Edit Profile (opens in new tab) Arkhipova, Arina A. Arkhipova Co-Author Distance Author ID: arkhipova.arina-a-arkhipova Published as: Arkhipova, A. A.; Arkhipova, Arina A.; Arkhipova, A.; Arkhipova, Arina; Arkhipova, Arina A. Arkhipova more...less Documents Indexed: 108 Publications since 1973, including 2 Additional arXiv Preprints 1 Contribution as Editor Co-Authors: 21 Co-Authors with 30 Joint Publications 360 Co-Co-Authors all top 5 Co-Authors 79 single-authored 11 Ural’tseva, Nina Nikolaevna 6 Stará, Jana 3 Grishina, Galina V. 2 Chekalin, S. V. 2 Dyakonov, I. V. 2 Kalinkin, Alexander Alexandrovich 2 Kartashov, Yaroslav V. 2 Kompanets, V. O. 2 Kulik, Sergeĭ Pavlovich 2 Ladyzhenskaya, Ol’ga Aleksandrovna 2 Lukina, A. A. 2 Skryabin, N. N. 2 Torner, Lluis 2 Zadkov, V. N. 2 Zhuravitskii, S. A. 1 Elhamahmy, Osman 1 Esterov, Alexander I. 1 John, Oldřich 1 Konotop, Vladimir V. 1 Nazarov, Alexander I. 1 Seregin, Gregory A. all top 5 Serials 31 Journal of Mathematical Sciences (New York) 9 Problemy Matematicheskogo Analiza 8 Journal of Soviet Mathematics 6 Vestnik Leningrad University. Mathematics 5 St. Petersburg Mathematical Journal 4 Vestnik Leningradskogo Universiteta. Matematika, Mekhanika, Astronomiya 4 Commentationes Mathematicae Universitatis Carolinae 4 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova 2 Manuscripta Mathematica 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Zapiski Nauchnykh Seminarov POMI 2 Proceedings of the Steklov Institute of Mathematics 1 Izvestiya Vysshikh Uchebnykh Zavedeniĭ, Matematika 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Mathematische Nachrichten 1 Mathematics of the USSR. Izvestiya 1 Soviet Mathematics 1 Selecta Mathematica Sovietica 1 Forum Mathematicum 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Mathematica Bohemica 1 Siberian Advances in Mathematics 1 Geometric and Functional Analysis. GAFA 1 Computational Mathematics and Mathematical Physics 1 Vestnik St. Petersburg University. Mathematics 1 Russian Academy of Sciences. Izvestiya. Mathematics 1 Russian Academy of Sciences. Sbornik. Mathematics 1 Topological Methods in Nonlinear Analysis 1 Izvestiya: Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Translations. Series 2. American Mathematical Society all top 5 Fields 101 Partial differential equations (35-XX) 20 Calculus of variations and optimal control; optimization (49-XX) 4 Functional analysis (46-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Real functions (26-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 69 Publications have been cited 260 times in 96 Documents Cited by ▼ Year ▼ Partial regularity for solutions of quasilinear parabolic systems with nonsmooth in time principal matrix. Zbl 1284.35096 Arkhipova, Arina A.; Stará, Jana; John, Oldřich 13 2014 Reverse Hölder inequalities with boundary integrals and \(L_ p\)-estimates for solutions of nonlinear elliptic and parabolic boundary-value problems. Zbl 0838.35021 Arkhipova, A. A. 12 1995 Sharp estimates for solutions of a parabolic Signorini problem. Zbl 0857.35073 Arkhipova, A.; Uraltseva, N. 11 1996 Boundary partial regularity for solutions of quasilinear parabolic systems with non smooth in time principal matrix. Zbl 1331.35068 Arkhipova, Arina A.; Stará, Jana 11 2015 On the regularity of the solutions of boundary-value problem for quasilinear elliptic systems with quadratic nonlinearity. Zbl 0866.35024 Arkhipova, A. A. 10 1995 Cauchy-Neumann problem for a class of nondiagonal