Homogenization for the \(p\)-Laplace operator in perforated media with nonlinear restrictions on the boundary of the perforations: A critical case

DOI10.1134/S1064562415040110zbMath1332.35026OpenAlexW2181032389MaRDI QIDQ892721

N. E. Zubov

Publication date: 12 November 2015

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562415040110

zbMATH Keywords

Signorini conditionscomplementarity boundary conditions

Mathematics Subject Classification ID

Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Unilateral problems for nonlinear elliptic equations and variational inequalities with nonlinear elliptic operators (35J87) Quasilinear elliptic equations with (p)-Laplacian (35J92) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)

Related Items (4)

Homogenization of variational inequalities of Signorini type for the \(p\)-Laplacian in perforated domains when \(p\in(1, 2)\) ⋮ On \(p\)-Laplacian reaction-diffusion problems with dynamical boundary conditions in perforated media ⋮ Unilateral problems for thep-Laplace operator in perforated media involving large parameters ⋮ On the asymptotic limit of the effectiveness of reaction-diffusion equations in periodically structured media

Cites Work

• Homogenization for the \(p\)-Laplace operator and nonlinear Robin boundary conditions in perforated media along \((n - 1)\)-dimensional manifolds
• Homogenization of boundary value problems in perforated domains with the third boundary condition and the resulting change in the character of the nonlinearity in the problem
• Homogenization limit for the boundary value problem with the \(p\)-Laplace operator and a nonlinear third boundary condition on the boundary of the holes in a perforated domain
• Scale limit of a variational inequality modeling diffusive flux in a domain with small holes and strong adsorption in case of a critical scaling
• Homogenizaton of a nonhomogeneous Signorini problem for the Poisson equation in a periodically perforated domain
• Homogenization of a variational inequality for the Laplace operator with nonlinear restriction for the flux on the interior boundary of a perforated domain
• An extension theorem from connected sets, and homogenization in general periodic domains
• Averaging of variational inequalities for the Laplacian with nonlinear restrictions along manifolds
• Random Homogenization ofp-Laplacian with Obstacles in Perforated Domain
• Homogenization of variational inequalities for obstacle problems
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