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Zhikov, Vasiliĭ Vasil’evich (b. 1940 d. 2017)

Author ID: zhikov.vasilii-vasilevich Recent zbMATH articles by "Zhikov, Vasiliĭ Vasil’evich"
Published as: Zhikov, V. V.; Zikov, V. V.; Zhikov, Vasilii V.; Zhikov, Vasiliĭ V.; Zhikov, Vasily; Jikov, V. V.; Jikov, V.; Zhikov, Vasilii Vasil’evich; Zhikov, Vasilij V.; Jikov, Vasilii V.; Zhikov, Vasily V.; Jikov, Vasili V.; Zhikov, Vasilii; Zhikov, Vassily
Further Spellings: Жиков Василий Васильевич
External Links: MGP · Wikidata · Math-Net.Ru · GND · IdRef
Documents Indexed: 208 Publications since 1965, including 4 Books
1 Contribution as Editor
Biographic References: 6 Publications
Co-Authors: 54 Co-Authors with 106 Joint Publications
1,929 Co-Co-Authors
all top 5

Serials

27 Doklady Mathematics
22 Journal of Mathematical Sciences (New York)
18 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

Publications by Year

Citations contained in zbMATH Open

166 Publications have been cited 5,205 times in 3,249 Documents Cited by Year
Homogenization of differential operators and integral functionals. Transl. from the Russian by G. A. Yosifian. Zbl 0838.35001
Zhikov, V. V.; Kozlov, S. M.; Olejnik, O. A.
743
1994
Averaging of functionals of the calculus of variations and elasticity theory. Zbl 0599.49031
Zhikov, V. V.
591
1987
On Lavrentiev’s phenomenon. Zbl 0910.49020
Zhikov, Vasiliĭ V.
366
1995
Almost periodic functions and differential equations. Zbl 0499.43005
Levitan, B. M.; Zhikov, V. V.
350
1982
On some variational problems. Zbl 0917.49006
Zhikov, Vasilij V.
295
1997
Homogenization of differential operators. (Усреднение дифференциальных операторов.) Zbl 0801.35001
Jikov, V. V.; Kozlov, S. M.; Oleĭnik, O. A.
263
1993
On an extension of the method of two-scale convergence and its applications. Zbl 0969.35048
Zhikov, V. V.
146
2000
Almost periodic functions and differential equations. (Pochti- periodicheskie funktsii i differentsial’nye uravneniya). Zbl 0414.43008
Levitan, B. M.; Zhikov, V. V.
144
1978
On variational problems and nonlinear elliptic equations with nonstandard growth conditions. Zbl 1279.49005
Zhikov, V. V.
138
2011
On operator estimates for some problems in homogenization theory. Zbl 1387.35037
Zhikov, V. V.; Pastukhova, S. E.
106
2005
On the density of smooth functions in Sobolev-Orlicz spaces. Zbl 1086.46026
Zhikov, V. V.
93
2004
Weighted Sobolev spaces. Zbl 0919.46026
Zhikov, V. V.
83
1998
Averaging and G-convergence of differential operators. Zbl 0445.35096
Zhikov, V. V.; Kozlov, S. M.; Oleĭnik, O. A.; Hà Tiên Ngoan
76
1979
Operator estimates in homogenization theory. Zbl 1354.35028
Zhikov, V. V.; Pastukhova, S. E.
73
2016
Meyers type estimates for the solution of a nonlinear Stokes system. Zbl 0911.35089
Zhikov, V. V.
71
1997
Higher integrability for parabolic equations of \(p(x,t)\)-Laplacian type. Zbl 1122.35043
Antontsev, Stanislav; Zhikov, Vasilii
71
2005
Homogenization of elasticity problems on singular structures. Zbl 1043.35031
Zhikov, V. V.
69
2002
On operator estimates in homogenization theory. Zbl 1130.35312
Zhikov, V. V.
66
2005
Estimates of homogenization for a parabolic equation with periodic coefficients. Zbl 1129.35012
Zhikov, V. V.; Pastukhova, S. E.
64
2006
Lavrentiev phenomenon and homogenization for some variational problems. Zbl 0783.35005
Zhikov, Vasily
50
1993
Solvability of the three-dimensional thermistor problem. Zbl 1237.35058
Zhikov, V. V.
50
2008
On two-scale convergence. Zbl 1284.35054
Zhikov, V. V.
41
2003
On gaps in the spectrum of some elliptic operators in divergent form with periodic coefficients. Zbl 1174.35458
Zhikov, V. V.
41
2005
On the passage to the limit in nonlinear variational problems. Zbl 0767.35021
Zhikov, V. V.
37
1992
Non-local homogenized limits for composite media with highly anisotropic periodic fibres. Zbl 1101.74024
Cherednichenko, K. D.; Smyshlyaev, V. P.; Zhikov, V. V.
37
2006
Homogenization of random singular structures and random measures. Zbl 1113.35021
Zhikov, V. V.; Pyatniskii, A. L.
36
2006
Some estimates from homogenization theory. Zbl 1155.35311
Zhikov, V. V.
