Vasilii Vasil'evich Zhikov

Vasilii Vasil'evich Zhikov's AcademicInfluence.com Rankings

Mathematics

#7557

World Rank

#10254

Historical Rank

Measure Theory

#2285

World Rank

#2737

Historical Rank

mathematics Degrees

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Mathematics

Vasilii Vasil'evich Zhikov's Degrees

PhD Mathematics Moscow State University
Doctorate Mathematics Moscow State University

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Vasilii Vasil'evich Zhikov's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Homogenization of Differential Operators and Integral Functionals (1994) (2742)
AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY (1987) (1149)
Almost Periodic Functions and Differential Equations (1983) (651)
AVERAGING AND G-CONVERGENCE OF DIFFERENTIAL OPERATORS (1979) (306)
On an extension of the method of two-scale convergence and its applications (2000) (241)
On variational problems and nonlinear elliptic equations with nonstandard growth conditions (2011) (164)
Operator estimates in homogenization theory (2016) (153)
Density of Smooth Functions in Sobolev-Orlicz Spaces (2006) (134)
G-convergence of parabolic operators (1981) (124)
Higher integrability for parabolic equations of $p(x,t)$-Laplacian type (2005) (106)
Homogenization of elasticity problems on singular structures (2002) (105)
Estimates of homogenization for a parabolic equation with periodic coefficients (2006) (88)
Homogenization of random singular structures and random measures (2006) (88)
On spectrum gaps of some divergent elliptic operators with periodic coefficients (2005) (86)
ON PASSAGE TO THE LIMIT IN NONLINEAR VARIATIONAL PROBLEMS (1993) (77)
Homogenization of degenerate elliptic equations (2008) (68)
QUESTIONS OF CONVERGENCE, DUALITY, AND AVERAGING FOR FUNCTIONALS OF THE CALCULUS OF VARIATIONS (1984) (67)
Some estimates from homogenization theory (2006) (67)
Solvability of the three-dimensional thermistor problem (2008) (67)
Weighted Sobolev spaces (1998) (65)
Connectedness and homogenization. Examples of fractal conductivity (1996) (64)
On Two-Scale Convergence (2004) (52)
Stabilization of the solution of the Cauchy problem for parabolic equations (1985) (50)
A Note on Sobolev Spaces (2005) (46)
ALMOST PERIODIC AND ALMOST AUTOMORPHIC SOLUTIONS OF LINEAR DIFFERENTIAL/DIFFERENCE EQUATIONS WITHOUT FAVARD’S SEPARATION CONDITION. I (2008) (43)
Remarks on the Uniqueness of a Solution of the Dirichlet Problem for Second-Order Elliptic Equations with Lower-Order Terms (2004) (41)
On the technique for passing to the limit in nonlinear elliptic equations (2009) (40)
Homogenization for elasticity problems on periodic networks of critical thickness (2003) (39)
On the property of higher integrability for parabolic systems of variable order of nonlinearity (2010) (38)
Estimates for the averaged matrix and the averaged tensor (1991) (33)
Proof of the favard theorem on the existence of almost-periodic solution for an arbitrary Banach space (1978) (27)
On the homogenization technique for variational problems (1999) (26)
Improved integrability of the gradients of solutions of elliptic equations with variable nonlinearity exponent (2008) (26)
Existence and uniqueness theorems for solutions of parabolic equations with a variable nonlinearity exponent (2014) (24)
Averaging of singularly perturbed elliptic operators (1983) (23)
To the Problem of Passage to the Limit in Divergent Nonuniformly Elliptic Equations (2001) (22)
AVERAGING OF PARABOLIC OPERATORS WITH ALMOST PERIODIC COEFFICIENTS (1983) (20)
Hölder continuity of solutions of parabolic equations with variable nonlinearity exponent (2011) (20)
ASYMPTOTIC PROBLEMS CONNECTED WITH THE HEAT EQUATION IN PERFORATED DOMAINS (1992) (20)
New approach to the solvability of generalized Navier-Stokes equations (2009) (19)
Density of smooth functions in weighted Sobolev spaces (2013) (18)
On the homogenization of elliptic operators with almost-periodic coefficients (1982) (17)
On passage to the limit in nonlinear elliptic equations (2008) (17)
G-convergence of elliptic operators (1983) (16)
Some estimates for nonlinear homogenization (2005) (15)
On gaps in the spectrum of the operator of elasticity theory on a high contrast periodic structure (2013) (15)
Averaging in perforated random domains of general type (1993) (15)
Lemmas on compensated compactness in elliptic and parabolic equations (2010) (15)
Existence theorem for some pairs of coupled elliptic equations (2008) (14)
Bloch principle for elliptic differential operators with periodic coefficients (2016) (14)
Diffusion in an incompressible random flow (1997) (13)
Estimates for the trace of an averaged tensor (1991) (12)
Estimates of the Nash–Aronson type for degenerating parabolic equations (2013) (11)
On the weak convergence of fluxes to a flux (2010) (10)
Homogenization of non-linear second-order elliptic equations in perforated domains (1997) (10)
Derivation of the limit equations of elasticity theory on thin nets (2006) (9)
Effective conductivity of random homogeneous sets (1989) (9)
Homogenization of monotone operators under conditions of coercitivity and growth of variable order (2011) (9)
Existence theorems and qualitative properties of solutions to parabolic equations with a variable order of nonlinearity (2010) (9)
Homogenization of Monotone Operators by the Method of Two-Scale Convergence (2005) (8)
On the Korn Inequalities on Thin Periodic Frames (2004) (8)
Gamma-Convergence of Integrands with Nonstandard Coercivity and Growth Conditions (2014) (8)
Estimates for the trace of the averaged matrix (1986) (8)
