Unilateral problems for thep-Laplace operator in perforated media involving large parameters

DOI10.1051/cocv/2017026zbMath1409.35023OpenAlexW2603471816MaRDI QIDQ4646816

A. V. Podol'skii, Delfina Gómez, Tatiana A. Shaposhnikova, M. Eugenia Pérez, Miguel Sousa Lobo

Publication date: 21 December 2018

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/cocv/2017026

zbMATH Keywords

variational inequalitiesnonlinear homogenizationperforated mediacritical relations for parameter

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) 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)

Related Items (11)

Homogenization in perforated domains: a Stokes grill and an adsorption process ⋮ On Homogenization of Nonlinear Robin Type Boundary Conditions for the n-Laplacian in n-Dimensional Perforated Domains ⋮ Characterizing the strange term in critical size homogenization: quasilinear equations with a general microscopic boundary condition ⋮ On \(p\)-Laplacian reaction-diffusion problems with dynamical boundary conditions in perforated media ⋮ Unexpected regionally negative solutions of the homogenization of Poisson equation with dynamic unilateral boundary conditions: critical symmetric particles ⋮ Homogenization of variational inequalities for the \(p\)-Laplace operator in perforated media along manifolds ⋮ Puiseux asymptotic expansions for convection-dominated transport problems in thin graph-like networks: Strong boundary interactions ⋮ Homogenization of a boundary-value problem in a domain perforated by cavities of arbitrary shape with a general nonlinear boundary condition on their boundaries: the case of critical values of the parameters ⋮ Homogenization of a net of periodic critically scaled boundary obstacles related to reverse osmosis ``nano-composite membranes ⋮ Homogenization of a boundary value problem for the \(n\)-Laplace operator on a \(n\)-dimensional domain with rapidly alternating boundary condition type: the critical case ⋮ Homogenization of a nonlinear monotone problem with a big nonlinear Signorini boundary interaction in a domain with highly rough boundary

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