34
2006
Spectral approach to asymptotic problems in diffusion. Zbl 0695.35014
Zhikov, V. V.
33
1989
Improved integrability of the gradients of solutions of elliptic equations with variable nonlinearity exponent. Zbl 1172.35024
Zhikov, V. V.; Pastukhova, S. E.
31
2008
Averaging of problems in the theory of elasticity on periodic grids of critical thickness. Zbl 1077.35023
Zhikov, V. V.; Pastukhova, S. E.
30
2003
On the technique for passing to the limit in nonlinear elliptic equations. Zbl 1271.35033
Zhikov, V. V.
29
2009
Spectral method in homogenization theory. Zbl 1127.35311
Zhikov, V. V.
27
2005
Connectedness and homogenization. Examples of fractal conductivity. Zbl 0874.35011
Zhikov, V. V.
27
1996
Homogenization of degenerate elliptic equations. Zbl 1164.35009
Zhikov, V. V.; Pastukhova, S. E.
27
2008
Averaging of singularly perturbed elliptic operators. Zbl 0556.35003
Zhikov, V. V.; Krivenko, E. V.
26
1983
Questions of convergence, duality, and averaging for functionals of calculus of variations. Zbl 0534.49014
Zhikov, V. V.
25
1983
G-convergence of parabolic operators. Zbl 0479.35047
Zhikov, V. V.; Kozlov, S. M.; Oleĭnik, O. A.
25
1981
On the property of higher integrability for parabolic systems of variable order of nonlinearity. Zbl 1204.35060
Zhikov, V. V.; Pastukhova, S. E.
25
2010
Remarks on the uniqueness of a solution of the Dirichlet problem for second-order elliptic equations with lower-order terms. Zbl 1147.35302
Zhikov, V. V.
23
2004
Questions of convergence, duality, and averaging for functionals of the calculus of variations. Zbl 0551.49012
Zhikov, V. V.
21
1984
On passage to the limit in nonlinear variational problems. Zbl 0791.35036
Zhikov, V. V.
20
1992
Favard theory. Zbl 0378.34049
Zikov, V. V.; Levitan, B. M.
20
1977
Averaging and \(G\)-convergence of differential operators. (Mittelung und G-Konvergenz von Differentialoperatoren.) Zbl 0421.35076
Zhikov, V. V.; Kozlov, S. M.; Oleĭnik, O. A.; Hà Tiên Ngoan
20
1979
Existence theorems for solutions of parabolic equations with variable order of nonlinearity. Zbl 1213.35262
Alkhutov, Yu. A.; Zhikov, V. V.
19
2010
Estimates for the averaged matrix and the averaged tensor. Zbl 0751.15014
Zhikov, V. V.
19
1991
New approach to the solvability of generalized Navier-Stokes equations. Zbl 1271.35061
Zhikov, V. V.
18
2009
On passage to the limit in nonlinear elliptic equations. Zbl 1184.35131
Zhikov, V. V.
17
2008
Existence and uniqueness theorems for solutions of parabolic equations with a variable nonlinearity exponent. Zbl 1295.35289
Alkhutov, Yu A.; Zhikov, V. V.
17
2014
Parabolic equations with variable order of nonlinearity. Zbl 1199.35020
Altukhov, Yu. A.; Antontsev, S. V.; Zhikov, V. V.
17
2009
To the problem of passage to the limit in divergent nonuniformly elliptic equations. Zbl 1085.35054
Zhikov, V. V.
16
2001
Beweis eines Satzes von Favard über die Existenz einer fastperiodischen Lösung im Fall eines beliebigen Banachraumes. Zbl 0375.34037
Zikov, V. V.
15
1978
Hölder continuity of solutions of parabolic equations with variable nonlinearity exponent. Zbl 1291.35110
Alkhutov, Yu. A.; Zhikov, V. V.
15
2011
Lavrent’ev effect and the averaging of nonlinear variational problems. Zbl 0749.49022
Zhikov, V. V.
14
1991
On the solvability of the Navier-Stokes equations for a compressible non-Newtonian fluid. Zbl 1387.35509
Zhikov, V. V.; Pastukhova, S. E.
14
2009
On homogenization of networks and junctions. Zbl 1031.35018
Chechkin, Gregory A.; Jikov, Vasili V.; Lukkassen, Dag; Piatnitski, Andrey L.
13
2002
On the G-convergence of parabolic operators. Zbl 0467.35056
Zhikov, V. V.; Kozlov, S. M.; Oleĭnik, O. A.
13
1981
On the homogenization of degenerate elliptic equations. Zbl 1152.35044
Zhikov, V. V.; Pastukhova, S. E.; Tikhomirova, S. V.
13
2006
On the Hölder property of solutions of degenerate elliptic equations. Zbl 1090.35510
Alkhutov, Yu. A.; Zhikov, V. V.
12
2001
Density of smooth functions in weighted Sobolev spaces. Zbl 1303.46027
Zhikov, V. V.
12
2013
Homogenization of monotone operators under conditions of coercitivity and growth of variable order. Zbl 1237.35012
Zhikov, V. V.; Pastukhova, S. E.
