  mathnet  mathscinet; Izv. Math., 87:4 (2023), 683–725  isi  scopus 4
7. S. G. Basalaev, S. K. Vodopyanov, “Openness and discreteness of mappings of finite distortion on Carnot groups”, Sibirsk. Mat. Zh., 64:6 (2023),  1151–1159  mathnet 3
8. S. K. Vodopyanov, “Continuity of the mappings with finite distortion of the Sobolev class $W^1_{\nu,\operatorname{loc}}$ on Carnot groups”, Sibirsk. Mat. Zh., 64:5 (2023),  912–934  mathnet 4
9. S. G. Basalaev, S. K. Vodopyanov, “Hölder continuity of the traces of Sobolev functions to hypersurfaces in Carnot groups and the $\mathcal{P}$-differentiability of Sobolev mappings”, Sibirsk. Mat. Zh., 64:4 (2023),  700–719  mathnet 3
10. S. K. Vodopyanov, “On the Gehring type condition and properties of mappings”, Vladikavkaz. Mat. Zh., 25:3 (2023),  51–58  mathnet
2022
11. S. K. Vodopyanov, “Coincidence of set functions in quasiconformal analysis”, Mat. Sb., 213:9 (2022),  3–33  mathnet  mathscinet; Sb. Math., 213:9 (2022), 1157–1186  isi  scopus 1
12. S. K. Vodopyanov, N. A. Evseev, “Functional and analytical properties of a class of mappings of quasiconformal analysis on Carnot groups”, Sibirsk. Mat. Zh., 63:2 (2022),  283–315  mathnet; Siberian Math. J., 63:2 (2022), 233–261 9
13. S. K. Vodopyanov, “On Poletsky-type modulus inequalities for some classes of mappings”, Vladikavkaz. Mat. Zh., 24:4 (2022),  58–69  mathnet  mathscinet 1
2021
14. S. K. Vodopyanov, A. O. Tomilov, “Functional and analytic properties of a class of mappings in quasi-conformal analysis”, Izv. RAN. Ser. Mat., 85:5 (2021),  58–109  mathnet  elib; Izv. Math., 85:5 (2021), 883–931  isi  scopus 7
15. S. K. Vodopyanov, “On the equivalence of two approaches to problems of quasiconformal analysis”, Sibirsk. Mat. Zh., 62:6 (2021),  1252–1270  mathnet  elib; Siberian Math. J., 62:6 (2021), 1010–1025  isi  scopus 5
16. S. K. Vodopyanov, “A pointwise condition for the absolute continuity of a function of one variable and its applications”, Vladikavkaz. Mat. Zh., 23:4 (2021),  41–49  mathnet
2020
17. S. K. Vodopyanov, “Composition operators on weighted Sobolev spaces and the theory of $\mathscr{Q}_p$-homeomorphisms”, Dokl. RAN. Math. Inf. Proc. Upr., 494 (2020),  21–25  mathnet  zmath  elib; Dokl. Math., 102:2 (2020), 371–375 9
18. S. K. Vodopyanov, “On the Analytic and Geometric Properties of Mappings in the Theory of $\mathscr Q_{q,p}$-Homeomorphisms”, Mat. Zametki, 108:6 (2020),  925–929  mathnet  mathscinet  elib; Math. Notes, 108:6 (2020), 889–894  isi  scopus 7
19. S. K. Vodopyanov, A. I. Tyulenev, “Sobolev $W^1_p$-spaces on $d$-thick closed subsets of $\mathbb R^n$”, Mat. Sb., 211:6 (2020),  40–94  mathnet  mathscinet  elib; Sb. Math., 211:6 (2020), 786–837  isi  scopus 5
20. S. K. Vodopyanov, “The regularity of inverses to Sobolev mappings and the theory of $\mathscr Q_{q,p}$-homeomorphisms”, Sibirsk. Mat. Zh., 61:6 (2020),  1257–1299  mathnet  elib; Siberian Math. J., 61:6 (2020), 1002–1038  isi  scopus 14
2019
21. S. K. Vodopyanov, “Admissible changes of variables for Sobolev functions on (sub-)Riemannian manifolds”, Mat. Sb., 210:1 (2019),  63–112  mathnet  mathscinet  elib; Sb. Math., 210:1 (2019), 59–104  isi  scopus 12
