To the problem of passage to the limit in divergent nonuniformly elliptic equations

DOI10.1023/A:1004168415999zbMath1085.35054OpenAlexW68017650MaRDI QIDQ5944769

Vasilii V. Jikov

Publication date: 13 November 2003

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1004168415999

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Variational methods for second-order elliptic equations (35J20)

Related Items

On dynamics of quantum states generated by the Cauchy problem for the Schrödinger equation with degeneration on the half-line ⋮ Degeneration and regularization of the operator in the Cauchy problem for the Schrödinger equation ⋮ Higher integrability of the gradient in degenerate elliptic equations ⋮ Quantitative nonlinear homogenization: control of oscillations ⋮ Lemmas on compensated compactness in elliptic and parabolic equations ⋮ On the properties of ambiguity and irreversibility of dynamical maps of the initial data space of Cauchy problem ⋮ Gradient blow-up of solutions to the Cauchy problem for the Schrödinger equation ⋮ Weak convergence of diffusion processes on Wiener space ⋮ Approximation and variational methods for regularization of ill-posed problems ⋮ On full two-scale expansion of the solutions of nonlinear periodic rapidly oscillating problems and higher-order homogenised variational problems ⋮ Spectral aspects of regularization of the Cauchy problem for a degenerate equation ⋮ The geometric structure of Chebyshev sets in \(\ell^\infty(n)\) ⋮ On monotonicity of some functionals under rearrangements ⋮ On the Hölder property of one elliptic equation ⋮ Homogenization of problems of elasticity theory on periodic box and rod frames of critical thickness ⋮ Notion of blowup of the solution set of differential equations and averaging of random semigroups

This page was built for publication: To the problem of passage to the limit in divergent nonuniformly elliptic equations