Multiplicity of nontrivial solutions for elliptic equations with nonsmooth potential and resonance at higher eigenvalues

Gasinski, L; Motreanu, D; Papageorgiou, NS

dc.contributor.author	Gasinski, L	en
dc.contributor.author	Motreanu, D	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:24:41Z
dc.date.available	2014-03-01T01:24:41Z
dc.date.issued	2006	en
dc.identifier.issn	0253-4142	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/17394
dc.subject	Clarke subdifferential	en
dc.subject	Critical point	en
dc.subject	Double resonance	en
dc.subject	Eigenvalue	en
dc.subject	Hemivariational inequality	en
dc.subject	Local linking	en
dc.subject	Locally Lipschitz function	en
dc.subject	Nonsmooth Cerami condition	en
dc.subject	Reduction method	en
dc.subject.classification	Mathematics	en
dc.subject.other	Clarke subdifferential	en
dc.subject.other	Critical point	en
dc.subject.other	Double resonance	en
dc.subject.other	Hemivariational inequality	en
dc.subject.other	Local linking	en
dc.subject.other	Locally Lipschitz function	en
dc.subject.other	Nonsmooth Cerami condition	en
dc.subject.other	Reduction method	en
dc.subject.other	Functions	en
dc.subject.other	Mathematical models	en
dc.subject.other	Numerical analysis	en
dc.subject.other	Resonance	en
dc.subject.other	Eigenvalues and eigenfunctions	en
dc.title	Multiplicity of nontrivial solutions for elliptic equations with nonsmooth potential and resonance at higher eigenvalues	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF02829789	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF02829789	en
heal.language	English	en
heal.publicationDate	2006	en
heal.abstract	We consider a semilinear elliptic equation with a nonsmooth, locally Lipschitz potential function (hemivariational inequality). Our hypotheses permit double resonance at infinity and at zero (double-double resonance situation). Our approach is based on the nonsmooth critical point theory for locally Lipschitz functionals and uses an abstract multiplicity result under local linking and an extension of the Castro-Lazer-Thews reduction method to a nonsmooth setting, which we develop here using tools from nonsmooth analysis. © Printed in India.	en
heal.publisher	INDIAN ACADEMY SCIENCES	en
heal.journalName	Proceedings of the Indian Academy of Sciences: Mathematical Sciences	en
dc.identifier.doi	10.1007/BF02829789	en
dc.identifier.isi	ISI:000238163600008	en
dc.identifier.volume	116	en
dc.identifier.issue	2	en
dc.identifier.spage	233	en
dc.identifier.epage	255	en