On operator estimates in nonsymmetric averaging problems (2007) (8)
Solvability of generalized Navier-Stokes equations (2008) (7)
A Class of Degenerate Elliptic Equations (2004) (7)
Homogenization estimates of operator type for an elliptic equation with quasiperiodic coefficients (2015) (7)
On the solvability of the Navier-Stokes equations for a compressible b non-Newtonian fluid (2009) (6)
Introduction to the Theory of Two-Scale Convergence (2014) (6)
The -convergence of oscillating integrands with nonstandard coercivity and growth conditions (2014) (6)
The existence of Levitan almost-periodic solutions of linear systems (second complement to Favard's classical theory) (1971) (5)
Galerkin Approximations in Problems with p-Laplacian (2016) (5)
Homogenization on periodic lattices (2003) (5)
The invertibility of the operator d/dt + A(t) in the space of bounded functions (1976) (5)
Two-Scale Convergence and Spectral Questions of the Homogenization Theory (2003) (5)
Conditions for the negative spectrum of the Schrodinger equation operator to be discrete and finite (1967) (4)
Estimates of Nash-Aronson type for a diffusion equation with asymmetric matrix and their applications to homogenization (2006) (4)
Korn's inequalities for thin periodic structures (2003) (4)
On a problem of Bochner and von Neumann (1968) (3)
On the Navier-Stokes equations: Existence theorems and energy equalities (2012) (3)
Remarks on the problem of residual diffusion (1989) (3)
Homogenization and two-scale convergence in the Sobolev space with an oscillating exponent (2019) (3)
Uniform convexity and variational convergence (2014) (2)
On the solvability of the Navier-Stokes equations for a nonhomogeneous non-Newtonian fluid (2009) (2)
Addition to the classical theory of Favard (1970) (2)
The leading term of the spectral asymptotics for the Kohn-Laplace operator in a bounded domain (1998) (2)
On existence and uniqueness classes for the Cauchy problem for the parabolic p-Laplace equation (2012) (2)
On the Holder Property of One Elliptic Equation (2005) (2)
Homogenization of elasticity problems on periodic rod frames of critical thickness (2002) (2)
On existence and uniqueness classes for the Cauchy problem for the parabolic p-Laplace equation (2012) (1)
Some new results in abstract Favar theory (1975) (1)
In memory of Boris Levitan (2006) (1)
Sergei Mikhailovich Kozlov (obituary) (1996) (1)
On Integral Representation of Γ-Limit Functionals (2016) (1)
Korn inequalities on thin periodic structures (2009) (1)
V. V. Zhikov (1940–2017) (2018) (0)
Homogenization estimates of operator type for an elliptic equation with quasiperiodic coefficients (2015) (0)
THE BASIC THEOREM OF ARITHMETIC (2000) (0)
On limit equations of nonlinear elasticity theory on thin networks (2006) (0)
ALMOST PERIODIC TYPE FUNCTIONS AND DENSITIES (2021) (0)
Diffusion in an incompressible random flow. Nash-Aronson-type estimates for transition probabilities and a central limit theorem (2006) (0)
The Navier-Stokes equations: Existence theorems and energy equalities (2011) (0)
Bloch principle for elliptic differential operators with periodic coefficients (2016) (0)
On Integral Representation of Γ-Limit Functionals (2016) (0)
Threshold of conductivity for a random cubic structure (1992) (0)
Estimates of the Nash–Aronson type for degenerating parabolic equations (2013) (0)
Solvability of linear equations in the Besicovitch and Bohr classes of almost periodic functions (1975) (0)
In memory of Boris Moiseevich Levitan (1914–2004) (2014) (0)
E.Ya.Khruslov. On the occasion of his 70th birthday (2008) (0)
Large Time Asymptotics of Fundamental Solution for the Diﬀusion Equation in Periodic Medium and Its Application to Estimates in the Theory of Averaging (2017) (0)
On the homogenization of noncoercive variational problems (1997) (0)
Gamma-Convergence of Integrands with Nonstandard Coercivity and Growth Conditions (2014) (0)
Introduction to the Theory of Two-Scale Convergence (2014) (0)
On the convergence of bloch eigenfunctions in homogenization problems (2016) (0)
Density of smooth functions in weighted Sobolev spaces (2013) (0)
Large-Time Asymptotics of Fundamental Solutions for Diffusion Equations in Periodic Media and its Application to Averaging-Theory Estimates (2020) (0)
Stabilization of solutions to nonlinear parabolic equations of the p-Laplace type (2013) (0)
Nash-Aronson estimates for solutions to some parabolic equations: Application to asymptotic diffusion problems (2007) (0)
Existence theorem for some pairs of coupled elliptic equations (2008) (0)
On the Navier-Stokes equations: Existence theorems and energy equalities (2012) (0)
Remarks on compactness conditions related to the work of M. I. Kadets on integration of abstract almost-periodic functions (1971) (0)
Homogenization of Navier-Stokes systems for electrorheological fluids (2010) (0)
Spectrum of the operator of transverse displacements on a periodic model grid (2013) (0)
Hölder continuity of solutions to a degenerate elliptic equation in the presence of the Lavrentiev phenomenon (2014) (0)
Galerkin Approximations in Problems with p-Laplacian (2016) (0)
On gaps in the spectrum of the operator of elasticity theory on a high contrast periodic structure (2012) (0)
Spectrum of the operator of transverse displacements on a periodic model grid (2013) (0)

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Vasilii Vasil'evich Zhikov's Academic­Influence.com Rankings

Vasilii Vasil'evich Zhikov's Degrees

Why Is Vasilii Vasil'evich Zhikov Influential?

Vasilii Vasil'evich Zhikov's Published Works

Published Works

Vasilii Vasil'evich Zhikov's AcademicInfluence.com Rankings