parabolic systems with quadratic growth nonlinearities I. On the continuability of smooth solutions. Zbl 1046.35047 Arkhipova, A. 9 2000 Partial regularity up to the boundary for weak solutions of elliptic systems with nonlinearity \(q\) greater than two. Zbl 1118.35319 Arkhipova, A. A. 9 2000 Cauchy-Neumann problem for a class of nondiagonal parabolic systems with quadratic nonlinearities. II: Local and global solvability results. Zbl 1115.35069 Arkhipova, A. 8 2001 Local and global solvability of the Cauchy-Dirichlet problem for a class of nonlinear nondiagonal parabolic systems. Zbl 0973.35095 Arkhipova, A. A. 7 2000 Regularity of weak solutions to the model Venttsel problem for linear parabolic systems with nonsmooth in time principal matrix: \(A(t)\)-caloric approximation method. Zbl 1366.35063 Arkhipova, Arina A. 7 2016 Regularity of weak solutions to linear and quasilinear parabolic systems of non-divergence type with non-smooth in time principal matrix: \(A(t)\)-caloric method. Zbl 1380.35041 Arkhipova, Arina A.; Stará, Jana 7 2017 Quasireverse Hölder inequalities and a priori estimates for strongly nonlinear systems. Zbl 1225.35082 Arkhipova, Arina A. 6 2003 Regularity of the solution of a problem with a two-sided constraint on the boundary for elliptic and parabolic equations. Zbl 0711.35023 Arkhipova, A. A.; Ural’tseva, N. N. 6 1989 A priori estimates for quasilinear parabolic systems with quadratic nonlinearities in the gradient. Zbl 1224.35113 Arkhipova, A. A.; Stará, J. 5 2010 Regularity results for quasilinear elliptic systems with nonlinear boundary conditions. Zbl 0859.35014 Arkhipova, A. A. 5 1995 On a partial regularity up to the boundary of weak solutions to quasilinear parabolic systems with quadratic growth. Zbl 0969.35032 Arkhipova, A. A. 5 1997 Global solvability of the Cauchy-Dirichlet problem for the class of nondiagonal parabolic systems with \(q\)-nonlinearity in the gradient, \(1< q< 2\). Zbl 1074.35046 Arkhipova, A. 5 2002 Quasireverse Hölder inequalities in parabolic metric and their applications. Zbl 1223.35196 Arkhipova, A. 5 2007 Regularity of solutions of the model Venttsel’ problem for quasilinear parabolic systems with nonsmooth in time principal matrices. Zbl 1372.35135 Arkhipova, A. A. 5 2017 Regularity problem for \(2m\)-order quasilinear parabolic systems with non smooth in time principal matrix. \((A(t),m)\)-caloric approximation method. Zbl 1407.35103 Arkhipova, Arina A. Arkhipova; Stará, Jana 5 2018 Global solvability of the Cauchy-Dirichlet problem for nondiagonal parabolic systems with variational structure in the case of two spatial variables. Zbl 0953.35059 Arkhipova, A. A. 4 1997 Solvability problem for nondiagonal elliptic systems with a quadratic nonlinearity in the gradient (the two-dimensional case). Zbl 1073.35081 Arkhipova, A. 4 2003 \(L_ p\)-estimates of the gradients of solutions of initial/boundary-value problems for quasilinear parabolic systems. Zbl 0847.35069 Arkhipova, A. A. 4 1992 On a modification of Gehring’s lemma. Zbl 0979.35062 Arkhipova, A. A.; Ladyzhenskaya, O. A. 4 1999 On inhomogeneous incompressible fluids and reverse Hölder inequalities. Zbl 1007.35082 Arkhipova, Arina; Ladyzhenskaya, Olga 4 1997 Regularity of solutions of diagonal elliptic systems in case of convex constraints on the boundary of the domain. Zbl 0607.49006 Arkhipova, A. A.; Ural’tseva, N. N. 4 1986 On the regularity of the oblique derivative problem for quasilinear elliptic systems. Zbl 0872.35019 