11
2011
On a homogenization technique for variational problems. Zbl 0959.49016
Zhikov, V. V.
11
1999
Existence theorem for some pairs of coupled elliptic equations. Zbl 1180.35224
Zhikov, V. V.
11
2008
On Lavrent’ev’s effect. Zbl 0919.49010
Zhikov, V. V.
10
1995
On the homogenization of nonlinear variational problems in perforated domains. Zbl 0914.35014
Zhikov, Vasilii V.
10
1994
On the homogenization of elliptic operators with almost-periodic coefficients. Zbl 0568.35029
Olejnik, O. A.; Zhikov, V. V.
10
1982
On gaps in the spectrum of the operator of elasticity theory on a high contrast periodic structure. Zbl 1302.35362
Zhikov, V. V.; Pastukhova, S. E.
10
2013
Averaging of parabolic operators. Zbl 0531.35041
Zhikov, V. V.; Kozlov, S. M.; Olejnik, O. A.
9
1982
On the compensated compactness principle. Zbl 1211.35075
Zhikov, V. V.; Pastukhova, S. E.
9
2010
On density of smooth functions in weighted Sobolev spaces with variable exponents. Zbl 1354.46039
Zhikov, V. V.; Surnachev, M. D.
9
2016
On the Trotter–Kato theorem in a variable space. Zbl 1158.47027
Zhikov, V. V.; Pastukhova, S. E.
9
2007
Averaging in perforated random domains of general type. Zbl 0801.60058
Zhikov, V. V.
8
1993
A class of degenerate elliptic equations. Zbl 1205.35119
Alkhutov, Yu. A.; Zhikov, V. V.
8
2003
Asymptotic behavior and stabilization of the solutions of a second order parabolic equation with lower terms. Zbl 0557.35060
Zhikov, V. V.
8
1983
Estimates of the Nash-Aronson type for degenerating parabolic equations. Zbl 1277.35224
Zhikov, V. V.
8
2013
Diffusion in an incompressible random flow. Zbl 0902.35127
Zhikov, V. V.
7
1997
Gewisse Fragen der Zulässigkeit und Dichotomie. Das Mittelungsprinzip. Zbl 0357.34040
Zikov, V. V.
7
1976
On the weak convergence of fluxes to a flux. Zbl 1202.35094
Zhikov, V. V.
7
2010
Lemmas on compensated compactness in elliptic and parabolic equations. Zbl 1216.35045
Zhikov, V. V.; Pastukhova, S. E.
7
2010
Averaging of parabolic operators. Zbl 0576.35052
Zhikov, V. V.; Kozlov, S. M.; Olejnik, O. A.
7
1984
Averaging of parabolic operators with almost periodic coefficients. Zbl 0487.35050
Zhikov, V. V.; Kozlov, S. M.; Oleĭnik, O. A.
7
1982
Bloch principle for elliptic differential operators with periodic coefficients. Zbl 1351.35026
Zhikov, V. V.; Pastukhova, S. E.
7
2016
On the stabilization of solutions of parabolic equations. Zbl 0398.35048
Zikov, V. V.
7
1977
Homogenization estimates of operator type for an elliptic equation with quasiperiodic coefficients. Zbl 1327.35082
Pastukhova, S. E.; Zhikov, V. V.
7
2015
A note on Sobolev spaces. Zbl 1098.46028
Zhikov, V. V.
6
2003
Stabilization of the solution of the Cauchy problem for parabolic equations. Zbl 0593.35015
Denisov, V. N.; Zhikov, V. V.
6
1985
On existence and uniqueness classes for the Cauchy problem for parabolic equations of the \(p\)-Laplace type. Zbl 1267.35102
Surnachev, Mikhail D.; Zhikov, Vasily V.
6
2013
Introduction to the theory of two-scale convergence. Zbl 1328.46029
Zhikov, V. V.; Yosifian, G. A.
6
2014
Homogenization of nonlinear second-order elliptic equations in perforated domains. Zbl 0884.35008
Zhikov, V. V.; Rychago, M. E.
5
1997
Averaging of problems in the theory of elasticity on singular structures. Zbl 1090.35505
Zhikov, V. V.
5
2001
Homogenization of a Navier-Stokes-type system for electrorheological fluid. Zbl 1228.35032
Zhikov, V. V.
5
2011
Homogenization. In memory of Serguei Kozlov. Zbl 0924.00012
5
1999
Homogenization of elasticity problems on periodic lattices of critical thickness. Zbl 1146.35310
Zhikov, V. V.; Pastukhova, S. E.
5
2002
Galerkin approximations in problems with \(p\)-Laplacian. Zbl 1360.35061
Zhikov, V. V.; Yakubovich, D. A.
5
2016
The \( \Gamma\)-convergence of oscillating integrands with nonstandard coercivity and growth conditions. Zbl 1293.49031
Zhikov, V. V.; Pastukhova, S. E.
5
2014
On the theory of admissibility of pairs of function spaces. Zbl 0265.34073
Zikov, V. V.
