Homogenization of a variational inequality for the \(p\)-Laplacian in perforated media with nonlinear restrictions for the flux on the boundary of isoperimetric perforations: \(p\) equal to the dimension of the space

DOI10.1134/S1064562416020046zbMath1343.49014MaRDI QIDQ2631194

Miguel Sousa Lobo, María-Eglée Pérez, Delfina Gómez, A. V. Podol'skii, Tatiana A. Shaposhnikova

Publication date: 29 July 2016

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

zbMATH Keywords

variational inequalityhomogenization\(p\)-Laplacianperforated media

Mathematics Subject Classification ID

Variational inequalities (49J40) Homogenization in equilibrium problems of solid mechanics (74Q05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (3)

On Homogenization of Nonlinear Robin Type Boundary Conditions for the n-Laplacian in n-Dimensional Perforated Domains ⋮ 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

• Unnamed Item
• Unnamed Item
• Homogenization problem in a domain perforated by tiny isoperimetric holes with nonlinear Robin type boundary conditions
• 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 for the \(p\)-Laplacian in an \(n\)-dimensional domain perforated by very thin cavities with a nonlinear boundary condition on their boundary in the case \(p\) = \(n\)
• On homogenization problems for the Laplace operator in partially perforated domains with Neumann's condition on the boundary of cavities
• On critical parameters in homogenization of perforated domains by thin tubes with nonlinear flux and related spectral problems
• Random Homogenization ofp-Laplacian with Obstacles in Perforated Domain

This page was built for publication: Homogenization of a variational inequality for the \(p\)-Laplacian in perforated media with nonlinear restrictions for the flux on the boundary of isoperimetric perforations: \(p\) equal to the dimension of the space