Arkhipova, A. A. 4 1994 Regularity of weak solutions to the model Venttsel problem for linear divergence elliptic operators in Campanato spaces. Zbl 1302.35141 Arkhipova, A. A.; Lukina, A. A. 4 2013 Estimates for solutions to the model Venttsel problem in Campanato spaces. Zbl 1273.35106 Arkhipova, A. A.; Lukina, A. A. 4 2013 Signorini-type problem in \(\mathbb{R}^N\) for a class of quadratic functionals. Zbl 1214.35017 Arkhipova, Arina 4 2010 Local regularity of weak solutions to quasilinear elliptic systems with one-sided condition on quadratic nonlinearity in the gradient. Zbl 1465.35085 Arkhipova, A. A. 4 2021 Regularity of the solutions of diagonal elliptic systems under convex constraints on the boundary of the domain. Zbl 0642.49003 Arkhipova, A. A.; Ural’tseva, N. N. 3 1988 Best possible smoothness of solutions of variational inequalities in the case of convex constraints on the boundary of the domain. Zbl 0643.49005 Arkhipova, A. A.; Ural’tseva, N. N. 3 1987 Some applications of inverse Hölder inequalities with boundary integral. Zbl 0900.35061 Arkhipova, A. A. 3 1992 Global solvability of the Cauchy–Dirichlet problem for nondiagonal parabolic system of variational structure in the case of two space variables. Zbl 1074.35554 Arkhipova, A. A. 3 1997 On classical solvability of the Cauchy-Dirichlet problem for nondiagonal parabolic systems in the case of two spatial variables. Zbl 1041.35024 Arkhipova, A. A. 3 2001 Regularity of solutions of the oblique derivative problem for quasilinear elliptic systems. Zbl 0867.35015 Arkhipova, A. A. 3 1994 Partial regularity of weak solutions to the model Venttsel problem for quasilinear elliptic systems of equations. Method of A-harmonic approximation. Zbl 1307.35114 Arkhipova, A. A. 3 2014 Partial regularity of solutions to model Venttsel problem for quasilinear elliptic systems of equations with quadratic nonlinearity relative to the gradient. Zbl 1336.35150 Arkhipova, A. A. 3 2015 Regularity conditions for nonlinear elliptic systems with quadratic nonlinearities in the gradient. Zbl 1477.35053 Arkhipova, A. A. 3 2021 Heat flow for a class of quadratic functionals with nondiagonal principal matrix. Existence of a smooth global solution. Zbl 1409.35106 Arkhipova, A. A. 3 2019 Regularity of solutions to quasilinear parabolic systems with time-nonsmooth principal matrix and the Neumann boundary condition. Zbl 1400.35048 Arkhipova, A. A.; Grishina, G. V. 3 2018 On the regularity of the solution of the Neumann problem for quasilinear parabolic systems. Zbl 0857.35054 Arkhipova, A. A. 2 1994 Variational problem with an obstacle in \(\mathbb R^N\) for a class of quadratic functionals. Zbl 1175.49033 Arkhipova, A. A. 2 2009 Limit smoothness of the solutions of variational inequalities under convex constraints on the boundary of the domain. Zbl 0696.49024 Arkhipova, A. A.; Ural’tseva, N. N. 2 1990 Regularity of solutions to a model oblique derivative problem for quasilinear parabolic systems with nondiagonal principal matrices. Zbl 1429.35136 Arkhipova, A. A.; Grishina, G. V. 2 2019 Local regularity of weak solutions to a class of parabolic systems with quadratic nonlinearities in the gradient. Zbl 1511.35060 Arkhipova, Arina A. 2 2023 Inverse Hölder inequalities with the boundary integral and \(L_ p\)- estimates in problems with the Neumann condition. Zbl 0774.35020 Arkhipova, A. A. 1 1989 On boundary smoothness of the solution of a problem with two-sided obstacle. Zbl 0542.49004 