22. S. K. Vodopyanov, “Isomorphisms of Sobolev spaces on Riemannian manifolds and quasiconformal mappings”, Sibirsk. Mat. Zh., 60:5 (2019),  996–1034  mathnet  elib; Siberian Math. J., 60:5 (2019), 774–804  isi  scopus 5
2018
23. N. A. Kudryavtseva, S. K. Vodopyanov, “On the convergence of mappings with $k$-finite distortion”, Probl. Anal. Issues Anal., 7(25):special issue (2018),  88–100  mathnet  isi  elib
24. S. K. Vodopyanov, “Differentiability of mappings of the Sobolev space $W^1_{n-1}$ with conditions on the distortion function”, Sibirsk. Mat. Zh., 59:6 (2018),  1240–1267  mathnet  elib; Siberian Math. J., 59:6 (2018), 983–1005  isi  scopus 12
25. S. K. Vodopyanov, “Basics of the quasiconformal analysis of a two-index scale of spatial mappings”, Sibirsk. Mat. Zh., 59:5 (2018),  1020–1056  mathnet  elib; Siberian Math. J., 59:5 (2018), 805–834  isi  scopus 12
2017
26. A. I. Tyulenev, S. K. Vodop'yanov, “On the Whitney Problem for Weighted Sobolev Spaces”, Dokl. Akad. Nauk, 472:6 (2017),  634–638  mathnet  mathscinet  elib; Dokl. Math., 95:1 (2017), 79–83  isi  scopus 2
27. S. K. Vodop'yanov, N. A. Kudryavtseva, “On the Convergence of Mappings with $k$-Finite Distortion”, Mat. Zametki, 102:6 (2017),  943–948  mathnet  elib; Math. Notes, 102:6 (2017), 878–883  isi  scopus 2
2016
28. S. K. Vodop'yanov, A. O. Molchanova, “Lower semicontinuity of mappings with bounded $(\theta,1)$-weighted $(p,q)$-distortion”, Sibirsk. Mat. Zh., 57:5 (2016),  999–1011  mathnet  elib; Siberian Math. J., 57:5 (2016), 778–787  isi  elib  scopus 8
2015
29. S. K. Vodop'yanov, N. A. Evseev, “Isomorphisms of Sobolev spaces on Carnot groups and quasiconformal mappings”, Sibirsk. Mat. Zh., 56:5 (2015),  989–1029  mathnet  elib; Siberian Math. J., 56:5 (2015), 789–821  isi  elib  scopus 7
30. A. N. Baykin, S. K. Vodop'yanov, “Capacity estimates, Liouville's theorem, and singularity removal for mappings with bounded $(p,q)$-distortion”, Sibirsk. Mat. Zh., 56:2 (2015),  290–321  mathnet  mathscinet  elib; Siberian Math. J., 56:2 (2015), 237–261  isi  elib  scopus 17
2014
31. S. K. Vodop'yanov, N. A. Evseev, “Isomorphisms of Sobolev spaces on Carnot groups and quasi-isometric mappings”, Sibirsk. Mat. Zh., 55:5 (2014),  1001–1039  mathnet  mathscinet; Siberian Math. J., 55:5 (2014), 817–848  isi  scopus 17
2013
32. S. G. Basalaev, S. K. Vodopyanov, “Approximate differentiability of mappings of Carnot–Carathéodory spaces”, Eurasian Math. J., 4:2 (2013),  10–48  mathnet  mathscinet  zmath 36
2012
33. S. K. Vodopyanov, “Regularity of mappings inverse to Sobolev mappings”, Mat. Sb., 203:10 (2012),  3–32  mathnet  mathscinet  zmath  elib; Sb. Math., 203:10 (2012), 1383–1410  isi  scopus 48
2010
34. D. V. Isangulova, S. K. Vodopyanov, “Coercive estimates and integral representation formulas on Carnot groups”, Eurasian Math. J., 1:3 (2010),  58–96  mathnet  mathscinet  zmath 16
35. S. K. Vodop'yanov, “Spaces of differential forms and maps with controlled distortion”, Izv. RAN. Ser. Mat., 74:4 (2010),  5–32  mathnet  mathscinet  zmath  elib; Izv. Math., 74:4 (2010), 663–689  isi  elib  scopus 13