4
1972
Estimates for the trace of the averaged matrix. Zbl 0636.35018
Zhikov, V. V.
4
1986
On the Korn inequalities on thin periodic frames. Zbl 1072.74056
Zhikov, V. V.; Pastukhova, S. E.
4
2004
Asymptotic problems connected with the heat equation in perforated domains. Zbl 0774.35028
Zhikov, V. V.
4
1992
Existence theorems and qualitative properties of solutions to parabolic equations with a variable order of nonlinearity. Zbl 1203.35146
Alkhutov, Yu. A.; Zhikov, V. V.
4
2010
G-convergence of elliptic operators. Zbl 0555.35034
Zhikov, V. V.
4
1983
Homogenization and two-scale convergence in the Sobolev space with an oscillating exponent. Zbl 1415.35030
Zhikov, V. V.; Pastukhova, S. E.
3
2019
Operator estimates in homogenization theory. Zbl 1354.35028
Zhikov, V. V.; Pastukhova, S. E.
73
2016
On density of smooth functions in weighted Sobolev spaces with variable exponents. Zbl 1354.46039
Zhikov, V. V.; Surnachev, M. D.
9
2016
Bloch principle for elliptic differential operators with periodic coefficients. Zbl 1351.35026
Zhikov, V. V.; Pastukhova, S. E.
7
2016
Galerkin approximations in problems with \(p\)-Laplacian. Zbl 1360.35061
Zhikov, V. V.; Yakubovich, D. A.
5
2016
On the convergence of Bloch eigenfunctions in homogenization problems. Zbl 1357.35242
Zhikov, V. V.; Pastukhova, S. E.
2
2016
On integral representation of \(\Gamma\)-limit functionals. Zbl 1362.49004
Zhikov, V. V.; Pastukhova, S. E.
1
2016
Homogenization estimates of operator type for an elliptic equation with quasiperiodic coefficients. Zbl 1327.35082
Pastukhova, S. E.; Zhikov, V. V.
7
2015
Existence and uniqueness theorems for solutions of parabolic equations with a variable nonlinearity exponent. Zbl 1295.35289
Alkhutov, Yu A.; Zhikov, V. V.
17
2014
Introduction to the theory of two-scale convergence. Zbl 1328.46029
Zhikov, V. V.; Yosifian, G. A.
6
2014
The \( \Gamma\)-convergence of oscillating integrands with nonstandard coercivity and growth conditions. Zbl 1293.49031
Zhikov, V. V.; Pastukhova, S. E.
5
2014
Gamma-convergence of integrands with nonstandard coercivity and growth conditions. Zbl 1301.49034
Zhikov, V. V.; Pastukhova, S. E.
4
2014
Uniform convexity and variational convergence. Zbl 1321.49026
Zhikov, Vasilii Vasil’evich; Pastukhova, Svetlana Evgenievna
1
2014
Density of smooth functions in weighted Sobolev spaces. Zbl 1303.46027
Zhikov, V. V.
12
2013
On gaps in the spectrum of the operator of elasticity theory on a high contrast periodic structure. Zbl 1302.35362
Zhikov, V. V.; Pastukhova, S. E.
10
2013
Estimates of the Nash-Aronson type for degenerating parabolic equations. Zbl 1277.35224
Zhikov, V. V.
8
2013
On existence and uniqueness classes for the Cauchy problem for parabolic equations of the \(p\)-Laplace type. Zbl 1267.35102
Surnachev, Mikhail D.; Zhikov, Vasily V.
6
2013
Stabilization of solutions to nonlinear parabolic equations of the \(p\)-Laplace type. Zbl 1330.35205
Surnachev, M. D.; Zhikov, V. V.
3
2013
Vladimir Alexandrovich Kondratiev. July 2, 1935–March 11, 2010. Zbl 1277.01013
Agranovich, 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 1303.35062
Zhikov, V. V.; Pastukhova, S. E.
3
2012
On existence and uniqueness classes for the Cauchy problem for the parabolic \(p\)-Laplace equation. Zbl 1269.35016
Zhikov, V. V.; Surnachev, M. D.
1
2012
On variational problems and nonlinear elliptic equations with nonstandard growth conditions. Zbl 1279.49005
Zhikov, V. V.
138
2011
Hölder continuity of solutions of parabolic equations with variable nonlinearity exponent. Zbl 1291.35110
Alkhutov, Yu. A.; Zhikov, V. V.
15
2011
Homogenization of monotone operators under conditions of coercitivity and growth of variable order. Zbl 1237.35012
Zhikov, V. V.; Pastukhova, S. E.
11
2011
Homogenization of a Navier-Stokes-type system for electrorheological fluid. Zbl 1228.35032
Zhikov, V. V.
5
2011
On the property of higher integrability for parabolic systems of variable order of nonlinearity. Zbl 1204.35060
Zhikov, V. V.; Pastukhova, S. E.
25
2010
Existence theorems for solutions of parabolic equations with variable order of nonlinearity. Zbl 1213.35262
Alkhutov, Yu. A.; Zhikov, V. V.
19
2010
On the compensated compactness principle. Zbl 1211.35075
Zhikov, V. V.; Pastukhova, S. E.