Arkhipova, A. A. 1 1984 On the global in time solvability of the Cauchy-Dirichlet problem to nondiagonal parabolic systems with quadratic nonlinearities. Zbl 0931.35065 Arkhipova, A. A. 1 2000 A problem with an obstacle that goes out to the boundary of the domain for a class of quadratic functionals on \(\mathbb {R}^{N}\). Zbl 1232.35043 Arkhipova, A. A. 1 2011 Regularity of solutions of a diagonal elliptic system of variational inequalities. Zbl 0689.49009 Arkhipova, A. A. 1 1986 On the regularity of solutions of model nonlinear elliptic systems with the oblique derivative type boundary condition. Zbl 0927.35016 Arkhipova, A. A. 1 1995 On modifications of the Gehring Lemma appearing in the study of parabolic initial-boundary value problems. Zbl 0917.35046 Arkhipova, A. A. 1 1997 Continuability in time of smooth solutions of strong–nonlinear nondiagonal parabolic systems. Zbl 1049.35093 Arkhipova, Arina 1 2002 A priori estimates near the boundary for solutions of nondiagonal elliptic systems with a strong nonlinearity. Zbl 1073.35082 Arkhipova, A. A. 1 2004 On the smoothness of weak solutions of strong-nonlinear nondiagonal elliptic systems (the two-dimensional case). Zbl 1136.35349 Arkhipova, A. 1 2004 Regularity of the solution of a problem with a two-sided constraint on the boundary for elliptic and parabolic equations. Zbl 0707.35034 Arkhipova, A. A.; Ural’tseva, N. N. 1 1989 On the regularity of weak solutions of model nonlinear elliptic systems under an oblique derivative type boundary condition. Zbl 0886.35033 Arkhipova, A. A. 1 1995 Partial regularity of solutions of quasilinear ellipic systems with nonsmooth condition on the conormal derivative. Zbl 0814.35010 Arkhipova, A. A. 1 1993 Heat flows for a nonconvex Signorini type problem in \(\mathbb R^N\). Zbl 1290.35080 Arkhipova, A. 1 2011 New a priori estimates for nondiagonal strongly nonlinear parabolic systems. Zbl 1156.35336 Arkhipova, Arina 1 2008 Regularity of weak solutions to a model problem with conjugation conditions for quasilinear parabolic systems of equations. Zbl 1372.35151 Arkhipova, A. A. 1 2016 Signs of the leading coefficients of the resultant. Zbl 1379.52012 Arkhipova, Arina; Esterov, Alexander 1 2017 Regularity problem for one class of nonlinear parabolic systems with non-smooth in time principal matrices. Zbl 1463.35139 Arkhipova, Arina A.; Stará, Jana 1 2019 Global solvability of the Cauchy-Dirichlet problem for a class of strongly nonlinear parabolic systems. Zbl 1448.35289 Arkhipova, A. A. 1 2020 The monotonicity condition and a priori estimates of the Hölder norm for a class of nondiagonal elliptic systems with quadratic nonlinearity. Zbl 1202.35041 Arkhipova, A. A. 1 2007 Parabolic systems with quadratic nonlinearities in the gradient. Regularity of solutions. Zbl 1503.35091 Arkhipova, A. A. 1 2022 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. Zbl 1442.35224 Arkhipova, A. A. 1 2020 Local regularity of weak solutions to a class of parabolic systems with quadratic nonlinearities in the gradient. Zbl 1511.35060 Arkhipova, Arina A. 2 2023 Parabolic systems with quadratic nonlinearities in the gradient. Regularity of solutions. Zbl 1503.35091 Arkhipova, A. A. 1 2022 Local regularity of weak solutions to quasilinear elliptic systems with one-sided condition on quadratic nonlinearity in the gradient. Zbl 1465.35085 Arkhipova, A. A. 4 2021 Regularity conditions for nonlinear elliptic systems with quadratic nonlinearities in the gradient. Zbl 1477.35053 