Edit Profile Zhikov, Vasiliĭ Vasil’evich Compute Distance To: Compute Author ID: zhikov.vasilii-vasilevich Published as: Jikov, V.; Jikov, V. V.; Jikov, Vasili V.; Jikov, Vasilii V.; Zhikov, V. V.; Zhikov, Vasilii; Zhikov, Vasilii V.; Zhikov, Vasilii Vasil’evich; Zhikov, Vasilij V.; Zhikov, Vasiliĭ V.; Zhikov, Vasily; Zhikov, Vasily V.; Zhikov, Vassily; Zikov, V. V. External Links: MGP · Math-Net.Ru · Wikidata · GND Documents Indexed: 207 Publications since 1965, including 5 Books Biographic References: 6 Publications all top 5 Co-Authors 98 single-authored 38 Pastukhova, Svetlana Evgenievna 15 Oleĭnik, Ol’ga Arsen’evna 10 Alkhutov, Yuriy Alexandrovich 10 Kozlov, Sergei M. 5 Levitan, Boris Moiseevich 5 Sirazhudinov, Magomed M. 4 Surnachëv, Mikhaĭl Dmitrievich 3 Kozlov, Serguei M. 3 Piatnitski, Andrey L. 3 Rychago, M. E. 3 Shkalikov, Andreĭ Andreevich 2 Boles Basit, R. 2 Cardone, Gennaro 2 Chechkin, Gregory A. 2 Corbo Esposito, Antonio 2 Ha Tien Ngoan 2 Lukkassen, Dag 2 Tikhomirova, S. V. 2 Yosifian, G. A. 1 Agranovich, Mikhail Semënovich 1 Altukhov, Yu. A. 1 Antontsev, S. V. 1 Antontsev, Stanislav Nikolaevich 1 Astashova, Irina V. 1 Bagirov, Lev A. 1 Barabanov, O. O. 1 Beliaev, Alexei 1 Berdichevskiĭ, Viktor L’vovich 1 Biroli, Marco 1 Cardone, Giuseppe 1 Cherednichenko, Kirill D. 1 Denisov, Vasiliĭ Nikolaevich 1 Esposito, A. Corbo 1 Gasymov, M. G. 1 Ilyashenko, Yulij Sergeevich 1 Kon’kov, Andrej A. 1 Kostyuchenko, Anatolii Gordeevich 1 Kozlov, Valeriĭ Vasil’evich 1 Krivenko, E. V. 1 Marchenko, Vladimir Aleksandrovich 1 Maslov, Klavdii V. 1 Maslov, Viktor Pavlovich 1 Papanicolaou, George C. 1 Pokhozhaev, Stanislav I. 1 Radkevich, Evgeniĭ Vladimirovich 1 Rozov, Nikolaĭ Khristovich 1 Sadovnichiĭ, Viktor Antonovich 1 Sargsyan, I. S. 1 Sergeev, Igor N. 1 Shamaev, Alexei S. 1 Shaposhnikova, Tatiana A. 1 Shepelsky, Dmitry 1 Shul’ga, S. B. 1 Skubachevskii, Aleksandr L. 1 Smyshlyaev, Valery P. 1 Tchou, Nicoletta Anna 1 Tyurin, V. M. 1 Venttsel’, T. D. 1 Vladimirov, Vasiliĭ Sergeevich 1 Vlasov, Viktor Valentinovich 1 Yakubovich, D. A. all top 5 Serials 27 Doklady Mathematics 21 Journal of Mathematical Sciences (New York) 17 Mathematical Notes 9 Russian Mathematical Surveys 9 Functional Analysis and its Applications 9 Soviet Mathematics. Doklady 9 Russian Journal of Mathematical Physics 8 Differential Equations 8 Sbornik: Mathematics 6 Mathematics of the USSR, Sbornik 5 Matematicheskiĭ Sbornik. Novaya Seriya 5 Mathematics of the USSR. Izvestiya 4 Transactions of the Moscow Mathematical Society 4 Proceedings of the Steklov Institute of Mathematics 3 Applicable Analysis 3 Matematicheskie Zametki 3 Uspekhi Matematicheskikh Nauk [N. S.] 3 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 3 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika 3 St. Petersburg Mathematical Journal 3 Izvestiya: Mathematics 2 Moscow University Mathematics Bulletin 2 Differentsial’nye Uravneniya 2 Trudy Moskovskogo Matematicheskogo Obshchestva 2 Asymptotic Analysis 2 Comptes Rendus de l’Académie des Sciences. Série I 2 Teoriya Funktsiĭ, Funktsional’nyĭ Analiz i ikh Prilozheniya 2 Sorosovskiĭ Obrazovatel’nyĭ Zhurnal 2 Networks and Heterogeneous Media 1 Journal of Mathematical Analysis and Applications 1 Ukrainian Mathematical Journal 1 Journal of Differential Equations 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Ricerche di Matematica 1 Sibirskiĭ Matematicheskiĭ Zhurnal 1 Doklady, Akademiya Nauk Azerbaĭdzhanskoĭ SSR 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Matematicheskiĭ Sbornik 1 Russian Academy of Sciences. Izvestiya. Mathematics 1 Russian Academy of Sciences. Sbornik. Mathematics 1 Russian Academy of Sciences. Doklady. Mathematics 1 Advances in Differential Equations 1 Nonlinear Boundary Value Problems 1 Communications on Pure and Applied Analysis 1 Complex Variables and Elliptic Equations 1 Series on Advances in