A degree theoretic approach for multiple solutions of constant sign for nonlinear elliptic equations

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	2014-03-01T01:25:40Z
dc.date.available	2014-03-01T01:25:40Z
dc.date.issued	2007	en
dc.identifier.issn	0025-2611	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/17713
dc.subject	Differential Operators	en
dc.subject	Multiple Solution	en
dc.subject	Nonlinear Elliptic Equation	en
dc.subject.classification	Mathematics	en
dc.subject.other	POSITIVE SOLUTIONS	en
dc.subject.other	P-LAPLACIAN	en
dc.subject.other	EIGENVALUE PROBLEMS	en
dc.subject.other	LOCAL MINIMIZERS	en
dc.subject.other	REGULARITY	en
dc.subject.other	EXISTENCE	en
dc.subject.other	PRINCIPLE	en
dc.subject.other	MAPPINGS	en
dc.subject.other	SOBOLEV	en
dc.subject.other	WEIGHT	en
dc.title	A degree theoretic approach for multiple solutions of constant sign for nonlinear elliptic equations	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s00229-007-0127-x	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s00229-007-0127-x	en
heal.language	English	en
heal.publicationDate	2007	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 theorems on the existence of multiple nontrivial solutions of constant sign. © 2007 Springer-Verlag.	en
heal.publisher	SPRINGER	en
heal.journalName	Manuscripta Mathematica	en
dc.identifier.doi	10.1007/s00229-007-0127-x	en
dc.identifier.isi	ISI:000251097400006	en
dc.identifier.volume	124	en
dc.identifier.issue	4	en
dc.identifier.spage	507	en
dc.identifier.epage	531	en