Arkhipova, A. A. 3 2021 Global solvability of the Cauchy-Dirichlet problem for a class of strongly nonlinear parabolic systems. Zbl 1448.35289 Arkhipova, A. A. 1 2020 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. Zbl 1442.35224 Arkhipova, A. A. 1 2020 Heat flow for a class of quadratic functionals with nondiagonal principal matrix. Existence of a smooth global solution. Zbl 1409.35106 Arkhipova, A. A. 3 2019 Regularity of solutions to a model oblique derivative problem for quasilinear parabolic systems with nondiagonal principal matrices. Zbl 1429.35136 Arkhipova, A. A.; Grishina, G. V. 2 2019 Regularity problem for one class of nonlinear parabolic systems with non-smooth in time principal matrices. Zbl 1463.35139 Arkhipova, Arina A.; Stará, Jana 1 2019 Regularity problem for \(2m\)-order quasilinear parabolic systems with non smooth in time principal matrix. \((A(t),m)\)-caloric approximation method. Zbl 1407.35103 Arkhipova, Arina A. Arkhipova; Stará, Jana 5 2018 Regularity of solutions to quasilinear parabolic systems with time-nonsmooth principal matrix and the Neumann boundary condition. Zbl 1400.35048 Arkhipova, A. A.; Grishina, G. V. 3 2018 Regularity of weak solutions to linear and quasilinear parabolic systems of non-divergence type with non-smooth in time principal matrix: \(A(t)\)-caloric method. Zbl 1380.35041 Arkhipova, Arina A.; Stará, Jana 7 2017 Regularity of solutions of the model Venttsel’ problem for quasilinear parabolic systems with nonsmooth in time principal matrices. Zbl 1372.35135 Arkhipova, A. A. 5 2017 Signs of the leading coefficients of the resultant. Zbl 1379.52012 Arkhipova, Arina; Esterov, Alexander 1 2017 Regularity of weak solutions to the model Venttsel problem for linear parabolic systems with nonsmooth in time principal matrix: \(A(t)\)-caloric approximation method. Zbl 1366.35063 Arkhipova, Arina A. 7 2016 Regularity of weak solutions to a model problem with conjugation conditions for quasilinear parabolic systems of equations. Zbl 1372.35151 Arkhipova, A. A. 1 2016 Boundary partial regularity for solutions of quasilinear parabolic systems with non smooth in time principal matrix. Zbl 1331.35068 Arkhipova, Arina A.; Stará, Jana 11 2015 Partial regularity of solutions to model Venttsel problem for quasilinear elliptic systems of equations with quadratic nonlinearity relative to the gradient. Zbl 1336.35150 Arkhipova, A. A. 3 2015 Partial regularity for solutions of quasilinear parabolic systems with nonsmooth in time principal matrix. Zbl 1284.35096 Arkhipova, Arina A.; Stará, Jana; John, Oldřich 13 2014 Partial regularity of weak solutions to the model Venttsel problem for quasilinear elliptic systems of equations. Method of A-harmonic approximation. Zbl 1307.35114 Arkhipova, A. A. 3 2014 Regularity of weak solutions to the model Venttsel problem for linear divergence elliptic operators in Campanato spaces. Zbl 1302.35141 Arkhipova, A. A.; Lukina, A. A. 4 2013 Estimates for solutions to the model Venttsel problem in Campanato spaces. Zbl 1273.35106 Arkhipova, A. A.; Lukina, A. A. 4 2013 A problem with an obstacle that goes out to the boundary of the domain for a class of quadratic functionals on \(\mathbb {R}^{N}\). Zbl 1232.35043 Arkhipova, A. A. 1 2011 Heat flows for a nonconvex Signorini type problem in \(\mathbb R^N\). Zbl 1290.35080 Arkhipova, A. 1 2011 A priori estimates for quasilinear parabolic systems with quadratic nonlinearities in the gradient. Zbl 1224.35113 