Multiplicity of solutions for p-Laplacian equations which need not be coercive

Filippakis, ME; Papageorgiou, NS

dc.contributor.author	Filippakis, ME	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:28:48Z
dc.date.available	2014-03-01T01:28:48Z
dc.date.issued	2008	en
dc.identifier.issn	1536-1365	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/18984
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-42949104124&partnerID=40&md5=4ad4faf9d19286e0e8e66bb9c091936c	en
dc.subject	Critical group	en
dc.subject	Linking sets	en
dc.subject	Poincare-Hopf formula	en
dc.subject	Second deformation theorem	en
dc.subject	Second eigenvalue	en
dc.subject	Strong maximum principle	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.subject.other	LINEAR ELLIPTIC-EQUATIONS	en
dc.subject.other	NONTRIVIAL SOLUTIONS	en
dc.subject.other	ASYMPTOTIC LIMITS	en
dc.subject.other	LAPLACE EQUATIONS	en
dc.subject.other	FUCIK SPECTRUM	en
dc.subject.other	NONLINEARITY	en
dc.subject.other	EIGENVALUE	en
dc.subject.other	EXISTENCE	en
dc.subject.other	INFINITY	en
dc.title	Multiplicity of solutions for p-Laplacian equations which need not be coercive	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	2008	en
heal.abstract	In this paper, we consider nonlinear Dirichlet problem driven by the p-Laplacian differential operator. Using variational methods based on the critical point theory and truncation techniques, we prove the existence of at least three nontrivial smooth solutions. The hypotheses on the nonlinearity incorporate in our framework of analysis both coercive and noncoercive problems. For the semilinear problem (p = 2), using Morse theory, we show the existence of four nontrivial smooth solutions.	en
heal.publisher	ADVANCED NONLINEAR STUDIES, INC	en
heal.journalName	Advanced Nonlinear Studies	en
dc.identifier.isi	ISI:000255261700002	en
dc.identifier.volume	8	en
dc.identifier.issue	2	en
dc.identifier.spage	235	en
dc.identifier.epage	250	en