Mathematics for Applied Sciences 1 Zbirnyk Prats’ Instytutu Matematyky NAN Ukraïny all top 5 Fields 140 Partial differential equations (35-XX) 33 Calculus of variations and optimal control; optimization (49-XX) 32 Mechanics of deformable solids (74-XX) 29 Ordinary differential equations (34-XX) 26 Operator theory (47-XX) 14 Fluid mechanics (76-XX) 13 Functional analysis (46-XX) 7 History and biography (01-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Probability theory and stochastic processes (60-XX) 5 Measure and integration (28-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 3 General and overarching topics; collections (00-XX) 3 Abstract harmonic analysis (43-XX) 2 Integral equations (45-XX) 2 General topology (54-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Number theory (11-XX) 1 Real functions (26-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 149 Publications have been cited 2,968 times in 1,937 Documents Cited by ▼ Year ▼ Averaging of functionals of the calculus of variations and elasticity theory. Zbl 0599.49031Zhikov, V. V. 335 1987 Almost periodic functions and differential equations. Zbl 0499.43005Levitan, B. M.; Zhikov, V. V. 257 1982 Homogenization of differential operators. Zbl 0801.35001Jikov, V. V.; Kozlov, S. M.; Oleĭnik, O. A. 218 1993 On Lavrentiev’s phenomenon. Zbl 0910.49020Zhikov, Vasiliĭ V. 181 1995 On some variational problems. Zbl 0917.49006Zhikov, Vasilij V. 177 1997 Homogenization of differential operators and integral functionals. Transl. from the Russian by G. A. Yosifian. Zbl 0838.35001Zhikov, V. V.; Kozlov, S. M.; Olejnik, O. A. 154 1994 Almost periodic functions and differential equations. (Pochti- periodicheskie funktsii i differentsial’nye uravneniya). Zbl 0414.43008Levitan, B. M.; Zhikov, V. V. 117 1978 On an extension of the method of two-scale convergence and its applications. Zbl 0969.35048Zhikov, V. V. 93 2000 On the density of smooth functions in Sobolev-Orlicz spaces. Zbl 1086.46026Zhikov, V. V. 58 2004 Weighted Sobolev spaces. Zbl 0919.46026Zhikov, V. V. 58 1998 Averaging and G-convergence of differential operators. Zbl 0445.35096Zhikov, V. V.; Kozlov, S. M.; Oleĭnik, O. A.; Hà Tiên Ngoan 56 1979 On operator estimates for some problems in homogenization theory. Zbl 1387.35037Zhikov, V. V.; Pastukhova, S. E. 54 2005 Higher integrability for parabolic equations of \(p(x,t)\)-Laplacian type. Zbl 1122.35043Antontsev, Stanislav; Zhikov, Vasilii 48 2005 Homogenization of elasticity problems on singular structures. Zbl 1043.35031Zhikov, V. V. 46 2002 Meyers type estimates for the solution of a nonlinear Stokes system. Zbl 0911.35089Zhikov, V. V. 45 1997 On the passage to the limit in nonlinear variational problems. Zbl 0767.35021Zhikov, V. V. 37 1992 Estimates of homogenization for a parabolic equation with periodic coefficients. Zbl 1129.35012Zhikov, V. V.; Pastukhova, S. E. 36 2006 On variational problems and nonlinear elliptic equations with nonstandard growth conditions. Zbl 1279.49005Zhikov, V. V. 33 2011 On operator estimates in homogenization theory. Zbl 1130.35312Zhikov, V. V. 31 2005 Some estimates from homogenization theory. Zbl 1155.35311Zhikov, V. V. 29 2006 On two-scale convergence. Zbl 1284.35054Zhikov, V. V. 29 2003 Solvability of the three-dimensional thermistor problem. Zbl 1237.35058Zhikov, V. V. 28 2008 Non-local homogenized limits for composite media with highly anisotropic periodic fibres. Zbl 1101.74024Cherednichenko, K. D.; Smyshlyaev, V. P.; Zhikov, V. V. 28 2006 Connectedness and homogenization. Examples of fractal conductivity. Zbl 0874.35011Zhikov, V. V. 24 1996 G-convergence of parabolic operators. Zbl 0479.35047Zhikov, V. V.; Kozlov, S. M.; Oleĭnik, O. A. 24 1981 Operator estimates in homogenization theory. Zbl 1354.35028Zhikov, V. V.; Pastukhova, S. E. 22 2016 Averaging of problems in the theory of elasticity on periodic