Positive solutions and multiple solutions for periodic problems driven by scalar p-Laplacian

Hu, S; Papageorgiou, NS

dc.contributor.author	Hu, S	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:24:52Z
dc.date.available	2014-03-01T01:24:52Z
dc.date.issued	2006	en
dc.identifier.issn	0025-584X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/17478
dc.subject	Generalized subdifferential	en
dc.subject	Locally Lipschitz function	en
dc.subject	Mountain Pass Theorem	en
dc.subject	Multiple solutions	en
dc.subject	Nonsmooth critical point theory	en
dc.subject	Nonsmooth PS-condition	en
dc.subject	Positive solution	en
dc.subject.classification	Mathematics	en
dc.subject.other	BOUNDARY-VALUE-PROBLEMS	en
dc.subject.other	CRITICAL-POINT THEORY	en
dc.subject.other	ELLIPTIC-EQUATIONS	en
dc.subject.other	EXISTENCE	en
dc.title	Positive solutions and multiple solutions for periodic problems driven by scalar p-Laplacian	en
heal.type	journalArticle	en
heal.identifier.primary	10.1002/mana.200310423	en
heal.identifier.secondary	http://dx.doi.org/10.1002/mana.200310423	en
heal.language	English	en
heal.publicationDate	2006	en
heal.abstract	In this paper we study a nonlinear second order periodic problem driven by a scalar p-Laplacian and with a nonsmooth, locally Lipschitz potential function. Using a variational approach based on the nonsmooth critical point theory for locally Lipschitz functions, we first prove the existence of nontrivial positive solutions and then establish the existence of a second distinct solution (multiplicity theorem) by strengthening further the hypotheses. (c) 2006 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.	en
heal.publisher	WILEY-V C H VERLAG GMBH	en
heal.journalName	Mathematische Nachrichten	en
dc.identifier.doi	10.1002/mana.200310423	en
dc.identifier.isi	ISI:000240364800004	en
dc.identifier.volume	279	en
dc.identifier.issue	12	en
dc.identifier.spage	1321	en
dc.identifier.epage	1334	en