On the Existence of Three Nontrivial Smooth Solutions for Nonlinear Elliptic Equations

Papageorgiou, N; Rocha, M; Staicu, V

dc.contributor.author	Papageorgiou, N	en
dc.contributor.author	Rocha, M	en
dc.contributor.author	Staicu, V	en
dc.date.accessioned	2014-03-01T01:56:05Z
dc.date.available	2014-03-01T01:56:05Z
dc.date.issued	2007	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/27956
dc.subject	Differential Operators	en
dc.subject	Maximum Principle	en
dc.subject	Nonlinear Elliptic Equation	en
dc.subject	Nonlinear Elliptic Problem	en
dc.subject	nonsmooth critical point theory	en
dc.subject	Potential Function	en
dc.subject	Variational Approach	en
dc.title	On the Existence of Three Nontrivial Smooth Solutions for Nonlinear Elliptic Equations	en
heal.type	journalArticle	en
heal.publicationDate	2007	en
heal.abstract	We consider a nonlinear elliptic problem with a nonsmooth potential function. The nonlinear differential oper- ator includes as special case the p Laplacian. Using a variational approach based on nonsmooth critical point theory, we show the existence of at least three nontrivial smooth solutions. Two of them have constant sign (one is positive and the other is negative).	en