ON THE EXISTENCE OF THREE NONTRIVIAL SMOOTH SOLUTIONS FOR NONLINEAR ELLIPTIC EQUATIONS

Papageorgiou, NS; Rocha, EM; Staicu, V

dc.contributor.author	Papageorgiou, NS	en
dc.contributor.author	Rocha, EM	en
dc.contributor.author	Staicu, V	en
dc.date.accessioned	2014-03-01T02:00:33Z
dc.date.available	2014-03-01T02:00:33Z
dc.date.issued	2010	en
dc.identifier.issn	1345-4773	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/29115
dc.subject	Locally Lipschitz potential	en
dc.subject	generalized subdifferential	en
dc.subject	nonlinear maximum principle	en
dc.subject	three nontrivial solutions	en
dc.subject	nonlinear regularity theory	en
dc.subject	PS-condition	en
dc.subject	linking sets	en
dc.subject	minimax principle	en
dc.subject	second deformation theorem	en
dc.subject.other	P-LAPLACIAN-TYPE	en
dc.subject.other	MULTIPLE SOLUTIONS	en
dc.subject.other	SIGN	en
dc.subject.other	REGULARITY	en
dc.subject.other	THEOREM	en
dc.title	ON THE EXISTENCE OF THREE NONTRIVIAL SMOOTH SOLUTIONS FOR NONLINEAR ELLIPTIC EQUATIONS	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	2010	en
heal.abstract	We consider a nonlinear elliptic problem with a nonsmooth potential function. The nonlinear differential operator 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
heal.publisher	YOKOHAMA PUBL	en
heal.journalName	JOURNAL OF NONLINEAR AND CONVEX ANALYSIS	en
dc.identifier.isi	ISI:000281707800010	en
dc.identifier.volume	11	en
dc.identifier.issue	1	en
dc.identifier.spage	115	en
dc.identifier.epage	136	en