2009
36. S. K. Vodop'yanov, “Spaces of differential forms and mappings with controlled distortion”, Dokl. Akad. Nauk, 424:6 (2009),  727–731  mathnet  mathscinet; Dokl. Math., 79:1 (2009), 105–109  isi  scopus 1
37. S. K. Vodop'yanov, N. A. Kudryavtseva, “Nonlinear potential theory for Sobolev spaces on Carnot groups”, Sibirsk. Mat. Zh., 50:5 (2009),  1016–1036  mathnet  mathscinet  elib; Siberian Math. J., 50:5 (2009), 803–819  isi  scopus 11
2008
38. S. K. Vodop'yanov, N. N. Romanovskii, “Sobolev classes of mappings on a Carnot–Carathéodory space: Various norms and variational problems”, Sibirsk. Mat. Zh., 49:5 (2008),  1028–1045  mathnet  mathscinet  elib; Siberian Math. J., 49:5 (2008), 814–828  isi  scopus 5
2007
39. S. K. Vodop'yanov, I. M. Pupyshev, “The Traces of Bessel Potentials on Regular Subsets of Carnot Groups”, Mat. Tr., 10:2 (2007),  19–61  mathnet  mathscinet; Siberian Adv. Math., 18:1 (2008), 44–75 2
40. S. K. Vodop'yanov, I. M. Pupyshev, “Traces of Sobolev functions on the Ahlfors sets of Carnot groups”, Sibirsk. Mat. Zh., 48:6 (2007),  1201–1221  mathnet  mathscinet  zmath; Siberian Math. J., 48:6 (2007), 961–978  isi  scopus 7
41. S. K. Vodop'yanov, “Differentiability of mappings in the geometry of Carnot manifolds”, Sibirsk. Mat. Zh., 48:2 (2007),  251–271  mathnet  mathscinet  zmath; Siberian Math. J., 48:2 (2007), 197–213  isi  scopus 19
42. S. K. Vodop'yanov, D. V. Isangulova, “Differentiability of the mappings of Carnot–Caratheodory spaces in the Sobolev and $BV$-topologies”, Sibirsk. Mat. Zh., 48:1 (2007),  46–67  mathnet  mathscinet  zmath  elib; Siberian Math. J., 48:1 (2007), 37–55  isi  scopus 7
2006
43. S. K. Vodop'yanov, I. M. Pupyshev, “Boundary Values of Differentiable Functions Defined on an Arbitrary Domain of a Carnot Group”, Mat. Tr., 9:2 (2006),  23–46  mathnet  mathscinet; Siberian Adv. Math., 17:1 (2007), 62–78 2
44. S. K. Vodop'yanov, I. M. Pupyshev, “Whitney-type theorems on extension of functions on Carnot groups”, Sibirsk. Mat. Zh., 47:4 (2006),  731–752  mathnet  mathscinet  zmath; Siberian Math. J., 47:4 (2006), 601–620  isi  scopus 20
2005
45. S. K. Vodop'yanov, “Foundations of the theory of mappings with bounded distortion on Carnot groups”, Dokl. Akad. Nauk, 405:1 (2005),  7–12  mathnet  mathscinet  elib 4
2004
46. S. K. Vodop'yanov, A. D.-O. Ukhlov, “Set Functions and Their Applications in the Theory of Lebesgue and Sobolev Spaces. II”, Mat. Tr., 7:1 (2004),  13–49  mathnet  mathscinet  zmath  elib; Siberian Adv. Math., 15:1 (2005), 91–125 24
2003
47. S. K. Vodop'yanov, A. D.-O. Ukhlov, “Set Functions and Their Applications in the Theory of Lebesgue and Sobolev Spaces. I”, Mat. Tr., 6:2 (2003),  14–65  mathnet  mathscinet  zmath  elib; Siberian Adv. Math., 14:4 (2004), 78–125 61
48. S. K. Vodop'yanov, “Differentiability of maps of Carnot groups of Sobolev classes”, Mat. Sb., 194:6 (2003),  67–86  mathnet  mathscinet  zmath  elib; Sb. Math., 194:6 (2003), 857–877  isi  scopus 43