9
2010
On the weak convergence of fluxes to a flux. Zbl 1202.35094
Zhikov, V. V.
7
2010
Lemmas on compensated compactness in elliptic and parabolic equations. Zbl 1216.35045
Zhikov, V. V.; Pastukhova, S. E.
7
2010
Existence theorems and qualitative properties of solutions to parabolic equations with a variable order of nonlinearity. Zbl 1203.35146
Alkhutov, Yu. A.; Zhikov, V. V.
4
2010
Parabolic lemmas on compensated compactness and their applications. Zbl 1203.35148
Zhikov, V. V.; Pastukhova, S. E.
3
2010
Global solvability of Navier-Stokes equations for a nonhomogeneous non-Newtonian fluid. Zbl 1214.35048
Zhikov, V. V.; Pastukhova, S. E.
1
2010
On the technique for passing to the limit in nonlinear elliptic equations. Zbl 1271.35033
Zhikov, V. V.
29
2009
New approach to the solvability of generalized Navier-Stokes equations. Zbl 1271.35061
Zhikov, V. V.
18
2009
Parabolic equations with variable order of nonlinearity. Zbl 1199.35020
Altukhov, Yu. A.; Antontsev, S. V.; Zhikov, V. V.
17
2009
On the solvability of the Navier-Stokes equations for a compressible non-Newtonian fluid. Zbl 1387.35509
Zhikov, V. V.; Pastukhova, S. E.
14
2009
On the solvability of the Navier-Stokes equations for a nonhomogeneous non-Newtonian fluid. Zbl 1215.35123
Zhikov, V. V.; Pastukhova, S. E.
1
2009
Solvability of the three-dimensional thermistor problem. Zbl 1237.35058
Zhikov, V. V.
50
2008
Improved integrability of the gradients of solutions of elliptic equations with variable nonlinearity exponent. Zbl 1172.35024
Zhikov, V. V.; Pastukhova, S. E.
31
2008
Homogenization of degenerate elliptic equations. Zbl 1164.35009
Zhikov, V. V.; Pastukhova, S. E.
27
2008
On passage to the limit in nonlinear elliptic equations. Zbl 1184.35131
Zhikov, V. V.
17
2008
Existence theorem for some pairs of coupled elliptic equations. Zbl 1180.35224
Zhikov, V. V.
11
2008
Solvability of generalized Navier-Stokes equations. Zbl 1217.35139
Zhikov, V. V.
2
2008
On Gehring’s Lemma. Zbl 1172.35023
Zhikov, V. V.; Pastukhova, S. E.
2
2008
On the Trotter–Kato theorem in a variable space. Zbl 1158.47027
Zhikov, V. V.; Pastukhova, S. E.
9
2007
On operator estimates in nonsymmetric averaging problems. Zbl 1181.35020
Zhikov, V. V.; Tikhomirova, S. V.
4
2007
Estimates of homogenization for a parabolic equation with periodic coefficients. Zbl 1129.35012
Zhikov, V. V.; Pastukhova, S. E.
64
2006
Non-local homogenized limits for composite media with highly anisotropic periodic fibres. Zbl 1101.74024
Cherednichenko, K. D.; Smyshlyaev, V. P.; Zhikov, V. V.
37
2006
Homogenization of random singular structures and random measures. Zbl 1113.35021
Zhikov, V. V.; Pyatniskii, A. L.
36
2006
Some estimates from homogenization theory. Zbl 1155.35311
Zhikov, V. V.
34
2006
On the homogenization of degenerate elliptic equations. Zbl 1152.35044
Zhikov, V. V.; Pastukhova, S. E.; Tikhomirova, S. V.
13
2006
Estimates of Nash-Aronson type for a diffusion equation with asymmetric matrix and their applications to homogenization. Zbl 1160.35360
Zhikov, V. V.
4
2006
Derivation of the limit equations of elasticity theory on thin nets. Zbl 1109.74033
Zhikov, V. V.; Pastukhova, S. E.
3
2006
In memory of Boris Levitan [July 7, 1914 – April 4, 2006]. Zbl 1118.01308
Kostyuchenko, 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 1387.35037
Zhikov, V. V.; Pastukhova, S. E.
106
2005
Higher integrability for parabolic equations of \(p(x,t)\)-Laplacian type. Zbl 1122.35043
Antontsev, Stanislav; Zhikov, Vasilii
71
2005
On operator estimates in homogenization theory. Zbl 1130.35312
Zhikov, V. V.
66
2005
On gaps in the spectrum of some elliptic operators in divergent form with periodic coefficients. Zbl 1174.35458
Zhikov, V. V.
41
2005
Spectral method in homogenization theory. Zbl 1127.35311
Zhikov, V. V.
27
2005
Homogenization of monotone operators by the method of two-scale convergence. Zbl 1120.35010
Zhikov, V. V.; Rychago, M. E.; Shul’ga, S. B.
3
2005
Homogenized tensor on networks. Zbl 1138.74380
Zhikov, V. V.; Pastukhova, S. E.