grids of critical thickness. Zbl 1077.35023Zhikov, V. V.; Pastukhova, S. E. 21 2003 Lavrentiev phenomenon and homogenization for some variational problems. Zbl 0783.35005Zhikov, Vasily 21 1993 On the property of higher integrability for parabolic systems of variable order of nonlinearity. Zbl 1204.35060Zhikov, V. V.; Pastukhova, S. E. 19 2010 On the technique for passing to the limit in nonlinear elliptic equations. Zbl 1271.35033Zhikov, V. V. 18 2009 Homogenization of degenerate elliptic equations. Zbl 1164.35009Zhikov, V. V.; Pastukhova, S. E. 18 2008 On gaps in the spectrum of some elliptic operators in divergent form with periodic coefficients. Zbl 1174.35458Zhikov, V. V. 18 2005 Spectral approach to asymptotic problems in diffusion. Zbl 0695.35014Zhikov, V. V. 18 1989 Averaging of singularly perturbed elliptic operators. Zbl 0556.35003Zhikov, V. V.; Krivenko, E. V. 18 1983 Questions of convergence, duality, and averaging for functionals of the calculus of variations. Zbl 0551.49012Zhikov, V. V. 17 1984 Averaging and \(G\)-convergence of differential operators. Zbl 0421.35076Zhikov, V. V.; Kozlov, S. M.; Oleĭnik, O. A.; Hà Tiên Ngoan 17 1979 Favard theory. Zbl 0378.34049Zikov, V. V.; Levitan, B. M. 17 1977 Parabolic equations with variable order of nonlinearity. Zbl 1199.35020Altukhov, Yu. A.; Antontsev, S. V.; Zhikov, V. V. 16 2009 Improved integrability of the gradients of solutions of elliptic equations with variable nonlinearity exponent. Zbl 1172.35024Zhikov, V. V.; Pastukhova, S. E. 15 2008 On passage to the limit in nonlinear variational problems. Zbl 0791.35036Zhikov, V. V. 15 1992 Remarks on the uniqueness of a solution of the Dirichlet problem for second-order elliptic equations with lower-order terms. Zbl 1147.35302Zhikov, V. V. 14 2004 To the problem of passage to the limit in divergent nonuniformly elliptic equations. Zbl 1085.35054Zhikov, V. V. 14 2001 Existence theorems for solutions of parabolic equations with variable order of nonlinearity. Zbl 1213.35262Alkhutov, Yu. A.; Zhikov, V. V. 13 2010 On passage to the limit in nonlinear elliptic equations. Zbl 1184.35131Zhikov, V. V. 13 2008 Questions of convergence, duality, and averaging for functionals of calculus of variations. Zbl 0534.49014Zhikov, V. V. 13 1983 New approach to the solvability of generalized Navier-Stokes equations. Zbl 1271.35061Zhikov, V. V. 12 2009 Homogenization of random singular structures and random measures. Zbl 1113.35021Zhikov, V. V.; Pyatniskii, A. L. 12 2006 Spectral method in homogenization theory. Zbl 1127.35311Zhikov, V. V. 12 2005 Lavrent’ev effect and the averaging of nonlinear variational problems. Zbl 0749.49022Zhikov, V. V. 12 1991 Estimates for the averaged matrix and the averaged tensor. Zbl 0751.15014Zhikov, V. V. 12 1991 On the homogenization of degenerate elliptic equations. Zbl 1152.35044Zhikov, V. V.; Pastukhova, S. E.; Tikhomirova, S. V. 11 2006 On homogenization of networks and junctions. Zbl 1031.35018Chechkin, Gregory A.; Jikov, Vasili V.; Lukkassen, Dag; Piatnitski, Andrey L. 11 2002 On the G-convergence of parabolic operators. Zbl 0467.35056Zhikov, V. V.; Kozlov, S. M.; Oleĭnik, O. A. 11 1981 Existence theorem for some pairs of coupled elliptic equations. Zbl 1180.35224Zhikov, V. V. 10 2008 On the compensated compactness principle. Zbl 1211.35075Zhikov, V. V.; Pastukhova, S. E. 9 2010 On a homogenization technique for variational problems. Zbl 0959.49016Zhikov, V. V. 9 1999 On the homogenization of nonlinear variational problems in perforated domains. Zbl 0914.35014Zhikov, Vasilii V. 9 1994 Asymptotic behavior and stabilization of the solutions of a second order parabolic equation with lower terms. Zbl 0557.35060Zhikov, V. V. 9 1983 Existence and uniqueness theorems for solutions of parabolic equations with a variable nonlinearity exponent. Zbl 1295.35289Alkhutov, Yu A.; Zhikov, V. V. 8 2014 