49. S. K. Vodop'yanov, “The geometry of Carnot-Carathéodory spaces, quasiconformal analysis, and geometric measure theory”, Vladikavkaz. Mat. Zh., 5:1 (2003),  14–34  mathnet  mathscinet  zmath 15
2002
50. S. K. Vodop'yanov, A. D.-O. Ukhlov, “Superposition operators in Sobolev spaces”, Izv. Vyssh. Uchebn. Zaved. Mat., 2002, no. 10,  11–33  mathnet  mathscinet  zmath  elib; Russian Math. (Iz. VUZ), 46:10 (2002), 9–31 59
51. S. K. Vodop'yanov, “Closure of Classes of Mappings with Bounded Distortion on Carnot Groups”, Mat. Tr., 5:2 (2002),  92–137  mathnet  mathscinet  zmath  elib; Siberian Adv. Math., 14:1 (2004), 84–125 29
52. S. K. Vodop'yanov, A. D.-O. Ukhlov, “Superposition operators in Lebesgue spaces and the differentiability of quasi-additive set functions”, Vladikavkaz. Mat. Zh., 4:1 (2002),  11–33  mathnet  mathscinet  zmath 13
2000
53. S. K. Vodop'yanov, “Topological and geometrical properties of mappings with summable Jacobian in Sobolev classes. I”, Sibirsk. Mat. Zh., 41:1 (2000),  23–48  mathnet  mathscinet  zmath; Siberian Math. J., 41:1 (2000), 19–39  isi 36
1999
54. S. K. Vodop'yanov, “Mappings with bounded distortion and with finite distortion on Carnot groups”, Sibirsk. Mat. Zh., 40:4 (1999),  764–804  mathnet  mathscinet  zmath; Siberian Math. J., 40:4 (1999), 644–677  isi 43
1998
55. S. K. Vodop'yanov, I. G. Markina, “Classification of sub-Riemannian manifolds”, Sibirsk. Mat. Zh., 39:6 (1998),  1271–1289  mathnet  mathscinet  zmath; Siberian Math. J., 39:6 (1998), 1096–1111  isi 6
56. S. K. Vodop'yanov, A. D.-O. Ukhlov, “Sobolev spaces and $(P,Q)$-quasiconformal mappings of Carnot groups”, Sibirsk. Mat. Zh., 39:4 (1998),  776–795  mathnet  mathscinet  zmath; Siberian Math. J., 39:4 (1998), 665–682  isi 86
1996
57. S. K. Vodopyanov, A. V. Greshnov, “Continuation of differentiable functions, and quasiconformal mappings on Carnot groups”, Dokl. Akad. Nauk, 348:1 (1996),  15–18  mathnet  mathscinet  zmath 1
58. S. K. Vodopyanov, “Quasiconformal mappings on Carnot groups and their applications”, Dokl. Akad. Nauk, 347:4 (1996),  439–442  mathnet  mathscinet  zmath 6
59. S. K. Vodopyanov, I. G. Markina, “Fundamentals of the nonlinear potential theory for subelliptic equations”, Trudy Inst. Mat. SO RAN, 31 (1996),  100–160  mathnet  mathscinet  zmath
60. S. K. Vodop'yanov, “Monotone functions and quasiconformal mappings on Carnot groups”, Sibirsk. Mat. Zh., 37:6 (1996),  1269–1295  mathnet  mathscinet  zmath; Siberian Math. J., 37:6 (1996), 1113–1136  isi 63
61. S. K. Vodop'yanov, N. A. Kudryavtseva, “Normal families of mappings on Carnot groups”, Sibirsk. Mat. Zh., 37:2 (1996),  273–286  mathnet  mathscinet  zmath; Siberian Math. J., 37:2 (1996), 232–244  isi 9
62. S. K. Vodop'yanov, A. D.-O. Ukhlov, “Approximately differentiable transformations and change of variables on nilpotent groups”, Sibirsk. Mat. Zh., 37:1 (1996),  70–89  mathnet  mathscinet  zmath; Siberian Math. J., 37:1 (1996), 62–78  isi 43
1995
63. S. K. Vodopyanov, A. D.-O. Ukhlov, “Weakly contact transformations and change of variables on nilpotent groups”, Dokl. Akad. Nauk, 341:4 (1995),  439–441  mathnet  mathscinet  zmath
