Minimal and maximal solutions for Dirichlet pseudomonotone problems
type: Item
instance of: scholarly article
title: Minimal and maximal solutions for Dirichlet pseudomonotone problems
zbMATH Open document ID: 0965.35064
DOI: 10.1016/S0362-546X(99)00194-7
author: Juan Casado-Díaz
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2001-07-22T00:00:00Z
review text: The following Dirichlet problem \[ -\text{div } a(x,u, Du)=f, \qquad u-u_0 \in W^{1,p}_0(\Omega), \] is studied. The problem does not have a unique solution in general. The existence of a minimal and maximal solution under some conditions for \(a\) is proved.
Mathematics Subject Classification ID: 35J65
Mathematics Subject Classification ID: 35A05
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 1556809
zbMATH Keywords: pseudomonotone
zbMATH Keywords: Dirichlet
zbMATH Keywords: minimal solution
zbMATH Keywords: maximal solution
reviewed by: Ramzet M. Dzhafarov
MaRDI profile type: Publication
cites work: Q4033556
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Wikidata QID: Q126832064
description: scientific article; zbMATH DE number 1556809