On the solvability of the Navier-Stokes equations for a compressible non-Newtonian fluid. Zbl 1387.35509Zhikov, V. V.; Pastukhova, S. E. 8 2009 Density of smooth functions in weighted Sobolev spaces. Zbl 1303.46027Zhikov, V. V. 7 2013 On gaps in the spectrum of the operator of elasticity theory on a high contrast periodic structure. Zbl 1302.35362Zhikov, V. V.; Pastukhova, S. E. 7 2013 Hölder continuity of solutions of parabolic equations with variable nonlinearity exponent. Zbl 1291.35110Alkhutov, Yu. A.; Zhikov, V. V. 7 2011 Homogenization of monotone operators under conditions of coercitivity and growth of variable order. Zbl 1237.35012Zhikov, V. V.; Pastukhova, S. E. 7 2011 Averaging of parabolic operators. Zbl 0576.35052Zhikov, V. V.; Kozlov, S. M.; Olejnik, O. A. 7 1984 On the Trotter–Kato theorem in a variable space. Zbl 1158.47027Zhikov, V. V.; Pastukhova, S. E. 6 2007 On the Hölder property of solutions of degenerate elliptic equations. Zbl 1090.35510Alkhutov, Yu. A.; Zhikov, V. V. 6 2001 Diffusion in an incompressible random flow. Zbl 0902.35127Zhikov, V. V. 6 1997 On Lavrent’ev’s effect. Zbl 0919.49010Zhikov, V. V. 6 1995 Averaging in perforated random domains of general type. Zbl 0801.60058Zhikov, V. V. 6 1993 Averaging of parabolic operators. Zbl 0531.35041Zhikov, V. V.; Kozlov, S. M.; Olejnik, O. A. 6 1982 Averaging of parabolic operators with almost periodic coefficients. Zbl 0487.35050Zhikov, V. V.; Kozlov, S. M.; Oleĭnik, O. A. 6 1982 Beweis eines Satzes von Favard über die Existenz einer fastperiodischen Lösung im Fall eines beliebigen Banachraumes. Zbl 0375.34037Zikov, V. V. 6 1978 Bloch principle for elliptic differential operators with periodic coefficients. Zbl 1351.35026Zhikov, V. V.; Pastukhova, S. E. 5 2016 The \( \Gamma\)-convergence of oscillating integrands with nonstandard coercivity and growth conditions. Zbl 1293.49031Zhikov, V. V.; Pastukhova, S. E. 5 2014 On existence and uniqueness classes for the Cauchy problem for parabolic equations of the \(p\)-Laplace type. Zbl 1267.35102Surnachev, Mikhail D.; Zhikov, Vasily V. 5 2013 Lemmas on compensated compactness in elliptic and parabolic equations. Zbl 1216.35045Zhikov, V. V.; Pastukhova, S. E. 5 2010 On the weak convergence of fluxes to a flux. Zbl 1202.35094Zhikov, V. V. 5 2010 A note on Sobolev spaces. Zbl 1098.46028Zhikov, V. V. 5 2003 Homogenization of elasticity problems on periodic lattices of critical thickness. Zbl 1146.35310Zhikov, V. V.; Pastukhova, S. E. 5 2002 Averaging of problems in the theory of elasticity on singular structures. Zbl 1090.35505Zhikov, V. V. 5 2001 On the homogenization of elliptic operators with almost-periodic coefficients. Zbl 0568.35029Olejnik, O. A.; Zhikov, V. V. 5 1982 On the stabilization of solutions of parabolic equations. Zbl 0398.35048Zikov, V. V. 5 1977 Homogenization estimates of operator type for an elliptic equation with quasiperiodic coefficients. Zbl 1327.35082Pastukhova, S. E.; Zhikov, V. V. 4 2015 Gamma-convergence of integrands with nonstandard coercivity and growth conditions. Zbl 1301.49034Zhikov, V. V.; Pastukhova, S. E. 4 2014 Estimates of the Nash-Aronson type for degenerating parabolic equations. Zbl 1277.35224Zhikov, V. V. 4 2013 Homogenization of a Navier-Stokes-type system for electrorheological fluid. Zbl 1228.35032Zhikov, V. V. 4 2011 Existence theorems and qualitative properties of solutions to parabolic equations with a variable order of nonlinearity. Zbl 1203.35146Alkhutov, Yu. A.; Zhikov, V. V. 4 2010 A class of degenerate elliptic equations. Zbl 1205.35119Alkhutov, Yu. A.; Zhikov, V. V. 4 2003 Effective conductivity of homogeneous random sets. Zbl 0688.60075Zhikov, V. V. 4 1989 Averaging of non-divergent second order elliptic and parabolic operators and stabilization of the solution of the Cauchy problem. Zbl 0472.35021Zhikov, V. V.; Sirazhudinov, M. M. 4 1981 