On the existence of positive solutions for hemivariational inequalities driven by the p-Laplacian

Filippakis, M; Gasinski, L; Papageorgiou, NS

dc.contributor.author	Filippakis, M	en
dc.contributor.author	Gasinski, L	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:22:52Z
dc.date.available	2014-03-01T01:22:52Z
dc.date.issued	2005	en
dc.identifier.issn	0925-5001	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/16692
dc.subject	Clarke subdifferential	en
dc.subject	Hemivariational inequality	en
dc.subject	Nonsmooth Cerami condition	en
dc.subject	Nonsmooth critical point theory	en
dc.subject	Nonsmooth Mountain Pass Theorem	en
dc.subject	p-Laplacian	en
dc.subject	Positive solution	en
dc.subject	Principal eigenvalue and eigenfunction	en
dc.subject.classification	Operations Research & Management Science	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	Eigenvalues and eigenfunctions	en
dc.subject.other	Functions	en
dc.subject.other	Iterative methods	en
dc.subject.other	Set theory	en
dc.subject.other	Theorem proving	en
dc.subject.other	Topology	en
dc.subject.other	Clarke subdifferential	en
dc.subject.other	Hemivariational inequality	en
dc.subject.other	Nonsmooth Cerami condition	en
dc.subject.other	Nonsmooth critical point theory	en
dc.subject.other	Nonsmooth Mountain Pass theorem	en
dc.subject.other	p-Laplacian	en
dc.subject.other	Positive solutions	en
dc.subject.other	Principle eigenvalue and eigenfunction	en
dc.subject.other	Linear equations	en
dc.title	On the existence of positive solutions for hemivariational inequalities driven by the p-Laplacian	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s10898-003-5444-3	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s10898-003-5444-3	en
heal.language	English	en
heal.publicationDate	2005	en
heal.abstract	We study nonlinear elliptic problems driven by the p-Laplacian and with a nonsmooth locally Lipschitz potential (hemivariational inequality). We do not assume that the nonsmooth potential satisfies the Ambrosetti - Rabinowitz condition. Using a variational approach based on the nonsmooth critical point theory we establish the existence of at least one smooth positive solution. © Springer 2005.	en
heal.publisher	SPRINGER	en
heal.journalName	Journal of Global Optimization	en
dc.identifier.doi	10.1007/s10898-003-5444-3	en
dc.identifier.isi	ISI:000228854700011	en
dc.identifier.volume	31	en
dc.identifier.issue	1	en
dc.identifier.spage	173	en
dc.identifier.epage	189	en