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Arkhipova, Arina Alexeevna
Statistics Math-Net.Ru
Total publications: 32
Scientific articles: 30
Presentations: 2

Number of views:
This page:1142
Abstract pages:7443
Full texts:2508
References:836
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https://www.mathnet.ru/eng/person14019
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https://mathscinet.ams.org/mathscinet/MRAuthorID/212146

Publications in Math-Net.Ru Citations
2024
1. A. A. Arkhipova, “Boundary regularity of unbounded weak solutions of the oblique derivative problem for a class of strongly nonlinear elliptic systems”, Algebra i Analiz, 36:1 (2024),  60–94  mathnet
2. D. E. Apushkinskaya, A. A. Arkhipova, A. I. Nazarov, V. G. Osmolovskii, N. N. Ural'tseva, “A survey of results of St.Petersburg State University research school on nonlinear partial differential equations I”, Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 11:1 (2024),  3–37  mathnet
2023
3. A. A. Arkhipova, “Quasilinear elliptic and parabolic systems with nondiagonal principal matrices and strong nonlinearities in the gradient. Solvability and regularity problems”, CMFD, 69:1 (2023),  18–31  mathnet 3
2019
4. A. A. Arkhipova, “Weak global solvability of the two-phase problem for a class of parabolic systems with strong nonlinearity in the gradient. The case of two spatial variables”, Algebra i Analiz, 31:2 (2019),  118–151  mathnet  elib; St. Petersburg Math. J., 31:2 (2019), 273–296  isi  scopus 3
2018
5. A. A. Arkhipova, “Heat flow for a class of quadratic functionals with nondiagonal principal matrix. Existence of a smooth global solution”, Algebra i Analiz, 30:2 (2018),  45–75  mathnet  mathscinet  elib; St. Petersburg Math. J., 30:2 (2019), 181–202  isi  scopus 6
2017
6. A. A. Arkhipova, “Regularity of solutions of the model Venttsel' problem for quasilinear parabolic systems with nonsmooth in time principal matrices”, Zh. Vychisl. Mat. Mat. Fiz., 57:3 (2017),  470–490  mathnet  elib; Comput. Math. Math. Phys., 57:3 (2017), 476–496  isi  scopus 5
2010
7. A. A. Arkhipova, “A problem with an obstacle that goes out to the boundary of the domain for a class of quadratic functionals on $\mathbb R^n$”, Algebra i Analiz, 22:6 (2010),  3–42  mathnet  mathscinet  zmath; St. Petersburg Math. J., 22:6 (2011), 847–875  isi  scopus 1
2008
8. A. Arkhipova, “Variational problem with an obstacle in $\mathbb R^N$ for a class of quadratic functionals”, Zap. Nauchn. Sem. POMI, 362 (2008),  15–47  mathnet  zmath; J. Math. Sci. (N. Y.), 159:4 (2009), 391–410  scopus 2
2004
9. A. A. Arkhipova, “A priori estimates near the boundary for the solutions of non-diagonal elliptic systems with strong non-linearity”, Izv. RAN. Ser. Mat., 68:2 (2004),  23–38  mathnet  mathscinet  zmath; Izv. Math., 68:2 (2004), 243–258  isi  scopus 3
10. A. A. Arkhipova, “On the smoothness of weak solutions of strong-nonlinear nondiagonal elliptic systems (the two-dimensional case)”, Zap. Nauchn. Sem. POMI, 318 (2004),  5–13  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 136:2 (2006), 3649–3654 1
11. A. A. Arkhipova, “New a priori estimates for $q$-nonlinear elliptic systems with strong nonlinearities in the gradient, $1<q<2$”, Zap. Nauchn. Sem. POMI, 310 (2004),  19–48  mathnet  mathscinet  zmath  elib; J. Math. Sci. (N. Y.), 132:3 (2006), 255–273 1
2003
12. A. A. Arkhipova, “Solvability of nondiagonal elliptic systems with quadratic growth nonlinearities (two-dimensional case)”, Zap. Nauchn. Sem. POMI, 295 (2003),  5–17  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 127:2 (2005), 1821–1827 4
2002
13. A. A. Arkhipova, “On global solvability of the Caushy–Dirichlet problem for a class of nondiagonal systems with $q$-pnonlinearity, $1<q<2$”, Zap. Nauchn. Sem. POMI, 288 (2002),  34–78  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 123:6 (2004), 4539–4564 3
2000
14. A. A. Arkhipova, “Partial regularity up to the boundary of weak solutions of elliptic systems with nonlinearity $\bold q$ greater than two”, Zap. Nauchn. Sem. POMI, 271 (2000),  63–82  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 115:6 (2003), 2735–2746 11
1999
15. A. A. Arkhipova, “Time-local and time global solvability of the Cauchy–Dirichlet problem for a class of nonlinear non-diagonal parabolic systems”, Algebra i Analiz, 11:6 (1999),  69–102  mathnet  mathscinet  zmath; St. Petersburg Math. J., 11:6 (2000), 989–1017 5