Conditions for the negative spectrum of the Schrödinger equation operator to be discrete and finite. Zbl 0159.19801Gasymov, M. G.; Zhikov, V. V.; Levitan, B. M. 4 1967 Galerkin approximations in problems with \(p\)-Laplacian. Zbl 1360.35061Zhikov, V. V.; Yakubovich, D. A. 3 2016 On density of smooth functions in weighted Sobolev spaces with variable exponents. Zbl 1354.46039Zhikov, V. V.; Surnachev, M. D. 3 2016 Introduction to the theory of two-scale convergence. Zbl 1328.46029Zhikov, V. V.; Yosifian, G. A. 3 2014 Stabilization of solutions to nonlinear parabolic equations of the \(p\)-Laplace type. Zbl 1330.35205Surnachev, M. D.; Zhikov, V. V. 3 2013 Parabolic lemmas on compensated compactness and their applications. Zbl 1203.35148Zhikov, V. V.; Pastukhova, S. E. 3 2010 On operator estimates in nonsymmetric averaging problems. Zbl 1181.35020Zhikov, V. V.; Tikhomirova, S. V. 3 2007 Homogenization of monotone operators by the method of two-scale convergence. Zbl 1120.35010Zhikov, V. V.; Rychago, M. E.; Shul’ga, S. B. 3 2005 On the Korn inequalities on thin periodic frames. Zbl 1072.74056Zhikov, V. V.; Pastukhova, S. E. 3 2004 Homogenization and two-scale convergence in the Sobolev space with an oscillating exponent. Zbl 1415.35030Zhikov, V. V.; Pastukhova, S. E. 1 2019 Operator estimates in homogenization theory. Zbl 1354.35028Zhikov, V. V.; Pastukhova, S. E. 22 2016 Bloch principle for elliptic differential operators with periodic coefficients. Zbl 1351.35026Zhikov, V. V.; Pastukhova, S. E. 5 2016 Galerkin approximations in problems with \(p\)-Laplacian. Zbl 1360.35061Zhikov, V. V.; Yakubovich, D. A. 3 2016 On density of smooth functions in weighted Sobolev spaces with variable exponents. Zbl 1354.46039Zhikov, V. V.; Surnachev, M. D. 3 2016 Homogenization estimates of operator type for an elliptic equation with quasiperiodic coefficients. Zbl 1327.35082Pastukhova, S. E.; Zhikov, V. V. 4 2015 Existence and uniqueness theorems for solutions of parabolic equations with a variable nonlinearity exponent. Zbl 1295.35289Alkhutov, Yu A.; Zhikov, V. V. 8 2014 The \( \Gamma\)-convergence of oscillating integrands with nonstandard coercivity and growth conditions. Zbl 1293.49031Zhikov, V. V.; Pastukhova, S. E. 5 2014 Gamma-convergence of integrands with nonstandard coercivity and growth conditions. Zbl 1301.49034Zhikov, V. V.; Pastukhova, S. E. 4 2014 Introduction to the theory of two-scale convergence. Zbl 1328.46029Zhikov, V. V.; Yosifian, G. A. 3 2014 Uniform convexity and variational convergence. Zbl 1321.49026Zhikov, Vasilii Vasil’evich; Pastukhova, Svetlana Evgenievna 1 2014 Density of smooth functions in weighted Sobolev spaces. Zbl 1303.46027Zhikov, V. V. 7 2013 On gaps in the spectrum of the operator of elasticity theory on a high contrast periodic structure. Zbl 1302.35362Zhikov, V. V.; Pastukhova, S. E. 7 2013 On existence and uniqueness classes for the Cauchy problem for parabolic equations of the \(p\)-Laplace type. Zbl 1267.35102Surnachev, Mikhail D.; Zhikov, Vasily V. 5 2013 Estimates of the Nash-Aronson type for degenerating parabolic equations. Zbl 1277.35224Zhikov, V. V. 4 2013 Stabilization of solutions to nonlinear parabolic equations of the \(p\)-Laplace type. Zbl 1330.35205Surnachev, M. D.; Zhikov, V. V. 3 2013 Vladimir Alexandrovich Kondratiev. July 2, 1935–March 11, 2010. Zbl 1277.01013Agranovich, M. S.; Astashova, I. V.; Bagirov, L. A.; Vlasov, V. V.; Zhikov, V. V.; Ilyashenko, Yu. S.; Kozlov, V. V.; Kon’kov, A. A; Pokhozhaev, S. I.; Radkevich, E. V.; Rozov, N. Kh.; Sergeev, I. N.; Skubachevskii, A. L.; Chechkin, G. A.; Shamaev, A. S.; Shaposhnikova, T. A. 1 2013 On the Navier-Stokes equations: existence theorems and energy equalities. Zbl 1303.35062Zhikov, V. V.; Pastukhova, S. E. 1 2012 On existence and uniqueness classes for the Cauchy problem for the parabolic \(p\)-Laplace equation. Zbl 