Arkhipova, A. A.; Stará, J. 5 2010 Signorini-type problem in \(\mathbb{R}^N\) for a class of quadratic functionals. Zbl 1214.35017 Arkhipova, Arina 4 2010 Variational problem with an obstacle in \(\mathbb R^N\) for a class of quadratic functionals. Zbl 1175.49033 Arkhipova, A. A. 2 2009 New a priori estimates for nondiagonal strongly nonlinear parabolic systems. Zbl 1156.35336 Arkhipova, Arina 1 2008 Quasireverse Hölder inequalities in parabolic metric and their applications. Zbl 1223.35196 Arkhipova, A. 5 2007 The monotonicity condition and a priori estimates of the Hölder norm for a class of nondiagonal elliptic systems with quadratic nonlinearity. Zbl 1202.35041 Arkhipova, A. A. 1 2007 A priori estimates near the boundary for solutions of nondiagonal elliptic systems with a strong nonlinearity. Zbl 1073.35082 Arkhipova, A. A. 1 2004 On the smoothness of weak solutions of strong-nonlinear nondiagonal elliptic systems (the two-dimensional case). Zbl 1136.35349 Arkhipova, A. 1 2004 Quasireverse Hölder inequalities and a priori estimates for strongly nonlinear systems. Zbl 1225.35082 Arkhipova, Arina A. 6 2003 Solvability problem for nondiagonal elliptic systems with a quadratic nonlinearity in the gradient (the two-dimensional case). Zbl 1073.35081 Arkhipova, A. 4 2003 Global solvability of the Cauchy-Dirichlet problem for the class of nondiagonal parabolic systems with \(q\)-nonlinearity in the gradient, \(1< q< 2\). Zbl 1074.35046 Arkhipova, A. 5 2002 Continuability in time of smooth solutions of strong–nonlinear nondiagonal parabolic systems. Zbl 1049.35093 Arkhipova, Arina 1 2002 Cauchy-Neumann problem for a class of nondiagonal parabolic systems with quadratic nonlinearities. II: Local and global solvability results. Zbl 1115.35069 Arkhipova, A. 8 2001 On classical solvability of the Cauchy-Dirichlet problem for nondiagonal parabolic systems in the case of two spatial variables. Zbl 1041.35024 Arkhipova, A. A. 3 2001 Cauchy-Neumann problem for a class of nondiagonal parabolic systems with quadratic growth nonlinearities I. On the continuability of smooth solutions. Zbl 1046.35047 Arkhipova, A. 9 2000 Partial regularity up to the boundary for weak solutions of elliptic systems with nonlinearity \(q\) greater than two. Zbl 1118.35319 Arkhipova, A. A. 9 2000 Local and global solvability of the Cauchy-Dirichlet problem for a class of nonlinear nondiagonal parabolic systems. Zbl 0973.35095 Arkhipova, A. A. 7 2000 On the global in time solvability of the Cauchy-Dirichlet problem to nondiagonal parabolic systems with quadratic nonlinearities. Zbl 0931.35065 Arkhipova, A. A. 1 2000 On a modification of Gehring’s lemma. Zbl 0979.35062 Arkhipova, A. A.; Ladyzhenskaya, O. A. 4 1999 On a partial regularity up to the boundary of weak solutions to quasilinear parabolic systems with quadratic growth. Zbl 0969.35032 Arkhipova, A. A. 5 1997 Global solvability of the Cauchy-Dirichlet problem for nondiagonal parabolic systems with variational structure in the case of two spatial variables. Zbl 0953.35059 Arkhipova, A. A. 4 1997 On inhomogeneous incompressible fluids and reverse Hölder inequalities. Zbl 1007.35082 Arkhipova, Arina; Ladyzhenskaya, Olga 4 1997 Global solvability of the Cauchy–Dirichlet problem for nondiagonal parabolic system of variational structure in the case of two space variables. Zbl 1074.35554 Arkhipova, A. A. 3 1997 On modifications of the Gehring Lemma appearing in the study of parabolic initial-boundary value problems. Zbl 0917.35046 