Homogenization of Dirichlet pseudomonotone problems with renormalized solutions in perforated domains
type: Item
instance of: scholarly article
title: Homogenization of Dirichlet pseudomonotone problems with renormalized solutions in perforated domains
zbMATH Open document ID: 0957.35016
DOI: 10.1016/S0021-7824(00)00151-3
author: Juan Casado-Díaz
published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série
publication date: 2000-10-29T00:00:00Z
review text: The present paper is devoted to study the asymptotic behaviour of the solutions of a nonlinear pseudomonotone Dirichlet problem in a sequence of arbitrary varying domains. Our results generalize the corresponding ones for monotone operators. The function \(a(x,u,\triangledown u)\) which appears in the definition of the operator is assumed to have an arbitrary growth in \(u\). Thus, we consider renormalized solutions, which are natural for this type of problems.
reviewed by: Dmitry V. Larin
Mathematics Subject Classification ID: 35B27
Mathematics Subject Classification ID: 35J65
zbMATH DE Number: 1522077
zbMATH Keywords: sequence of arbitrary varying domains
zbMATH Keywords: nonlinear pseudomonotone Dirichlet problem
zbMATH Keywords: arbitrary growth in \(u\)
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1522077