1269.35016Zhikov, V. V.; Surnachev, M. D. 1 2012 On variational problems and nonlinear elliptic equations with nonstandard growth conditions. Zbl 1279.49005Zhikov, V. V. 33 2011 Hölder continuity of solutions of parabolic equations with variable nonlinearity exponent. Zbl 1291.35110Alkhutov, Yu. A.; Zhikov, V. V. 7 2011 Homogenization of monotone operators under conditions of coercitivity and growth of variable order. Zbl 1237.35012Zhikov, V. V.; Pastukhova, S. E. 7 2011 Homogenization of a Navier-Stokes-type system for electrorheological fluid. Zbl 1228.35032Zhikov, V. V. 4 2011 On the property of higher integrability for parabolic systems of variable order of nonlinearity. Zbl 1204.35060Zhikov, V. V.; Pastukhova, S. E. 19 2010 Existence theorems for solutions of parabolic equations with variable order of nonlinearity. Zbl 1213.35262Alkhutov, Yu. A.; Zhikov, V. V. 13 2010 On the compensated compactness principle. Zbl 1211.35075Zhikov, V. V.; Pastukhova, S. E. 9 2010 Lemmas on compensated compactness in elliptic and parabolic equations. Zbl 1216.35045Zhikov, V. V.; Pastukhova, S. E. 5 2010 On the weak convergence of fluxes to a flux. Zbl 1202.35094Zhikov, V. V. 5 2010 Existence theorems and qualitative properties of solutions to parabolic equations with a variable order of nonlinearity. Zbl 1203.35146Alkhutov, Yu. A.; Zhikov, V. V. 4 2010 Parabolic lemmas on compensated compactness and their applications. Zbl 1203.35148Zhikov, V. V.; Pastukhova, S. E. 3 2010 On the technique for passing to the limit in nonlinear elliptic equations. Zbl 1271.35033Zhikov, V. V. 18 2009 Parabolic equations with variable order of nonlinearity. Zbl 1199.35020Altukhov, Yu. A.; Antontsev, S. V.; Zhikov, V. V. 16 2009 New approach to the solvability of generalized Navier-Stokes equations. Zbl 1271.35061Zhikov, V. V. 12 2009 On the solvability of the Navier-Stokes equations for a compressible non-Newtonian fluid. Zbl 1387.35509Zhikov, V. V.; Pastukhova, S. E. 8 2009 Solvability of the three-dimensional thermistor problem. Zbl 1237.35058Zhikov, V. V. 28 2008 Homogenization of degenerate elliptic equations. Zbl 1164.35009Zhikov, V. V.; Pastukhova, S. E. 18 2008 Improved integrability of the gradients of solutions of elliptic equations with variable nonlinearity exponent. Zbl 1172.35024Zhikov, V. V.; Pastukhova, S. E. 15 2008 On passage to the limit in nonlinear elliptic equations. Zbl 1184.35131Zhikov, V. V. 13 2008 Existence theorem for some pairs of coupled elliptic equations. Zbl 1180.35224Zhikov, V. V. 10 2008 Solvability of generalized Navier-Stokes equations. Zbl 1217.35139Zhikov, V. V. 2 2008 On Gehring’s Lemma. Zbl 1172.35023Zhikov, V. V.; Pastukhova, S. E. 2 2008 On the Trotter–Kato theorem in a variable space. Zbl 1158.47027Zhikov, V. V.; Pastukhova, S. E. 6 2007 On operator estimates in nonsymmetric averaging problems. Zbl 1181.35020Zhikov, V. V.; Tikhomirova, S. V. 3 2007 Estimates of homogenization for a parabolic equation with periodic coefficients. Zbl 1129.35012Zhikov, V. V.; Pastukhova, S. E. 36 2006 Some estimates from homogenization theory. Zbl 1155.35311Zhikov, V. V. 29 2006 Non-local homogenized limits for composite media with highly anisotropic periodic fibres. Zbl 1101.74024Cherednichenko, K. D.; Smyshlyaev, V. P.; Zhikov, V. V. 28 2006 Homogenization of random singular structures and random measures. Zbl 1113.35021Zhikov, V. V.; Pyatniskii, A. L. 12 2006 On the homogenization of degenerate elliptic equations. Zbl 1152.35044Zhikov, V. V.; Pastukhova, S. E.; Tikhomirova, S. V. 11 2006 Estimates of Nash-Aronson type for a diffusion equation with asymmetric matrix and their applications to homogenization. Zbl 1160.35360Zhikov, V. V. 2 2006 Derivation of the limit equations of elasticity theory on thin nets. Zbl 1109.74033Zhikov, V. V.; Pastukhova, S. E. 2 2006 In memory of Boris Levitan. Zbl 