Three nontrivial solutions for periodic problems with the p-Laplacian and a p-superlinear nonlinearity

Gasinski, L; Papageorgiou, NS

dc.contributor.author	Gasinski, L	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:32:12Z
dc.date.available	2014-03-01T01:32:12Z
dc.date.issued	2009	en
dc.identifier.issn	1534-0392	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/20075
dc.subject	Critical groups	en
dc.subject	Morse theory	en
dc.subject	Mountain pass theorem	en
dc.subject	Poincaré-hopf formula	en
dc.subject	Scalar p-Laplacian	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.subject.other	ELLIPTIC PROBLEMS	en
dc.subject.other	EQUATIONS	en
dc.subject.other	EXISTENCE	en
dc.subject.other	RESONANCE	en
dc.subject.other	INFINITY	en
dc.subject.other	DRIVEN	en
dc.title	Three nontrivial solutions for periodic problems with the p-Laplacian and a p-superlinear nonlinearity	en
heal.type	journalArticle	en
heal.identifier.primary	10.3934/cpaa.2009.8.1421	en
heal.identifier.secondary	http://dx.doi.org/10.3934/cpaa.2009.8.1421	en
heal.language	English	en
heal.publicationDate	2009	en
heal.abstract	We consider a nonlinear periodic problem driven by the scalar p-Laplacian and a nonlinearity that exhibits a p-superlinear growth near +/-infinity, but need not satisfy the Ambrosetti-Rabinowitz condition. Using minimax methods, truncations techniques and Morse theory, we show that the problem has at least three nontrivial solutions, two of which are of fixed sign.	en
heal.publisher	AMER INST MATHEMATICAL SCIENCES	en
heal.journalName	Communications on Pure and Applied Analysis	en
dc.identifier.doi	10.3934/cpaa.2009.8.1421	en
dc.identifier.isi	ISI:000265190400014	en
dc.identifier.volume	8	en
dc.identifier.issue	4	en
dc.identifier.spage	1421	en
dc.identifier.epage	1437	en