Nonsmooth critical point theory and nonlinear elliptic equations at resonance

Kourogenis, NC; Papageorgiou, NS

dc.contributor.author	Kourogenis, NC	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:15:44Z
dc.date.available	2014-03-01T01:15:44Z
dc.date.issued	2000	en
dc.identifier.issn	0263-6115	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/13699
dc.subject	nonsmooth critical point theory	en
dc.subject	locally Lipschitz function	en
dc.subject	subdifferential	en
dc.subject	linking	en
dc.subject	nonsmooth Palais-Smale condition	en
dc.subject	nonsmooth Cerami condition	en
dc.subject	Mountain pass theorem	en
dc.subject	Saddle point theorem	en
dc.subject	problems at resonance	en
dc.subject	p-Laplacian	en
dc.subject	first eigenvalue	en
dc.subject.classification	Mathematics	en
dc.subject.classification	Statistics & Probability	en
dc.subject.other	PARTIAL-DIFFERENTIAL EQUATIONS	en
dc.subject.other	MULTIPLE NONTRIVIAL SOLUTIONS	en
dc.subject.other	BOUNDARY-VALUE-PROBLEMS	en
dc.subject.other	REGULARITY	en
dc.title	Nonsmooth critical point theory and nonlinear elliptic equations at resonance	en
heal.type	journalArticle	en
heal.identifier.primary	10.2996/kmj/1138044160	en
heal.identifier.secondary	http://dx.doi.org/10.2996/kmj/1138044160	en
heal.language	English	en
heal.publicationDate	2000	en
heal.abstract	In this paper we complete two tasks. First we extend the nonsmooth critical point theory of Chang to the case where the energy functional satisfies only the weaker nonsmooth Cerami condition and we also relax the boundary conditions. Then we study semilinear and quasilinear equations (involving the p-laplacian). Using a variational approach we establish the existence of one and of multiple solutions. In simple existence theorems, we allow the right hand side to be discontinuous. In that case in order to have an existence theory, we pass to a multivalued approximation of the original problem by, roughly speaking, filling in the gaps at the discontinuity points. 2000 Mathematics subject classification: primary 35J20, 35R70, 49F15, 58E05.	en
heal.publisher	AUSTRALIAN MATHEMATICS PUBL ASSOC INC	en
heal.journalName	JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS	en
dc.identifier.doi	10.2996/kmj/1138044160	en
dc.identifier.isi	ISI:000090005900008	en
dc.identifier.volume	69	en
dc.identifier.spage	245	en
dc.identifier.epage	271	en