1118.01308Kostyuchenko, A. G.; Maslov, V. P.; Sadovnichii, V. A.; Sargsyan, I. S.; Shkalikov, A. A.; Zhikov, V. V. 1 2006 On operator estimates for some problems in homogenization theory. Zbl 1387.35037Zhikov, V. V.; Pastukhova, S. E. 54 2005 Higher integrability for parabolic equations of \(p(x,t)\)-Laplacian type. Zbl 1122.35043Antontsev, Stanislav; Zhikov, Vasilii 48 2005 On operator estimates in homogenization theory. Zbl 1130.35312Zhikov, V. V. 31 2005 On gaps in the spectrum of some elliptic operators in divergent form with periodic coefficients. Zbl 1174.35458Zhikov, V. V. 18 2005 Spectral method in homogenization theory. Zbl 1127.35311Zhikov, V. V. 12 2005 Homogenization of monotone operators by the method of two-scale convergence. Zbl 1120.35010Zhikov, V. V.; Rychago, M. E.; Shul’ga, S. B. 3 2005 Homogenized tensor on networks. Zbl 1138.74380Zhikov, V. V.; Pastukhova, S. E. 1 2005 On the density of smooth functions in Sobolev-Orlicz spaces. Zbl 1086.46026Zhikov, V. V. 58 2004 Remarks on the uniqueness of a solution of the Dirichlet problem for second-order elliptic equations with lower-order terms. Zbl 1147.35302Zhikov, V. V. 14 2004 On the Korn inequalities on thin periodic frames. Zbl 1072.74056Zhikov, V. V.; Pastukhova, S. E. 3 2004 Homogenization of some problems with gradient constraints. Zbl 1077.35014Cardone, G.; Corbo Esposito, A.; Yosifian, G. A.; Zhikov, V. V. 3 2004 On two-scale convergence. Zbl 1284.35054Zhikov, V. V. 29 2003 Averaging of problems in the theory of elasticity on periodic grids of critical thickness. Zbl 1077.35023Zhikov, V. V.; Pastukhova, S. E. 21 2003 A note on Sobolev spaces. Zbl 1098.46028Zhikov, V. V. 5 2003 A class of degenerate elliptic equations. Zbl 1205.35119Alkhutov, Yu. A.; Zhikov, V. V. 4 2003 Korn inequalities for thin periodic structures. Zbl 1246.35031Zhikov, Vasilii V.; Pastukhova, Svetlana E. 2 2003 On the Hölder property of one elliptic equation. Zbl 1137.35383Alkhutov, Yu. A.; Zhikov, V. V. 2 2003 Homogenization on periodic lattices. Zbl 1124.35306Zhikov, V. V.; Pastukhova, S. E. 1 2003 Homogenization of elasticity problems on singular structures. Zbl 1043.35031Zhikov, V. V. 46 2002 On homogenization of networks and junctions. Zbl 1031.35018Chechkin, Gregory A.; Jikov, Vasili V.; Lukkassen, Dag; Piatnitski, Andrey L. 11 2002 Homogenization of elasticity problems on periodic lattices of critical thickness. Zbl 1146.35310Zhikov, V. V.; Pastukhova, S. E. 5 2002 To the problem of passage to the limit in divergent nonuniformly elliptic equations. Zbl 1085.35054Zhikov, V. V. 14 2001 On the Hölder property of solutions of degenerate elliptic equations. Zbl 1090.35510Alkhutov, Yu. A.; Zhikov, V. V. 6 2001 Averaging of problems in the theory of elasticity on singular structures. Zbl 1090.35505Zhikov, V. V. 5 2001 On an extension of the method of two-scale convergence and its applications. Zbl 0969.35048Zhikov, V. V. 93 2000 The fundamental theorem of arithmetic. Zbl 0951.00005Zhikov, V. V. 1 2000 On a homogenization technique for variational problems. Zbl 0959.49016Zhikov, V. V. 9 1999 Homogenization for Heisenberg operator with Neumann boundary conditions. Zbl 0933.35021Biroli, M.; Tchou, N. A.; Zhikov, V. V. 2 1999 Homogenization. In memory of Serguei Kozlov. Zbl 0924.00012Berdichevsky, V. (ed.); Jikov, V. (ed.); Papanicolaou, G. (ed.) 2 1999 Multiscaled homogenization. Zbl 1041.35010Jikov, V. V.; Kozlov, S. M. 1 1999 Weighted Sobolev spaces. Zbl 0919.46026Zhikov, V. V. 58 1998 On some variational problems. Zbl 0917.49006Zhikov, Vasilij V. 177 1997 Meyers type estimates for the solution of a nonlinear Stokes system. Zbl 0911.35089Zhikov, V. V. 45 1997 Diffusion in an incompressible random flow. Zbl 0902.35127Zhikov, V. V. 6 1997 Homogenization of nonlinear second-order elliptic equations in perforated domains. Zbl 0884.35008Zhikov, V. V.; Rychago, M. E. 2 1997 Connectedness and homogenization. Examples