64. S. K. Vodopyanov, V. M. Chernikov, “Sobolev spaces and hypoelliptic equations”, Trudy Inst. Mat. SO RAN, 29 (1995),  7–62  mathnet  mathscinet  zmath 2
65. S. K. Vodop'yanov, A. V. Greshnov, “Analytic properties of quasiconformal mappings on Carnot groups”, Sibirsk. Mat. Zh., 36:6 (1995),  1317–1327  mathnet  mathscinet  zmath; Siberian Math. J., 36:6 (1995), 1142–1151  isi 21
66. S. K. Vodop'yanov, A. V. Greshnov, “On extension of functions of bounded mean oscillation from domains in a space of homogeneous type with intrinsic metric”, Sibirsk. Mat. Zh., 36:5 (1995),  1015–1048  mathnet  mathscinet  zmath; Siberian Math. J., 36:5 (1995), 873–901  isi 30
67. S. K. Vodop'yanov, I. G. Markina, “Exceptional sets for solutions to subelliptic equations”, Sibirsk. Mat. Zh., 36:4 (1995),  805–818  mathnet  mathscinet  zmath; Siberian Math. J., 36:4 (1995), 694–706  isi 6
68. S. K. Vodop'yanov, “Weighted Sobolev spaces and boundary behavior of solutions to degenerate hypoelliptic equations”, Sibirsk. Mat. Zh., 36:2 (1995),  278–300  mathnet  mathscinet  zmath; Siberian Math. J., 36:2 (1995), 246–264  isi 11
69. S. K. Vodop'yanov, “Thin sets in weighted potential theory and degenerate elliptic equations”, Sibirsk. Mat. Zh., 36:1 (1995),  28–36  mathnet  mathscinet  zmath; Siberian Math. J., 36:1 (1995), 24–32  isi 1
1992
70. M. S. Alborova, S. K. Vodopyanov, “Removable singularities of bounded solutions of quasi-elliptic equations”, Sibirsk. Mat. Zh., 33:4 (1992),  3–14  mathnet  mathscinet  zmath; Siberian Math. J., 33:4 (1992), 543–556  isi
71. S. K. Vodopyanov, “Weighted $L_p$ potential theory on homogeneous groups”, Sibirsk. Mat. Zh., 33:2 (1992),  29–48  mathnet  mathscinet  zmath; Siberian Math. J., 33:2 (1992), 201–218  isi 10
1991
72. Yu. I. Boyarskii, S. K. Vodopyanov, “Intrinsic metrics and boundary values of functions of Zygmund classes”, Sibirsk. Mat. Zh., 32:2 (1991),  3–12  mathnet  mathscinet  zmath; Siberian Math. J., 32:2 (1991), 177–185  isi
1990
73. S. K. Vodopyanov, “Weighted $L_p$ potential theory on homogeneous groups”, Dokl. Akad. Nauk SSSR, 314:1 (1990),  37–41  mathnet  mathscinet  zmath; Dokl. Math., 42:2 (1991), 265–270
74. S. K. Vodop'yanov, “The $L_p$ potential theory for generalized kernels”, Mat. Zametki, 47:5 (1990),  146–148  mathnet  mathscinet  zmath 1
1989
75. S. K. Vodopyanov, “$L_p$-theory of potential and quasiconformal mappings on homogeneous groups”, Trudy Inst. Mat. Sib. Otd. AN SSSR, 14 (1989),  45–89  mathnet  mathscinet  zmath
76. S. K. Vodop'yanov, “Potential theory on homogeneous groups”, Mat. Sb., 180:1 (1989),  57–77  mathnet  mathscinet  zmath; Math. USSR-Sb., 66:1 (1990), 59–81  isi 8
77. S. K. Vodopyanov, “Mappings of homogeneous groups and imbeddings of functional spaces”, Sibirsk. Mat. Zh., 30:5 (1989),  25–41  mathnet  mathscinet  zmath; Siberian Math. J., 30:5 (1989), 685–698  isi 17
78. S. K. Vodopyanov, “Intrinsic geometries and boundary values of differentiable functions. I”, Sibirsk. Mat. Zh., 30:2 (1989),  29–42  mathnet  mathscinet  zmath; Siberian Math. J., 30:2 (1989), 191–202  isi 4
