Multiple solutions for noncoercive problems with the p-Laplacian

Gasinski, L; Papageorgiou, NS

dc.contributor.author	Gasinski, L	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:33:47Z
dc.date.available	2014-03-01T01:33:47Z
dc.date.issued	2010	en
dc.identifier.issn	1370-1444	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/20598
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-77951049529&partnerID=40&md5=75e8a99d124106bf74822cc292c9aac7	en
dc.subject	Critical groups	en
dc.subject	Multiple solutions	en
dc.subject	Noncoercive functional	en
dc.subject	P-Laplacian	en
dc.subject	Poincaré-Hopf formula	en
dc.subject	Principal eigenvalue	en
dc.subject.classification	Mathematics	en
dc.subject.other	LINEAR ELLIPTIC-EQUATIONS	en
dc.subject.other	EXISTENCE	en
dc.subject.other	PRINCIPLE	en
dc.title	Multiple solutions for noncoercive problems with the p-Laplacian	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	2010	en
heal.abstract	We consider a nonlinear elliptic equation driven by the p-Laplacian and with a Caratheodory right hand side nonlinearity which exhibits an asymmetric asymptotic behaviour at +infinity and at -infinity These hypotheses imply that the Euler functional of the problem is noncoercive (indefinite) Using critical point theory, we prove the existence of at least two nontrivial smooth solutions Also in the last section for the asymmetric functionals considered here, we compute the critical groups at infinity	en
heal.publisher	BELGIAN MATHEMATICAL SOC TRIOMPHE	en
heal.journalName	Bulletin of the Belgian Mathematical Society - Simon Stevin	en
dc.identifier.isi	ISI:000276755200006	en
dc.identifier.volume	17	en
dc.identifier.issue	1	en
dc.identifier.spage	83	en
dc.identifier.epage	99	en