Solutions and multiple solutions for problems with the p-Laplacian

Hu, S; Papageorgiou, NS

dc.contributor.author	Hu, S	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:27:16Z
dc.date.available	2014-03-01T01:27:16Z
dc.date.issued	2007	en
dc.identifier.issn	0026-9255	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/18372
dc.subject	First and second eigenvalues of the p-Laplacian	en
dc.subject	Linking sets	en
dc.subject	Local linking condition	en
dc.subject	Locally Lipschitz potential	en
dc.subject	Nonsmooth C and PS-conditions	en
dc.subject.classification	Mathematics	en
dc.subject.other	DEGENERATE ELLIPTIC-EQUATIONS	en
dc.subject.other	CRITICAL-POINTS	en
dc.subject.other	EXISTENCE	en
dc.subject.other	PERTURBATIONS	en
dc.subject.other	LINKING	en
dc.title	Solutions and multiple solutions for problems with the p-Laplacian	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s00605-006-0432-6	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s00605-006-0432-6	en
heal.language	English	en
heal.publicationDate	2007	en
heal.abstract	In this paper we consider two nonlinear elliptic problems driven by the p-Laplacian and having a nonsmooth potential (hemivariational inequalities). The first is an eigenvalue problem and we prove that if the parameter λ < λ2 = the second eigenvalue of the p-Laplacian, then there exists a nontrivial smooth solution. The second problem is resonant both near zero and near infinity for the principal eigenvalue of the p-Laplacian. For this problem we prove a multiplicity result. Our approach is variational based on the nonsmooth critical point theory. © Springer-Verlag 2007.	en
heal.publisher	SPRINGER WIEN	en
heal.journalName	Monatshefte fur Mathematik	en
dc.identifier.doi	10.1007/s00605-006-0432-6	en
dc.identifier.isi	ISI:000245175500004	en
dc.identifier.volume	150	en
dc.identifier.issue	4	en
dc.identifier.spage	309	en
dc.identifier.epage	326	en