Multiplicity results for nonlinear Neumann problems

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	2014-03-01T01:24:41Z
dc.date.available	2014-03-01T01:24:41Z
dc.date.issued	2006	en
dc.identifier.issn	0008-414X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/17395
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-32944470126&partnerID=40&md5=b08dacb9a54bdf6746248d73d0b39d20	en
dc.subject	Clarke subdifferential	en
dc.subject	Locally lipschitz function	en
dc.subject	Neumann problem	en
dc.subject	Nonsmooth critical point theory	en
dc.subject	Nonsmooth symmetric mountain pass theorem	en
dc.subject	P-Laplacian	en
dc.subject	Second deformation theorem	en
dc.subject	Strong resonance	en
dc.subject.classification	Mathematics	en
dc.subject.other	BOUNDARY-VALUE-PROBLEMS	en
dc.subject.other	OPERATORS	en
dc.subject.other	EQUATIONS	en
dc.subject.other	RESONANCE	en
dc.title	Multiplicity results for nonlinear Neumann problems	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	2006	en
heal.abstract	In this paper we study nonlinear elliptic problems of Neumann type driven by the p-Laplacian differential operator. We look for situations guaranteeing the existence of multiple solutions. First we study problems which are strongly resonant at infinity at the first (zero) eigenvalue. We prove five multiplicity results, four for problems with nonsmooth potential and one for problems with a C1-potential. In the last part, for nonsmooth problems in which the potential eventually exhibits a strict super-p-growth under a symmetry condition, we prove the existence of infinitely many pairs of nontrivial solutions. Our approach is variational based on the critical point theory for nonsmooth functional. Also we present some results concerning the first two elements of the spectrum of the negative p-Laplacian with Neumann boundary condition. ©Canadian Mathematical Society 2006.	en
heal.publisher	CANADIAN MATHEMATICAL SOC	en
heal.journalName	Canadian Journal of Mathematics	en
dc.identifier.isi	ISI:000234814500004	en
dc.identifier.volume	58	en
dc.identifier.issue	1	en
dc.identifier.spage	64	en
dc.identifier.epage	92	en