Multiple solutions for nonlinear coercive neumann problems

Kyritsi, STh; Papageorgiou, NS

dc.contributor.author	Kyritsi, STh	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:31:17Z
dc.date.available	2014-03-01T01:31:17Z
dc.date.issued	2009	en
dc.identifier.issn	1534-0392	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/19769
dc.subject	Critical groups	en
dc.subject	Linking theorem	en
dc.subject	Local minimizer	en
dc.subject	Morse theory	en
dc.subject	p-laplacian	en
dc.subject	Second deformation theorem	en
dc.subject	Three nontrivial smooth solutions	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.subject.other	LINEAR ELLIPTIC-EQUATIONS	en
dc.subject.other	P-LAPLACIAN	en
dc.subject.other	LOCAL MINIMIZERS	en
dc.subject.other	EIGENVALUE PROBLEMS	en
dc.subject.other	EXISTENCE	en
dc.subject.other	SIGN	en
dc.subject.other	RESONANCE	en
dc.subject.other	SPECTRUM	en
dc.subject.other	THEOREM	en
dc.title	Multiple solutions for nonlinear coercive neumann problems	en
heal.type	journalArticle	en
heal.identifier.primary	10.3934/cpaa.2009.8.1957	en
heal.identifier.secondary	http://dx.doi.org/10.3934/cpaa.2009.8.1957	en
heal.language	English	en
heal.publicationDate	2009	en
heal.abstract	In this paper we deal with a nonlinear Neumann problem driven by the p-Laplacian and with a potential function which asymptotically at infinity is p-linear. Using variational methods based on critical point theory coupled with suitable truncation techniques, we prove a theorem establishing the existence of at least three nontrivial smooth solutions for the Neumann problem. For the semilinear case (i.e., p = 2) using Morse theory, we produce one more nontrivial smooth solution.	en
heal.publisher	AMER INST MATHEMATICAL SCIENCES	en
heal.journalName	Communications on Pure and Applied Analysis	en
dc.identifier.doi	10.3934/cpaa.2009.8.1957	en
dc.identifier.isi	ISI:000269220800014	en
dc.identifier.volume	8	en
dc.identifier.issue	6	en
dc.identifier.spage	1957	en
dc.identifier.epage	1974	en