2
2005
On the density of smooth functions in Sobolev-Orlicz spaces. Zbl 1086.46026
Zhikov, V. V.
93
2004
Remarks on the uniqueness of a solution of the Dirichlet problem for second-order elliptic equations with lower-order terms. Zbl 1147.35302
Zhikov, V. V.
23
2004
On the Korn inequalities on thin periodic frames. Zbl 1072.74056
Zhikov, V. V.; Pastukhova, S. E.
4
2004
Homogenization of some problems with gradient constraints. Zbl 1077.35014
Cardone, G.; Corbo Esposito, A.; Yosifian, G. A.; Zhikov, V. V.
3
2004
On two-scale convergence. Zbl 1284.35054
Zhikov, V. V.
41
2003
Averaging of problems in the theory of elasticity on periodic grids of critical thickness. Zbl 1077.35023
Zhikov, V. V.; Pastukhova, S. E.
30
2003
A class of degenerate elliptic equations. Zbl 1205.35119
Alkhutov, Yu. A.; Zhikov, V. V.
8
2003
A note on Sobolev spaces. Zbl 1098.46028
Zhikov, V. V.
6
2003
Korn inequalities for thin periodic structures. Zbl 1246.35031
Zhikov, Vasilii V.; Pastukhova, Svetlana E.
3
2003
On the Hölder property of one elliptic equation. Zbl 1137.35383
Alkhutov, Yu. A.; Zhikov, V. V.
2
2003
Two-scale convergence and spectral questions of the homogenization theory. Zbl 1514.35024
Zhikov, V. V.
2
2003
Homogenization on periodic lattices. Zbl 1124.35306
Zhikov, V. V.; Pastukhova, S. E.
2
2003
Homogenization of elasticity problems on singular structures. Zbl 1043.35031
Zhikov, V. V.
69
2002
On homogenization of networks and junctions. Zbl 1031.35018
Chechkin, Gregory A.; Jikov, Vasili V.; Lukkassen, Dag; Piatnitski, Andrey L.
13
2002
Homogenization of elasticity problems on periodic lattices of critical thickness. Zbl 1146.35310
Zhikov, V. V.; Pastukhova, S. E.
5
2002
To the problem of passage to the limit in divergent nonuniformly elliptic equations. Zbl 1085.35054
Zhikov, V. V.
16
2001
On the Hölder property of solutions of degenerate elliptic equations. Zbl 1090.35510
Alkhutov, Yu. A.; Zhikov, V. V.
12
2001
Averaging of problems in the theory of elasticity on singular structures. Zbl 1090.35505
Zhikov, V. V.
5
2001
On an extension of the method of two-scale convergence and its applications. Zbl 0969.35048
Zhikov, V. V.
146
2000
The fundamental theorem of arithmetic. Zbl 0951.00005
Zhikov, V. V.
1
2000
On a homogenization technique for variational problems. Zbl 0959.49016
Zhikov, V. V.
11
1999
Homogenization. In memory of Serguei Kozlov. Zbl 0924.00012
5
1999
Homogenization for Heisenberg operator with Neumann boundary conditions. Zbl 0933.35021
Biroli, M.; Tchou, N. A.; Zhikov, V. V.
4
1999
Multiscaled homogenization. Zbl 1041.35010
Jikov, V. V.; Kozlov, S. M.
1
1999
Weighted Sobolev spaces. Zbl 0919.46026
Zhikov, V. V.
83
1998
On some variational problems. Zbl 0917.49006
Zhikov, Vasilij V.
295
1997
Meyers type estimates for the solution of a nonlinear Stokes system. Zbl 0911.35089
Zhikov, V. V.
71
1997
Diffusion in an incompressible random flow. Zbl 0902.35127
Zhikov, V. V.
7
1997
Homogenization of nonlinear second-order elliptic equations in perforated domains. Zbl 0884.35008
Zhikov, V. V.; Rychago, M. E.
5
1997
Connectedness and homogenization. Examples of fractal conductivity. Zbl 0874.35011
Zhikov, V. V.
27
1996
On Lavrentiev’s phenomenon. Zbl 0910.49020
Zhikov, Vasiliĭ V.
366
1995
On Lavrent’ev’s effect. Zbl 0919.49010
Zhikov, V. V.
10
1995
Connectedness and homogenization. Examples of the fractal conductivity. Zbl 0900.35038
Zhikov, V. V.
1
1995
Homogenization of differential operators and integral functionals. Transl. from the Russian by G. A. Yosifian. Zbl 0838.35001
Zhikov, V. V.; Kozlov, S. M.; Olejnik, O. A.
743
1994
On the homogenization of nonlinear variational problems in perforated domains. Zbl 0914.35014
Zhikov, Vasilii V.
10
1994
On the homogenization of the system of Stokes equations in a porous medium. Zbl 0835.35112
Zhikov, V. V.
3
1994
Homogenization of differential operators. (Усреднение дифференциальных операторов.) Zbl 0801.35001
Jikov, V. V.; Kozlov, S. M.; Oleĭnik, O. A.