Arkhipova, A. A. 1 1997 Sharp estimates for solutions of a parabolic Signorini problem. Zbl 0857.35073 Arkhipova, A.; Uraltseva, N. 11 1996 Reverse Hölder inequalities with boundary integrals and \(L_ p\)-estimates for solutions of nonlinear elliptic and parabolic boundary-value problems. Zbl 0838.35021 Arkhipova, A. A. 12 1995 On the regularity of the solutions of boundary-value problem for quasilinear elliptic systems with quadratic nonlinearity. Zbl 0866.35024 Arkhipova, A. A. 10 1995 Regularity results for quasilinear elliptic systems with nonlinear boundary conditions. Zbl 0859.35014 Arkhipova, A. A. 5 1995 On the regularity of solutions of model nonlinear elliptic systems with the oblique derivative type boundary condition. Zbl 0927.35016 Arkhipova, A. A. 1 1995 On the regularity of weak solutions of model nonlinear elliptic systems under an oblique derivative type boundary condition. Zbl 0886.35033 Arkhipova, A. A. 1 1995 On the regularity of the oblique derivative problem for quasilinear elliptic systems. Zbl 0872.35019 Arkhipova, A. A. 4 1994 Regularity of solutions of the oblique derivative problem for quasilinear elliptic systems. Zbl 0867.35015 Arkhipova, A. A. 3 1994 On the regularity of the solution of the Neumann problem for quasilinear parabolic systems. Zbl 0857.35054 Arkhipova, A. A. 2 1994 Partial regularity of solutions of quasilinear ellipic systems with nonsmooth condition on the conormal derivative. Zbl 0814.35010 Arkhipova, A. A. 1 1993 \(L_ p\)-estimates of the gradients of solutions of initial/boundary-value problems for quasilinear parabolic systems. Zbl 0847.35069 Arkhipova, A. A. 4 1992 Some applications of inverse Hölder inequalities with boundary integral. Zbl 0900.35061 Arkhipova, A. A. 3 1992 Limit smoothness of the solutions of variational inequalities under convex constraints on the boundary of the domain. Zbl 0696.49024 Arkhipova, A. A.; Ural’tseva, N. N. 2 1990 Regularity of the solution of a problem with a two-sided constraint on the boundary for elliptic and parabolic equations. Zbl 0711.35023 Arkhipova, A. A.; Ural’tseva, N. N. 6 1989 Inverse Hölder inequalities with the boundary integral and \(L_ p\)- estimates in problems with the Neumann condition. Zbl 0774.35020 Arkhipova, A. A. 1 1989 Regularity of the solution of a problem with a two-sided constraint on the boundary for elliptic and parabolic equations. Zbl 0707.35034 Arkhipova, A. A.; Ural’tseva, N. N. 1 1989 Regularity of the solutions of diagonal elliptic systems under convex constraints on the boundary of the domain. Zbl 0642.49003 Arkhipova, A. A.; Ural’tseva, N. N. 3 1988 Best possible smoothness of solutions of variational inequalities in the case of convex constraints on the boundary of the domain. Zbl 0643.49005 Arkhipova, A. A.; Ural’tseva, N. N. 3 1987 Regularity of solutions of diagonal elliptic systems in case of convex constraints on the boundary of the domain. Zbl 0607.49006 Arkhipova, A. A.; Ural’tseva, N. N. 4 1986 Regularity of solutions of a diagonal elliptic system of variational inequalities. Zbl 0689.49009 Arkhipova, A. A. 1 1986 On boundary smoothness of the solution of a problem with two-sided obstacle. Zbl 0542.49004 Arkhipova, A. A. 1 1984 all cited Publications top 5 cited Publications all top 5 Cited by 75 Authors 43 Arkhipova, Arina A. Arkhipova 6 Stará, Jana 5 Mingione, Giuseppe 4 Chen, Shuhong 4 Garofalo, Nicola 4 Parviainen, Mikko 4 Seregin, Gregory A. 4 Tan, Zhong 3 Banerjee, Agnid 3 Beck, Lisa 3 