Existence of multiple solutions for nonlinear dirichlet problems with a nonhomogeneous differential operator

Kyritsi, ST; Regan, DO'; Papageorgiou, NS

dc.contributor.author	Kyritsi, ST	en
dc.contributor.author	Regan, DO'	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:33:28Z
dc.date.available	2014-03-01T01:33:28Z
dc.date.issued	2010	en
dc.identifier.issn	1536-1365	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/20434
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-77955871440&partnerID=40&md5=a1db8d2349062c700942aa1ac720e0f2	en
dc.subject	Critical groups	en
dc.subject	Morse theory	en
dc.subject	Mountain pass theorem	en
dc.subject	Nonhomogeneous differential operator	en
dc.subject	Second deformation theorem	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.subject.other	P-LAPLACIAN TYPE	en
dc.subject.other	ELLIPTIC-EQUATIONS	en
dc.subject.other	THEOREM	en
dc.title	Existence of multiple solutions for nonlinear dirichlet problems with a nonhomogeneous differential operator	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	2010	en
heal.abstract	We consider nonlinear elliptic problems driven by a nonhomogeneous nonlinear differential operator. Using variational methods combined with Morse theory (critical groups), we prove two multiplicity results establishing three nontrivial smooth solutions. For the semilinear problem (linear differential operator), we produce four nontrivial smooth solutions. In the special case of the p-Laplacian differential operator, our framework of analysis incorporates equations which are resonant at infinity with respect to the principal eigenvalue.	en
heal.publisher	ADVANCED NONLINEAR STUDIES, INC	en
heal.journalName	Advanced Nonlinear Studies	en
dc.identifier.isi	ISI:000280268000007	en
dc.identifier.volume	10	en
dc.identifier.issue	3	en
dc.identifier.spage	631	en
dc.identifier.epage	657	en