263
1993
Lavrentiev phenomenon and homogenization for some variational problems. Zbl 0783.35005
Zhikov, Vasily
50
1993
...and 66 more Documents
all top 5

Cited by 2,829 Authors

74 Papageorgiou, Nikolaos S.
72 Pastukhova, Svetlana Evgenievna
67 Rădulescu, Vicenţiu D.
64 Zhikov, Vasiliĭ Vasil’evich
45 Zhang, Qihu
44 Suslina, Tat’yana Aleksandrovna
37 Piatnitski, Andrey L.
36 Ge, Bin
36 Winkert, Patrick
34 Alkhutov, Yuriy Alexandrovich
26 Byun, Sun-Sig
26 Fan, Xianling
25 Antontsev, Stanislav Nikolaevich
25 Chechkin, Gregory Aleksandrovich
25 Cherednichenko, Kirill D.
24 Cheban, David Nikolai
23 Mingione, Giuseppe
23 Surnachëv, Mikhaĭl Dmitrievich
22 Borisov, Denis Ivanovich
22 Nazarov, Sergeĭ Aleksandrovich
22 Repovš, Dušan D.
22 Zeng, Shengda
21 Nguyen Van Minh
21 Ok, Jihoon
20 Baskakov, Anatoliĭ Grigor’evich
20 Zhan, Huashui
19 Cui, Junzhi
18 Abdulle, Assyr
18 Dai, Guowei
17 Afrouzi, Ghasem Alizadeh
17 Cao, Liqun
17 Gasiński, Leszek
17 Kogut, Peter I.
17 Le Bris, Claude
17 Legoll, Frédéric
17 Mihăilescu, Mihai
17 Skrypnik, Igor Igorievich
17 Slyusarchuk, Vasyl Yukhimovich
16 Barreira, Luis Manuel
16 Cardone, Giuseppe
16 Harjulehto, Petteri
16 Rautian, Nadegda Aleksandrovna
16 Valls Anglés, Cláudia
16 Vetro, Calogero
16 Vetro, Francesca
16 Vlasov, Viktor Valentinovich
16 Woukeng, Jean Louis
16 Zohdi, Tarek I.
15 De Filippis, Cristiana
15 Galewski, Marek
15 Hästö, Peter A.
15 Kostić, Marko
14 Allalou, Chakir
14 Gloria, Antoine
14 Shumilova, Vladlena Valerievna
13 Chepyzhov, Vladimir V.
13 Duerinckx, Mitia
13 Ouaro, Stanislas
13 Schweizer, Ben
13 Yuan, Rong
12 Allaoui, Mostafa
12 Boureanu, Maria-Magdalena
12 Heidarkhani, Shapour
12 Kefi, Khaled
12 Kovalevsky, Alexander Albertovich
12 Shmarev, Sergey I.
12 Zhang, Chao
11 Chlebicka, Iwona
11 El Ouaarabi, Mohamed
11 Kim, Yunho
11 Liu, Xiaopin
11 Mel’nyk, Taras A.
11 N’Guérékata, Gaston Mandata
11 Niu, Weisheng
11 Qiu, Zhimei
11 Ragusa, Maria Alessandra
11 Tachikawa, Atsushi
11 Tsouli, Najib
10 Allaire, Grégoire
10 Basit, Bolis
10 Berdichevskiĭ, Viktor L’vovich
10 Braides, Andrea
10 Cooper, Shane
10 Dorodnyi, M. A.
10 Liu, Zhenhai
10 Ourraoui, Anass
10 Pankov, Alexander A.
10 Pankratov, Leonid S.
10 Pucci, Patrizia
10 Sakbaev, Vsevolod Zhanovich
10 Shamaev, Alexei S.
10 Tarallo, Massimo
10 Yeh, Li-Ming
9 Arora, Rakesh
9 Bai, Yunru
9 Eleuteri, Michela
9 Fiscella, Alessio
9 Fu, Yongqiang
9 Heida, Martin
9 Khrabustovskyi, Andrii
...and 2,729 more Authors
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Cited in 440 Serials

181 Journal of Mathematical Analysis and Applications
166 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
156 Journal of Mathematical Sciences (New York)
140 Journal of Differential Equations
67 Mathematical Notes
58 Applicable Analysis
55 Calculus of Variations and Partial Differential Equations
47 Archive for Rational Mechanics and Analysis
43 Boundary Value Problems
42 Multiscale Modeling & Simulation
39 St. Petersburg Mathematical Journal
36 Annali di Matematica Pura ed Applicata. Serie Quarta
36 Journal of Functional Analysis
36 SIAM Journal on Mathematical Analysis
36 Differential Equations
34 Ukrainian Mathematical Journal
34 Nonlinear Analysis. Real World Applications
33 Computer Methods in Applied Mechanics and Engineering
32 Complex Variables and Elliptic Equations
31 Functional Analysis and its Applications
31 Journal de Mathématiques Pures et Appliquées. Neuvième Série
30 Doklady Mathematics
29 Computers & Mathematics with Applications
29 Journal of Computational and Applied Mathematics
28 Mathematical Methods in the Applied Sciences
28 Mediterranean Journal of Mathematics
27 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
27 Advances in Nonlinear Analysis
25 Journal of Computational Physics
24 ZAMP. Zeitschrift für angewandte Mathematik und Physik
23 Comptes Rendus. Mathématique. Académie des Sciences, Paris
22 Applied Mathematics and Computation
22 Proceedings of the Steklov Institute of Mathematics
22 Discrete and Continuous Dynamical Systems. Series S
21 Journal of Mathematical Physics
21 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
20 International Journal of Engineering Science
19 Proceedings of the American Mathematical Society
19 Siberian Mathematical Journal
18 Asymptotic Analysis
18 Journal of Elliptic and Parabolic Equations
17 NoDEA. Nonlinear Differential Equations and Applications
17 Communications on Pure and Applied Analysis
16 Abstract and Applied Analysis