of fractal conductivity. Zbl 0874.35011Zhikov, V. V. 24 1996 On Lavrentiev’s phenomenon. Zbl 0910.49020Zhikov, Vasiliĭ V. 181 1995 On Lavrent’ev’s effect. Zbl 0919.49010Zhikov, V. V. 6 1995 Connectedness and homogenization. Examples of the fractal conductivity. Zbl 0900.35038Zhikov, V. V. 1 1995 Homogenization of differential operators and integral functionals. Transl. from the Russian by G. A. Yosifian. Zbl 0838.35001Zhikov, V. V.; Kozlov, S. M.; Olejnik, O. A. 154 1994 On the homogenization of nonlinear variational problems in perforated domains. Zbl 0914.35014Zhikov, Vasilii V. 9 1994 On the homogenization of the system of Stokes equations in a porous medium. Zbl 0835.35112Zhikov, V. V. 3 1994 Homogenization of differential operators. Zbl 0801.35001Jikov, V. V.; Kozlov, S. M.; Oleĭnik, O. A. 218 1993 Lavrentiev phenomenon and homogenization for some variational problems. Zbl 0783.35005Zhikov, Vasily 21 1993 Averaging in perforated random domains of general type. Zbl 0801.60058Zhikov, V. V. 6 1993 On the passage to the limit in nonlinear variational problems. Zbl 0767.35021Zhikov, V. V. 37 1992 On passage to the limit in nonlinear variational problems. Zbl 0791.35036Zhikov, V. V. 15 1992 Asymptotic problems connected with the heat equation in perforated domains. Zbl 0774.35028Zhikov, V. V. 3 1992 Errata to: “Estimates for the averaged matrix and the averaged tensor”. Zbl 0793.15012Zhikov, V. V. 1 1992 ...and 49 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,801 Authors 63 Zhikov, Vasiliĭ Vasil’evich 57 Pastukhova, Svetlana Evgenievna 44 Zhang, Qihu 39 Rădulescu, Vicenţiu D. 31 Papageorgiou, Nikolaos S. 31 Suslina, Tat’yana Aleksandrovna 25 Fan, Xianling 25 Piatnitski, Andrey L. 23 Alkhutov, Yuriy Alexandrovich 20 Antontsev, Stanislav Nikolaevich 20 Nguyen Van Minh 19 Cherednichenko, Kirill D. 17 Cheban, David Nikolai 17 Dai, Guowei 17 Mihăilescu, Mihai 17 Mingione, Giuseppe 16 Ge, Bin 16 Repovš, Dušan D. 16 Surnachëv, Mikhaĭl Dmitrievich 15 Baskakov, Anatoliĭ Grigor’evich 15 Nazarov, Sergeĭ Aleksandrovich 15 Ok, Jihoon 14 Galewski, Marek 13 Afrouzi, Ghasem Alizadeh 13 Byun, Sun-Sig 13 Harjulehto, Petteri 13 Kogut, Peter I. 13 Zhan, Huashui 12 Borisov, Denis Ivanovich 12 Yuan, Rong 11 Cao, Liqun 11 Cardone, Giuseppe 11 Hästö, Peter A. 11 Liu, Xiaopin 11 Qiu, Zhimei 11 Shmarev, Sergey I. 11 Woukeng, Jean Louis 10 Allaoui, Mostafa 10 Barreira, Luis Manuel 10 Basit, Bolis 10 Boureanu, Maria-Magdalena 10 Cooper, Shane 10 Cui, Junzhi 10 Rautian, Nadegda Aleksandrovna 10 Shumilova, Vladlena Valerievna 10 Tarallo, Massimo 10 Valls Anglés, Cláudia 10 Vlasov, Viktor Valentinovich 9 Chechkin, Gregory A. 9 Fu, Yongqiang 9 Heidarkhani, Shapour 9 Lukkari, Teemu 9 Pankratov, Leonid S. 9 Sakbaev, Vsevolod Zhanovich 9 Skrypnik, Igor Igorievich 9 Slyusarchuk, Vasyl Yukhimovich 8 Ayazoglu (Mashiyev), Rabil A. 8 Dragičević, Davor 8 Günzler, Hans 8 Kovalevsky, Alexander Albertovich 8 Mel’nyk, Taras A. 8 N’Guérékata, Gaston Mandata 8 Ouaro, Stanislas 8 Smyshlyaev, Valery P. 8 Tachikawa, Atsushi 7 Abdulle, Assyr 7 Briane, Marc 7 Chiadò Piat, Valeria 7 Eleuteri, Michela 7 Gasiński, Leszek 7 He, Wenming 7 Mamedov, Farman Imran 7 Obaya, Rafael 7 Ourraoui, Anass 7 Panasenko, Grigory P. 7 Pucci, Patrizia 7 Sango, Mamadou 7 Spitkovsky, Ilya M. 7 Xu, Qiang 6 Bögelein, Verena 6 Caraballo Garrido, Tomás 6 Chepyzhov, Vladimir V. 6 Chlebicka, Iwona 6 Colombo, Maria 6 De Filippis, Cristiana 6 Diening, Lars 6 Gilbert, Robert Pertsch 6 Guo, Yunrui 6 Kim, Yunho 6 Kokilashvili, Vakhtang Mikhailovich 6 Leonetti, Francesco 6 Leugering, Günter 6 Lipton, Robert P. 6 Lukkassen, Dag 6 Meshkova, Yuliya Mikhaĭlovna 6 Messaoudi, Salim A. 6 Milton, Graeme Walter 6 Naito, Toshiki 6 Nesi, Vincenzo 6 Niu, Weisheng ...and 1,701 more Authors all top 5 Cited in 310 Serials 151 Nonlinear Analysis. 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