A multiplicity theorem for problems with the p-Laplacian

Motreanu, D; Motreanu, VV; Papageorgiou, NS

dc.contributor.author	Motreanu, D	en
dc.contributor.author	Motreanu, VV	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:27:42Z
dc.date.available	2014-03-01T01:27:42Z
dc.date.issued	2008	en
dc.identifier.issn	0362-546X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/18556
dc.subject	Degree map	en
dc.subject	Elliptic boundary value problem	en
dc.subject	Multiple nontrivial solutions	en
dc.subject	Operator of type (S)+	en
dc.subject	p-Laplacian	en
dc.subject	Weighted eigenvalue problem	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.subject.other	Boundary value problems	en
dc.subject.other	Eigenvalues and eigenfunctions	en
dc.subject.other	Mathematical operators	en
dc.subject.other	Nonlinear equations	en
dc.subject.other	Problem solving	en
dc.subject.other	Degree map	en
dc.subject.other	Multiple nontrivial solutions	en
dc.subject.other	Weighted eigenvalue problem	en
dc.subject.other	Theorem proving	en
dc.title	A multiplicity theorem for problems with the p-Laplacian	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.na.2006.12.002	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.na.2006.12.002	en
heal.language	English	en
heal.publicationDate	2008	en
heal.abstract	We consider nonlinear elliptic equations driven by the p-Laplacian differential operator. Using degree theoretic arguments based on the degree map for operators of type (S)(+), we prove the existence of two nontrivial smooth solutions, one of which is of constant sign. (C) 2007 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.2006.12.002	en
dc.identifier.isi	ISI:000253439500027	en
dc.identifier.volume	68	en
dc.identifier.issue	4	en
dc.identifier.spage	1016	en
dc.identifier.epage	1027	en