Homogenization of monotone operators under conditions of coercitivity and growth of variable order

DOI10.1134/S0001434611070078zbMath1237.35012OpenAlexW2047314802MaRDI QIDQ764012

S. E. Pastukhova, Vasilii V. Jikov

Publication date: 13 March 2012

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434611070078

zbMATH Keywords

Dirichlet boundary-value problemcompensated compactnessSobolev-Orlicz spacecoercitivity conditionhomogenization of monotone operators

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (11)

Existence and regularity of solutions for degenerate elliptic equations with variable growth ⋮ Homogenization of multivalued monotone operators with variable growth exponent ⋮ Homogenization of nonlinear elliptic systems in nonreflexive Musielak–Orlicz spaces ⋮ Corrector problem in the deterministic homogenization of nonlinear elliptic equations ⋮ Multivalued elliptic operators with nonstandard growth ⋮ Existence and homogenization of nonlinear elliptic systems in nonreflexive spaces ⋮ Homogenization of obstacle problems in Orlicz-Sobolev spaces ⋮ Elliptic operators with nonstandard growth condition: Some results and open problems ⋮ Homogenization and two-scale convergence in the Sobolev space with an oscillating exponent ⋮ Reiterated periodic homogenization of integral functionals with convex and nonstandard growth integrands ⋮ Uniform convexity and variational convergence

Cites Work

• On the compensated compactness principle
• Lemmas on compensated compactness in elliptic and parabolic equations
• Solvability of the three-dimensional thermistor problem
• On Lavrentiev's phenomenon
• On Lavrent'ev's effect
• Homogenization of a Navier–Stokes-type system for electrorheological fluid
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• Unnamed Item

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