The existence of two nontrivial solutions via homological local linking for the non-coercive p-Laplacian Neumann problem

O'Regan, D; Papageorgiou, NS

dc.contributor.author	O'Regan, D	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:32:10Z
dc.date.available	2014-03-01T01:32:10Z
dc.date.issued	2009	en
dc.identifier.issn	0362-546X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/20050
dc.subject	C-condition	en
dc.subject	Critical groups	en
dc.subject	Noncoercive Euler functional	en
dc.subject	p-Laplacian	en
dc.subject	PS-condition	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.subject.other	Laplace transforms	en
dc.subject.other	C-condition	en
dc.subject.other	Critical groups	en
dc.subject.other	Noncoercive Euler functional	en
dc.subject.other	p-Laplacian	en
dc.subject.other	PS-condition	en
dc.subject.other	Laplace equation	en
dc.title	The existence of two nontrivial solutions via homological local linking for the non-coercive p-Laplacian Neumann problem	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.na.2008.10.021	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.na.2008.10.021	en
heal.language	English	en
heal.publicationDate	2009	en
heal.abstract	In this paper we consider a nonlinear Neumann problem driven by the p-Laplacian and with a Carathéodory right hand side nonlinearity f (z, x). The hypothesis on f (z, x) does not imply the coercivity of the corresponding Euler functional. Using variational arguments and critical groups we show that the problem has at least two nontrivial smooth solutions. © 2008 Elsevier Ltd. All rights reserved.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	Nonlinear Analysis, Theory, Methods and Applications	en
dc.identifier.doi	10.1016/j.na.2008.10.021	en
dc.identifier.isi	ISI:000265721400026	en
dc.identifier.volume	70	en
dc.identifier.issue	12	en
dc.identifier.spage	4386	en
dc.identifier.epage	4392	en