Duzaar, Frank 3 Grishina, Galina V. 3 Petrosyan, Arshak 3 Smit Vega Garcia, Mariana 2 Andersson, John Erik 2 Bögelein, Verena 2 Consiglieri, Luisa 2 John, Oldřich 2 Lukina, A. A. 2 Repin, Sergeĭ Igorevich 2 Shi, Wenhui 2 Solomyak, Mikhaĭl Zakharovich 2 Ural’tseva, Nina Nikolaevna 2 Yafaev, Dimitri R. 1 Ahmad, Ahmad F. 1 Apushkinskaya, Darya E. 1 Auscher, Pascal 1 Baroni, Paolo 1 Bortz, Simon 1 Burczak, Jan 1 Buseghin, Federico 1 Buslaev, Vladimir Savel’evich 1 Chatzigeorgiou, Georgiana 1 Cheng, Xiaoliang 1 Daněček, Josef 1 Danielli, Donatella 1 di Castro, Agnese 1 Dong, Hongjie 1 Egert, Moritz 1 Fornstedt, Torgny 1 Forssén, Patrik 1 Frehse, Jens 1 Frolova, Elena 1 Giuffrè, Sofia 1 Gulliksson, Mårten E. 1 Hu, Xi 1 Ibrahim, Rabha Waell 1 Idone, Giovanna 1 Jeon, Seongmin 1 Kerimov, A. K. 1 Kim, Doyoon 1 Kristensen, Jan 1 Ladyzhenskaya, Ol’ga Aleksandrovna 1 Le, Dung 1 Lin, Guangliang 1 Martynyuk, Petro M. 1 Masson, Mathias 1 Maugeri, Antonino 1 Obaiys, Suzan J. 1 Of, Günther 1 Padula, Mariarosaria 1 Palatucci, Giampiero 1 Phan, Thanh Xuan 1 Rüland, Angkana 1 Saari, Olli 1 Specovius-Neugebauer, Maria Ursula 1 Steinbach, Olaf 1 Suslina, Tat’yana Aleksandrovna 1 Tang, Lin 1 To, Tung 1 Verma, Ram Baran 1 Voorhaar, Arina 1 Wang, Yanzhen 1 Zeller, Andrew K. 1 Zhang, Ye all top 5 Cited in 41 Serials 34 Journal of Mathematical Sciences (New York) 6 St. Petersburg Mathematical Journal 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Manuscripta Mathematica 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Calculus of Variations and Partial Differential Equations 2 Applicable Analysis 2 Journal of Mathematical Analysis and Applications 2 Advances in Mathematics 2 Journal of Differential Equations 2 Advances in Nonlinear Analysis 1 Archive for Rational Mechanics and Analysis 1 Journal d’Analyse Mathématique 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Commentationes Mathematicae Universitatis Carolinae 1 Indiana University Mathematics Journal 1 Inventiones Mathematicae 1 Journal of Soviet Mathematics 1 Memoirs of the American Mathematical Society 1 Numerische Mathematik 1 Forum Mathematicum 1 Applications of Mathematics 1 Computational Mathematics and Mathematical Physics 1 Communications in Partial Differential Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Vestnik St. Petersburg University. Mathematics 1 Potential Analysis 1 Topological Methods in Nonlinear Analysis 1 Discrete and Continuous Dynamical Systems 1 Abstract and Applied Analysis 1 Journal of Inequalities and Applications 1 European Journal of Mechanics. B. Fluids 1 Communications in Contemporary Mathematics 1 Journal of Evolution Equations 1 Computational Methods in Applied Mathematics 1 Advanced Nonlinear Studies 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Boundary Value Problems 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Journal of Fixed Point Theory and Applications all top 5 Cited in 16 Fields 88 Partial differential equations (35-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 4 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 3 Real functions (26-XX) 3 Numerical analysis (65-XX) 3 Fluid mechanics (76-XX) 2 Functions of a complex variable (30-XX) 2 Ordinary differential equations (34-XX) 2 Functional analysis (46-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Algebraic geometry (14-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Optics, electromagnetic theory (78-XX) 1 Systems theory; control (93-XX) Citations by Year