Three Nontrivial Solutions for a Quasilinear Elliptic Differential Equation at Resonance with Discontinuous Right Hand Side

Kourogenis, NC; Papageorgiou, NS

dc.contributor.author	Kourogenis, NC	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:15:20Z
dc.date.available	2014-03-01T01:15:20Z
dc.date.issued	1999	en
dc.identifier.issn	0022-247X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/13440
dc.subject	Coercive functional	en
dc.subject	Critical point	en
dc.subject	Ekeland variational principle	en
dc.subject	Generalized subdifferential	en
dc.subject	Local minimum	en
dc.subject	Locally Lipschitz function	en
dc.subject	Nonsmooth mountain pass theorem	en
dc.subject	Nonsmooth Palais-Smale condition	en
dc.subject	p-Laplacian	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.subject.other	BOUNDARY-VALUE-PROBLEMS	en
dc.subject.other	CRITICAL-POINT THEORY	en
dc.title	Three Nontrivial Solutions for a Quasilinear Elliptic Differential Equation at Resonance with Discontinuous Right Hand Side	en
heal.type	journalArticle	en
heal.identifier.primary	10.1006/jmaa.1999.6526	en
heal.identifier.secondary	http://dx.doi.org/10.1006/jmaa.1999.6526	en
heal.language	English	en
heal.publicationDate	1999	en
heal.abstract	We study a quasilinear elliptic equation at resonance with discontinuous right hand side. To have an existence theory, we pass to a multivalued version of the problem by filling in the gaps at the discontinuity points. Using the nonsmooth critical point theory of Chang for locally Lipschitz functionals and the Ekeland variational principle, we show that the resulting elliptic inclusion has three distinct nontrivial solutions. (C) 1999 Academic Press.	en
heal.publisher	ACADEMIC PRESS INC	en
heal.journalName	Journal of Mathematical Analysis and Applications	en
dc.identifier.doi	10.1006/jmaa.1999.6526	en
dc.identifier.isi	ISI:000083260400009	en
dc.identifier.volume	238	en
dc.identifier.issue	2	en
dc.identifier.spage	477	en
dc.identifier.epage	490	en