1988
79. S. K. Vodopyanov, “Potential theory on homogeneous groups”, Dokl. Akad. Nauk SSSR, 303:1 (1988),  11–15  mathnet  mathscinet  zmath; Dokl. Math., 38:3 (1989), 447–451
80. S. K. Vodopyanov, “Equivalent normings of spaces of differentiable functions in domains and their applications”, Dokl. Akad. Nauk SSSR, 300:4 (1988),  777–781  mathnet  mathscinet  zmath; Dokl. Math., 37:3 (1988), 708–713
81. S. K. Vodopyanov, “Quasielliptic $L_p$-theory of potential and its applications”, Dokl. Akad. Nauk SSSR, 298:4 (1988),  780–784  mathnet  mathscinet  zmath; Dokl. Math., 37:1 (1988), 133–137 1
82. S. K. Vodopyanov, “The maximum principle in potential theory and embedding theorems for anisotropic spaces of differentiable functions”, Sibirsk. Mat. Zh., 29:2 (1988),  17–33  mathnet  mathscinet  zmath; Siberian Math. J., 29:2 (1988), 176–189  isi 6
1987
83. S. K. Vodopyanov, “Geometric properties of domains and estimates for the norm of an extension operator”, Dokl. Akad. Nauk SSSR, 292:4 (1987),  791–795  mathnet  mathscinet 1
84. S. K. Vodopyanov, “Isoperimetric relations and conditions for the extension of differentiable functions”, Dokl. Akad. Nauk SSSR, 292:1 (1987),  11–15  mathnet  mathscinet  zmath 2
85. S. K. Vodopyanov, “Geometric properties of domains and mappings. Lower bounds on the norm of the extension operator”, Trudy Inst. Mat. Sib. Otd. AN SSSR, 7 (1987),  70–101  mathnet  mathscinet  zmath
1979
86. S. K. Vodop'yanov, V. M. Gol'dstein, Yu. G. Reshetnyak, “On geometric properties of functions with generalized first derivatives”, Uspekhi Mat. Nauk, 34:1(205) (1979),  17–65  mathnet  mathscinet  zmath; Russian Math. Surveys, 34:1 (1979), 19–74 42
87. S. K. Vodopyanov, V. M. Gol'dstein, T. G. Latfullin, “A criterion for the extension of functions of the class $L_2^1$ from unbounded plane domains”, Sibirsk. Mat. Zh., 20:2 (1979),  416–419  mathnet  mathscinet  zmath; Siberian Math. J., 20:2 (1979), 298–301  isi 21
1978
88. V. M. Gol'dstein, S. K. Vodop'yanov, “Metric completion of a domain by using a conformal capacity invariant under quasi-conformal mappings”, Dokl. Akad. Nauk SSSR, 238:5 (1978),  1040–1042  mathnet  mathscinet  zmath 6
1977
89. S. K. Vodopyanov, V. M. Gol'dstein, “A test of the removability of sets for $L_p^1$ spaces of quasiconformal and quasi-isomorphic mappings”, Sibirsk. Mat. Zh., 18:1 (1977),  48–68  mathnet  mathscinet  zmath; Siberian Math. J., 18:1 (1977), 35–50  isi 28
1976
90. S. K. Vodopyanov, V. M. Gol'dstein, “Functional characterizations of quasi-isometric mappings”, Sibirsk. Mat. Zh., 17:4 (1976),  768–773  mathnet  mathscinet  zmath; Siberian Math. J., 17:4 (1976), 580–584  isi 18
91. S. K. Vodopyanov, V. M. Gol'dstein, “Quasiconformal mappings, and spaces of functions with first generalized derivatives”, Sibirsk. Mat. Zh., 17:3 (1976),  515–531  mathnet  mathscinet  zmath; Siberian Math. J., 17:3 (1976), 399–411  isi 35
1975
92. S. K. Vodop'yanov, V. M. Gol'dstein, “A criterion for the possibility of eliminating sets for the spaces $W_p^1$ of quasiconformal and quasi-isometric mappings”, Dokl. Akad. Nauk SSSR, 220:4 (1975),  769–771  mathnet  mathscinet  zmath 2