16 Discrete and Continuous Dynamical Systems. Series B
15 Mathematische Nachrichten
15 The Journal of Geometric Analysis
15 Networks and Heterogeneous Media
14 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
14 Journal of Dynamics and Differential Equations
14 Sbornik: Mathematics
14 Discrete and Continuous Dynamical Systems
14 Boletim da Sociedade Paranaense de Matemática. Terceira Série
13 Journal of the Mechanics and Physics of Solids
13 Journal of Difference Equations and Applications
12 Applied Mathematics Letters
12 Communications in Partial Differential Equations
12 Russian Journal of Mathematical Physics
12 Journal of Inequalities and Applications
12 Analysis and Mathematical Physics
11 Communications in Mathematical Physics
11 Manuscripta Mathematica
11 Stochastic Processes and their Applications
11 Russian Mathematics
11 Potential Analysis
11 Electronic Journal of Differential Equations (EJDE)
11 Opuscula Mathematica
11 Advances in Difference Equations
11 Journal of Function Spaces
10 Nonlinearity
10 Rocky Mountain Journal of Mathematics
10 Acta Applicandae Mathematicae
10 Probability Theory and Related Fields
10 Journal of Elasticity
10 Revista Matemática Complutense
10 Nonlinear Analysis. Theory, Methods & Applications
9 Journal of Applied Mathematics and Mechanics
9 Applied Mathematics and Optimization
9 SIAM Journal on Numerical Analysis
9 Transactions of the American Mathematical Society
9 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
9 Qualitative Theory of Dynamical Systems
9 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
9 Advances in Calculus of Variations
8 Integral Equations and Operator Theory
8 Rendiconti del Circolo Matemàtico di Palermo. Serie II
8 Transactions of the Moscow Mathematical Society
8 Mathematical and Computer Modelling
8 Applications of Mathematics
8 Mathematics and Mechanics of Solids
8 Acta Mathematica Sinica. English Series
8 Communications in Contemporary Mathematics
7 Journal d’Analyse Mathématique
7 Journal of Optimization Theory and Applications
7 Mathematische Annalen
7 Results in Mathematics
7 Semigroup Forum
7 Zeitschrift für Analysis und ihre Anwendungen
7 Applied Numerical Mathematics
7 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
...and 340 more Serials
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Cited in 55 Fields

2,244 Partial differential equations (35-XX)
385 Mechanics of deformable solids (74-XX)
362 Ordinary differential equations (34-XX)
362 Operator theory (47-XX)
300 Calculus of variations and optimal control; optimization (49-XX)
287 Functional analysis (46-XX)
226 Fluid mechanics (76-XX)
204 Numerical analysis (65-XX)
180 Probability theory and stochastic processes (60-XX)
117 Harmonic analysis on Euclidean spaces (42-XX)
115 Dynamical systems and ergodic theory (37-XX)
101 Global analysis, analysis on manifolds (58-XX)
80 Optics, electromagnetic theory (78-XX)
69 Abstract harmonic analysis (43-XX)
64 Difference and functional equations (39-XX)
64 Integral equations (45-XX)
59 Statistical mechanics, structure of matter (82-XX)
49 Real functions (26-XX)
38 Classical thermodynamics, heat transfer (80-XX)
36 Systems theory; control (93-XX)
35 Biology and other natural sciences (92-XX)
33 Potential theory (31-XX)
27 Quantum theory (81-XX)
18 Functions of a complex variable (30-XX)
15 Measure and integration (28-XX)
13 Mechanics of particles and systems (70-XX)
12 Linear and multilinear algebra; matrix theory (15-XX)
12 General topology (54-XX)
9 Integral transforms, operational calculus (44-XX)
9 Geophysics (86-XX)
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8 Computer science (68-XX)
7 Combinatorics (05-XX)
6 General and overarching topics; collections (00-XX)
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5 Number theory (11-XX)
5 Topological groups, Lie groups (22-XX)
5 Statistics (62-XX)
5 Information and communication theory, circuits (94-XX)
4 Algebraic geometry (14-XX)
4 Relativity and gravitational theory (83-XX)
3 History and biography (01-XX)
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3 Operations research, mathematical programming (90-XX)
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2 Sequences, series, summability (40-XX)
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2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Mathematical logic and foundations (03-XX)
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