Multiple solutions for nonlinear discontinuous strongly resonant elliptic problems

Kourogenis, NC; Papageorgiou, NS

dc.contributor.author	Kourogenis, NC	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:16:46Z
dc.date.available	2014-03-01T01:16:46Z
dc.date.issued	2001	en
dc.identifier.issn	0025-5645	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/14215
dc.subject	Coercivity	en
dc.subject	Critical point	en
dc.subject	Discontinuous function	en
dc.subject	Ekeland variational principle	en
dc.subject	First eigenvalue	en
dc.subject	Locally Lipschitz functional	en
dc.subject	Mountain pass theorem	en
dc.subject	Nonsmooth C-condition	en
dc.subject	Nonsmooth Palais-Smale condition	en
dc.subject	P-Laplacian	en
dc.subject	Strongly resonant problem	en
dc.subject.classification	Mathematics	en
dc.subject.other	BOUNDARY-VALUE-PROBLEMS	en
dc.subject.other	CRITICAL-POINT THEORY	en
dc.subject.other	NONTRIVIAL SOLUTIONS	en
dc.subject.other	LINEAR-PROBLEMS	en
dc.subject.other	EQUATIONS	en
dc.title	Multiple solutions for nonlinear discontinuous strongly resonant elliptic problems	en
heal.type	journalArticle	en
heal.identifier.primary	10.2969/jmsj/05310017	en
heal.identifier.secondary	http://dx.doi.org/10.2969/jmsj/05310017	en
heal.language	English	en
heal.publicationDate	2001	en
heal.abstract	We consider quasilinear strongly resonant problems with discontinuous right hand side. To develop an existence theory we pass to a multivalued problem by, roughly speaking, filling in the gaps at the discontinuity points. We prove the existence of at least three nontrivial solutions. Our approach uses the nonsmooth critical point theory for locally Lipschitz functionals due to Chang and a generalized version of the Ekeland variational principle. At the end of the paper we also show that the nonsmooth (PS)-condition implies the coercivity of the functional, extending this way a well known result of the ""smooth"" case.	en
heal.publisher	MATH SOC JAPAN	en
heal.journalName	Journal of the Mathematical Society of Japan	en
dc.identifier.doi	10.2969/jmsj/05310017	en
dc.identifier.isi	ISI:000167028000002	en
dc.identifier.volume	53	en
dc.identifier.issue	1	en
dc.identifier.spage	16	en
dc.identifier.epage	34	en