Existence results for a class of nonlinear elliptic problems with \(p\)-growth in the gradient
type: Item
instance of: scholarly article
title: Existence results for a class of nonlinear elliptic problems with \(p\)-growth in the gradient
zbMATH Open document ID: 1087.35037
DOI: 10.1016/S0362-546X(02)00143-8
author: N. Grenon
author: Cristina Trombetti
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2003-03-11T00:00:00Z
review text: The authors prove existence of bounded solutions for a class of nonlinear elliptic problems. A prototype equation is the following \[ -\text{ div}(a(x,u,Du)) = k_1(| u| )| Du| ^p + k_2(| u| )f, \qquad u \in W^{1,p}_0 \cap L^\infty\,. \]
reviewed by: Giuseppe Di Fazio
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 1879988
zbMATH Keywords: nonlinear elliptic equations
zbMATH Keywords: existence.
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1879988