16. A. A. Arkhipova, O. A. Ladyzhenskaya, “On a modification of Gehring lemma”, Zap. Nauchn. Sem. POMI, 259 (1999),  7–18  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 109:5 (2002), 1805–1813 6
1997
17. A. A. Arkhipova, “On the partial regularity up to the boundary of weak solutions to quasilinear parabolic systems with quadratic growth”, Zap. Nauchn. Sem. POMI, 249 (1997),  20–39  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 101:5 (2000), 3385–3397 8
1996
18. A. A. Arkhipova, “On the Neumann problem for nonlinear elliptic systems with a quadratic nonlinearity”, Algebra i Analiz, 8:5 (1996),  189–209  mathnet  mathscinet  zmath; St. Petersburg Math. J., 8:5 (1997), 845–861 6
1995
19. A. A. Arkhipova, “On the regularity of solutions of model nonlinear elliptic systems with the oblique derivative type boundary condition”, Zap. Nauchn. Sem. POMI, 221 (1995),  30–57  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 87:2 (1997), 3284–3303 1
1994
20. A. A. Arkhipova, “On the regularity of the solutions of the Neumann problem for quasilinear parabolic systems”, Izv. RAN. Ser. Mat., 58:5 (1994),  3–25  mathnet  mathscinet  zmath; Russian Acad. Sci. Izv. Math., 45:2 (1995), 231–253  isi 5
21. A. A. Arkhipova, “Reverse Hölder inequalities in parabolic problems with anisotropic data spaces”, Trudy Inst. Mat. SO RAN, 24 (1994),  3–19  mathnet  mathscinet  zmath
22. A. A. Arkhipova, “On the regularity of the oblique derivative problem to quasilinear elliptic systems”, Zap. Nauchn. Sem. POMI, 213 (1994),  5–13  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 84:1 (1997), 817–822 6
1993
23. A. A. Arkhipova, “Partial regularity of solutions of quasilinear elliptic systems with nonsmooth condition on the conormal derivative”, Mat. Sb., 184:2 (1993),  87–104  mathnet  mathscinet  zmath; Russian Acad. Sci. Sb. Math., 78:1 (1994), 215–230  isi 3
1989
24. A. A. Arkhipova, N. N. Uraltseva, “On the existence of smooth solutions for parabolic sistems with convex constraints on the boundary”, Zap. Nauchn. Sem. LOMI, 171 (1989),  5–11  mathnet  mathscinet  zmath; J. Soviet Math., 56:2 (1991), 2281–2285 3
1988
25. A. A. Arkhipova, N. N. Ural'tseva, “Regularity of the solution of a problem with a two-sided limit on a boundary for elliptic and parabolic equations”, Trudy Mat. Inst. Steklov., 179 (1988),  5–22  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 179 (1989), 1–19 1
1987
26. A. A. Arkhipova, N. N. Ural'tseva, “Best possible smoothness of solutions of variational inequalities in the case of convex constraints on the boundary of the domain”, Zap. Nauchn. Sem. LOMI, 163 (1987),  5–16  mathnet  zmath 1
1986
27. A. A. Arkhipova, N. N. Ural'tseva, “The regularity of solutions of diagonal elliptic systems under boundary convex constraints”, Zap. Nauchn. Sem. LOMI, 152 (1986),  5–17  mathnet  zmath 3
1982
28. A. A. Arkhipova, “Properties of generalized solutions of the Euler equation of a class of nonsmooth functionals”, Izv. Vyssh. Uchebn. Zaved. Mat., 1982, no. 4,  5–8  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 26:4 (1982), 1–5
1973
29. A. A. Arkhipova, “On least supersolutions for a problem with an obstacle”, Izv. Akad. Nauk SSSR Ser. Mat., 37:5 (1973),  1155–1185  mathnet  mathscinet  zmath; Math. USSR-Izv., 7:5 (1973), 1153–1183 2
30. A. A. Arkhipova, “On smoothness of solutions of the problem with obstacle”, Zap. Nauchn. Sem. LOMI, 38 (1973),  7–9  mathnet  mathscinet  zmath
2004
31. A. A. Arkhipova, G. A. Seregin, “To the 70th anniversary of Nina Nikolaevna Ural'tseva”, Zap. Nauchn. Sem. POMI, 310 (2004),  7–18  mathnet  mathscinet  zmath  elib; J. Math. Sci. (N. Y.), 132:3 (2006), 249–254  elib
2002
32. A. A. Arkhipova, M. S. Birman, V. S. Buslaev, V. G. Osmolovskii, S. I. Repin, G. A. Seregin, N. N. Ural'tseva, T. N. Shilkin, “To the jubillee of O. A. Ladyzhenskaya”, Zap. Nauchn. Sem. POMI, 288 (2002),  5–13  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 123:6 (2004), 4523–4526 2

Presentations in Math-Net.Ru
1. Regularity results for strongly nonlinear elliptic and parabolic systems
A. A. Arkhipova
Friends in Partial Differential Equations
May 24, 2024 10:00   
2. Local Regularity Conditions for Weak Solutions to Quasilinear Parabolic Systems with Strong (Quadratic) Nonlinearity in the Gradient
A. A. Arkhipova
V. I. Smirnov Seminar on Mathematical Physics
October 18, 2021 16:30   

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