Arkhipova Arina Alexeevna

Publications in Math-Net.Ru

1. 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
2. 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
3. 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
4. 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
5. 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
6. 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
7. 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
8. Variational problem with an obstacle in $\mathbb R^N$ for a class of quadratic functionals
   
   Zap. Nauchn. Sem. POMI, 362 (2008),  15–47
9. 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
10. On the smoothness of weak solutions of strong-nonlinear nondiagonal elliptic systems (the two-dimensional case)
    
    Zap. Nauchn. Sem. POMI, 318 (2004),  5–13
11. 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
12. Solvability of nondiagonal elliptic systems with quadratic growth nonlinearities (two-dimensional case)
    
    Zap. Nauchn. Sem. POMI, 295 (2003),  5–17
13. 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
14. 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
15. 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
16. On a modification of Gehring lemma
    
    Zap. Nauchn. Sem. POMI, 259 (1999),  7–18
17. 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
18. On the Neumann problem for nonlinear elliptic systems with a quadratic nonlinearity
    
    Algebra i Analiz, 8:5 (1996),  189–209
19. 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
20. On the regularity of the solutions of the Neumann problem for quasilinear parabolic systems
    
    Izv. RAN. Ser. Mat., 58:5 (1994),  3–25
21. Reverse Hölder inequalities in parabolic problems with anisotropic data spaces
    
    Trudy Inst. Mat. SO RAN, 24 (1994),  3–19
22. On the regularity of the oblique derivative problem to quasilinear elliptic systems
    
    Zap. Nauchn. Sem. POMI, 213 (1994),  5–13
23. Partial regularity of solutions of quasilinear elliptic systems with nonsmooth condition on the conormal derivative
    
    Mat. Sb., 184:2 (1993),  87–104
24. On the existence of smooth solutions for parabolic sistems with convex constraints on the boundary
    
    Zap. Nauchn. Sem. LOMI, 171 (1989),  5–11
25. 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
26. 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
27. The regularity of solutions of diagonal elliptic systems under boundary convex constraints
    
    Zap. Nauchn. Sem. LOMI, 152 (1986),  5–17
28. Properties of generalized solutions of the Euler equation of a class of nonsmooth functionals
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1982, no. 4,  5–8
29. On least supersolutions for a problem with an obstacle
    
    Izv. Akad. Nauk SSSR Ser. Mat., 37:5 (1973),  1155–1185
30. On smoothness of solutions of the problem with obstacle
    
    Zap. Nauchn. Sem. LOMI, 38 (1973),  7–9


31. On the 90th birthday of Nina Nikolaevna Uraltseva
    
    Uspekhi Mat. Nauk, 79:6(480) (2024),  179–192
32. To the 70th anniversary of Nina Nikolaevna Ural'tseva
    
    Zap. Nauchn. Sem. POMI, 310 (2004),  7–18
33. To the jubillee of O. A. Ladyzhenskaya
    
    Zap. Nauchn. Sem. POMI, 288 (2002),  5–13