TWIN POSITIVE SOLUTIONS FOR p-LAPLACIAN NONLINEAR NEUMANN PROBLEMS VIA VARIATIONAL AND DEGREE THEORETICAL METHODS

Agarwal, RP; Filippakis, ME; O'Regan, D; Papageorgiou, NS

dc.contributor.author	Agarwal, RP	en
dc.contributor.author	Filippakis, ME	en
dc.contributor.author	O'Regan, D	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:57:38Z
dc.date.available	2014-03-01T01:57:38Z
dc.date.issued	2008	en
dc.identifier.issn	1345-4773	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/28458
dc.subject	p-Laplacian	en
dc.subject	Neumann problem	en
dc.subject	(S)(+)-operator	en
dc.subject	degree map	en
dc.subject	local minimizer	en
dc.subject	nonlinear Green's identity	en
dc.subject	homotopy invariance property	en
dc.subject.other	LINEAR ELLIPTIC-EQUATIONS	en
dc.subject.other	BOUNDARY-VALUE-PROBLEMS	en
dc.subject.other	EIGENVALUE PROBLEMS	en
dc.subject.other	MULTIPLE SOLUTIONS	en
dc.subject.other	EXISTENCE	en
dc.subject.other	OPERATORS	en
dc.title	TWIN POSITIVE SOLUTIONS FOR p-LAPLACIAN NONLINEAR NEUMANN PROBLEMS VIA VARIATIONAL AND DEGREE THEORETICAL METHODS	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	2008	en
heal.abstract	We consider a nonlinear Neumann problem driven by the p-Laplacian and with a nonsmooth potential function (hemivariational inequality). Using a combination of variational and degree theoretic techniques, we show that the problem has two positive smooth solutions. We also show the equivalence of W-n(1,p) and C-n(1) minimizers for a large class of locally Lipschitz functionals.	en
heal.publisher	YOKOHAMA PUBL	en
heal.journalName	JOURNAL OF NONLINEAR AND CONVEX ANALYSIS	en
dc.identifier.isi	ISI:000267419500001	en
dc.identifier.volume	9	en
dc.identifier.issue	1	en
dc.identifier.spage	1	en
dc.identifier.epage	23	en