93. S. K. Vodopyanov, “The boundary correspondence for quasiconformal mappings of $n$-dimensional domains”, Sibirsk. Mat. Zh., 16:3 (1975),  630–633  mathnet  mathscinet  zmath; Siberian Math. J., 16:3 (1975), 487–490  isi 3
94. S. K. Vodopyanov, V. M. Gol'dstein, “Lattice isomorphisms of the spaces $W_n^1$ and quasiconformal mappings”, Sibirsk. Mat. Zh., 16:2 (1975),  224–246  mathnet  mathscinet  zmath; Siberian Math. J., 16:2 (1975), 174–189  isi 44
1974
95. S. K. Vodop'yanov, V. M. Gol'dstein, “Lattice isomorphisms of the spaces $W_n^1$, and quasiconformal mappings”, Dokl. Akad. Nauk SSSR, 215:1 (1974),  24–26  mathnet  mathscinet  zmath 1
1970
96. S. K. Vodopyanov, “Estimates of the deviation of quasi-umbilical surfaces from a sphere”, Sibirsk. Mat. Zh., 11:5 (1970),  971–987  mathnet  mathscinet  zmath; Siberian Math. J., 11:5 (1970), 724–735 2

2021
97. A. V. Abanin, O. G. Avsyankin, V. I. Burenkov, B. G. Vakulov, S. K. Vodopyanov, M. L. Gol'dman, V. S. Guliev, I. M. Erusalimskyi, A. N. Karapetyants, M. I. Karyakin, V. M. Kokilashvili, A. G. Kusraev, E. R. Liflyand, A. V. Pskhu, V. S. Rabinovich, S. V. Rogozin, B. S. Rubin, A. P. Soldatov, I. M. Spitkovsky, V. D. Stepanov, Kh. G. Umarov, S. M. Umarkhadzhiev, “Stefan Grigorievich Samko (on the occasion of his 80th birthday)”, Vladikavkaz. Mat. Zh., 23:3 (2021),  126–129  mathnet
2018
98. A. V. Abanin, E. K. Basaeva, A. O. Vatulyan, S. K. Vodop'yanov, A. E. Gutman, V. A. Koibaev, Yu. F. Korobeinik, S. B. Klimentov, S. S. Kutateladze, A. A. Makhnev, B. B. Tasoev, S. M. Umarkhadzhiev, M. Z. Hudalov, “To the 65-th anniversary of prof. A. G. Kusraev”, Vladikavkaz. Mat. Zh., 20:2 (2018),  111–119  mathnet
2014
99. F. G. Avkhadiev, V. A. Botvinnik, S. K. Vodop'yanov, M. Vuorinen, V. M. Gol'dstein, V. V. Goryainov, A. A. Grigor'yan, V. N. Dubinin, I. V. Zhuravlev, V. A. Zorich, V. M. Kesel'man, A. A. Klyachin, V. A. Klyachin, T. G. Latfullin, A. V. Loboda, A. G. Losev, O. Martio, V. I. Pelikh, S. I. Pinchuk, Yu. G. Reshetnyak, A. S. Romanov, A. G. Sergeev, V. G. Tkachev, E. M. Chirka, “Vladimir Mikhailovich Miklyukov (obituary)”, Uspekhi Mat. Nauk, 69:3(417) (2014),  173–176  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 69:3 (2014), 565–568  isi
2013
100. D. A. Archangelsky, B. S. Baizhanov, O. V. Belegradek, V. Ya. Belyaev, L. A. Bokut, M. K. Valiev, S. K. Vodopyanov, M. Gitik, Yu. S. Gurevich, D. O. Daderkin, A. M. Dekhtyar, M. I. Dekhtyar, A. Ya. Dikovsky, S. M. Dudakov, E. I. Zelmanov, B. I. Zilber, S. L. Krushkal, S. S. Kutateladze, Yu. V. Matiyasevich, G. E. Mints, I. Kh. Musikaev, A. K. Rebrov, Yu. G. Reshetnyak, A. L. Semenov, A. P. Stolboushkin, I. A. Taimanov, B. A. Trakhtenbrot, “Mikhail Abramovich Taitslin (1936–2013)”, Sib. Èlektron. Mat. Izv., 10 (2013),  54–65  mathnet
101. S. K. Vodop'yanov, E. I. Gordon, A. E. Gutman, A. V. Koptev, S. S. Kutateladze, S. A. Malyugin, Yu. G. Reshetnyak, “Anatoly Georgievich Kusraev is 60”, Sib. Èlektron. Mat. Izv., 10 (2013),  13–29  mathnet
