On Nonlinear Parametric Problems for p-Laplacian-Like Operators

Papageorgiou, NS; Rocha, EM

dc.contributor.author	Papageorgiou, NS	en
dc.contributor.author	Rocha, EM	en
dc.date.accessioned	2014-03-01T01:31:33Z
dc.date.available	2014-03-01T01:31:33Z
dc.date.issued	2009	en
dc.identifier.issn	1578-7303	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/19811
dc.subject	Critical groups and Morse theory	en
dc.subject	P-Laplacian-like operator	en
dc.subject	Strong deformation retract	en
dc.subject	Superlinear nonlinearity	en
dc.subject.other	ELLIPTIC EIGENVALUE PROBLEMS	en
dc.subject.other	STRONG MAXIMUM PRINCIPLE	en
dc.subject.other	EQUATIONS	en
dc.subject.other	RESONANCE	en
dc.subject.other	THEOREMS	en
dc.title	On Nonlinear Parametric Problems for p-Laplacian-Like Operators	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF03191850	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF03191850	en
heal.language	English	en
heal.publicationDate	2009	en
heal.abstract	We study a nonlinear parametric problem driven by a p-Laplacian-like operator (which need not be homogeneous) and with a (p - 1)-superlinear nonlinearity which satisfy weaker conditions than the Ambrosetti-Rabinowitz condition. Using critical point theory, we show that for every λ > 0, the nonlinear parametric problem has a nontrivial solution. Then, by strengthening the conditions on the operator and the nonlinearity, and using variational methods together with suitable truncation techniques and tools from Morse theory, we show that, for every λ > 0, the nonlinear parametric problem has three nontrivial smooth solutions. © 2009 Real Academia de Ciencias, España.	en
heal.publisher	REAL ACAD CIENCIAS EXACTAS FISICAS NATURALES	en
heal.journalName	Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas	en
dc.identifier.doi	10.1007/BF03191850	en
dc.identifier.isi	ISI:000265502200022	en
dc.identifier.volume	103	en
dc.identifier.issue	1	en
dc.identifier.spage	177	en
dc.identifier.epage	200	en