Existence and comparison results for variational-hemivariational inequalities

<p/> <p>We consider a prototype of quasilinear elliptic variational-hemivariational inequalities involving the indicator function of some closed convex set and a locally Lipschitz functional. We provide a generalization of the fundamental notion of sub- and supersolutions on the basis of...

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Main Author:	Carl S
Format:	Article
Language:	English
Published:	SpringerOpen 2005-01-01
Series:	Journal of Inequalities and Applications
Online Access:	http://www.journalofinequalitiesandapplications.com/content/2005/402086

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record_format	Article
spelling	doaj-19cd89a909dd494c90de769744e11e332020-11-24T22:20:06ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2005-01-0120051402086Existence and comparison results for variational-hemivariational inequalitiesCarl S<p/> <p>We consider a prototype of quasilinear elliptic variational-hemivariational inequalities involving the indicator function of some closed convex set and a locally Lipschitz functional. We provide a generalization of the fundamental notion of sub- and supersolutions on the basis of which we then develop the sub-supersolution method for variational-hemivariational inequalities. Furthermore, we give an example to illustrate the abstract theory developed in this paper.</p>http://www.journalofinequalitiesandapplications.com/content/2005/402086
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Carl S
spellingShingle	Carl S Existence and comparison results for variational-hemivariational inequalities Journal of Inequalities and Applications
author_facet	Carl S
author_sort	Carl S
title	Existence and comparison results for variational-hemivariational inequalities
title_short	Existence and comparison results for variational-hemivariational inequalities
title_full	Existence and comparison results for variational-hemivariational inequalities
title_fullStr	Existence and comparison results for variational-hemivariational inequalities
title_full_unstemmed	Existence and comparison results for variational-hemivariational inequalities
title_sort	existence and comparison results for variational-hemivariational inequalities
publisher	SpringerOpen
series	Journal of Inequalities and Applications
issn	1025-5834 1029-242X
publishDate	2005-01-01
description	<p/> <p>We consider a prototype of quasilinear elliptic variational-hemivariational inequalities involving the indicator function of some closed convex set and a locally Lipschitz functional. We provide a generalization of the fundamental notion of sub- and supersolutions on the basis of which we then develop the sub-supersolution method for variational-hemivariational inequalities. Furthermore, we give an example to illustrate the abstract theory developed in this paper.</p>
url	http://www.journalofinequalitiesandapplications.com/content/2005/402086
work_keys_str_mv	AT carls existenceandcomparisonresultsforvariationalhemivariationalinequalities
_version_	1725776858561118208

Existence and comparison results for variational-hemivariational inequalities

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