102. S. K. Vodop'yanov, E. I. Gordon, A. E. Gutman, A. V. Koptev, S. S. Kutateladze, S. A. Malyugin, Yu. G. Reshetnyak, “Anatolii Georgievich Kusraev (on the occasion of his 60th anniversary)”, Vladikavkaz. Mat. Zh., 15:1 (2013),  90–97  mathnet
2009
103. A. Yu. Vesnin, S. K. Vodop'yanov, S. S. Kutateladze, S. P. Novikov, I. A. Taimanov, “Yurii Grigor'evich Reshetnyak (on his 80th birthday)”, Uspekhi Mat. Nauk, 64:5(389) (2009),  185–188  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 64:5 (2009), 961–965  isi
104. A. Yu. Vesnin, S. K. Vodop'yanov, S. S. Kutateladze, I. A. Taimanov, “Yurii Grigor'evich Reshetnyak (on the occasion of his 80th birthday)”, Sibirsk. Mat. Zh., 50:5 (2009),  959–962  mathnet  mathscinet
2007
105. Yu. G. Reshetnyak, S. K. Vodop'yanov, V. I. Kuz'minov, S. S. Kutateladze, I. A. Taimanov, “Yuri Fedorovich Borisov (1925–2007)”, Sib. Èlektron. Mat. Izv., 4 (2007),  28–30  mathnet  mathscinet

Presentations in Math-Net.Ru
1. Функциональные свойства пределов соболевских гомеоморфизмов с интегрируемым искажением и вариационные задачи
S. K. Vodopyanov

May 30, 2024 09:45
2. Отображения с конечным искажением на группах Карно
S. K. Vodopyanov
Seminar on Operator Theory and Function Theory
November 20, 2023 17:30
3. Функциональный подход к задачам геометрической теории функций
S. K. Vodopyanov
VI International Conference "Function Spaces. Differential Operators. Problems of Mathematical Education", dedicated to the centennial anniversary of the corresponding member of Russian Academy of Sciences, academician of European Academy of Sciences L.D. Kudryavtsev
November 18, 2023 12:00   
4. Function spaces and geometry of mappings
S. K. Vodopyanov
Conference on the Theory of Functions of Several Real Variables, dedicated to the 90th anniversary of O. V. Besov
May 30, 2023 11:00   
5. Пространства Соболева и теория отображений
S. K. Vodopyanov

November 10, 2022 17:15
6. Variational problems of nonlinear elasticity and composition operators in Sobolev spaces
S. K. Vodopyanov
International Conference “Differential Equations and Optimal Control” dedicated to the centenary of the birth of Academician Evgenii Frolovich Mishchenko
June 8, 2022 09:30   
7. Квазиконформный анализ и нелинейная теория упругости
S. K. Vodopyanov

August 12, 2021 15:30
8. Quasi-conformal analysis and problems of nonlinear elasticity theory
S. K. Vodopyanov
Mathematical Physics, Dynamical Systems and Infinite-Dimensional Analysis – 2021
July 8, 2021 18:00   
9. КВАЗИКОНФОРМНЫЙ АНАЛИЗ И ЗАДАЧИ НЕЛИНЕЙНОЙ ТЕОРИИ УПРУГОСТИ
S. K. Vodopyanov
Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics
December 18, 2019 17:00   
10. Properties of a new class of spatial mappings and its applications
S. K. Vodop'yanov
International Conference "Geometric Analysis and Control Theory"
December 11, 2016 17:20   
11. Sobolev Spaces, geometric function theory and its application
S. K. Vodop'yanov
International conference on Function Spaces and Approximation Theory dedicated to the 110th anniversary of S. M. Nikol'skii
May 25, 2015 12:50   

Organisations
 
  Contact us:
 Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024