Eigenvalue problems for hemivariational inequalities

Papageorgiou, NS; Andrade Santos, SR; Staicu, V

dc.contributor.author	Papageorgiou, NS	en
dc.contributor.author	Andrade Santos, SR	en
dc.contributor.author	Staicu, V	en
dc.date.accessioned	2014-03-01T01:28:14Z
dc.date.available	2014-03-01T01:28:14Z
dc.date.issued	2008	en
dc.identifier.issn	0927-6947	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/18773
dc.subject	AR-condition	en
dc.subject	Generalized subdifferential	en
dc.subject	Linking set	en
dc.subject	Locally Lipschitz function	en
dc.subject	Multiple solutions	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	CRITICAL-POINT THEORY	en
dc.subject.other	MULTIPLE SOLUTIONS	en
dc.title	Eigenvalue problems for hemivariational inequalities	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s11228-008-0100-1	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s11228-008-0100-1	en
heal.language	English	en
heal.publicationDate	2008	en
heal.abstract	We consider a semilinear eigenvalue problem with a nonsmooth potential (hemivariational inequality). Using a nonsmooth analog of the local Ambrosetti-Rabinowitz condition (AR-condition), we show that the problem has a nontrivial smooth solution. In the scalar case, we show that we can relax the local AR-condition. Finally, for the resonant λ∈=∈λ 1 problem, using the nonsmooth version of the local linking theorem, we show that the problem has at least two nontrivial solutions. Our approach is variational, using minimax methods from the nonsmooth critical point theory. © 2008 Springer Science+Business Media B.V.	en
heal.publisher	SPRINGER	en
heal.journalName	Set-Valued Analysis	en
dc.identifier.doi	10.1007/s11228-008-0100-1	en
dc.identifier.isi	ISI:000262125700014	en
dc.identifier.volume	16	en
dc.identifier.issue	7-8	en
dc.identifier.spage	1061	en
dc.identifier.epage	1087	en