Nonhomogeneous nonlinear dirichlet problems with a p-superlinear reaction

Gasinski, L; Papageorgiou, NS

dc.contributor.author	Gasinski, L	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T02:11:32Z
dc.date.available	2014-03-01T02:11:32Z
dc.date.issued	2012	en
dc.identifier.issn	10853375	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/29931
dc.title	Nonhomogeneous nonlinear dirichlet problems with a p-superlinear reaction	en
heal.type	journalArticle	en
heal.identifier.primary	10.1155/2012/918271	en
heal.identifier.secondary	http://dx.doi.org/10.1155/2012/918271	en
heal.identifier.secondary	918271	en
heal.publicationDate	2012	en
heal.abstract	We consider a nonlinear Dirichlet elliptic equation driven by a nonhomogeneous differential operator and with a Carathéodory reaction f(z, ζ), whose primitive f(z,ζ) is p-superlinear near ±∞, but need not satisfy the usual in such cases, the Ambrosetti-Rabinowitz condition. Using a combination of variational methods with the Morse theory (critical groups), we show that the problem has at least three nontrivial smooth solutions. Our result unifies the study of superlinear equations monitored by some differential operators of interest like the p -Laplacian, the (p,q) -Laplacian, and the p -generalized mean curvature operator. Copyright 2012 Leszek Gasiski and Nikolaos S. Papageorgiou.	en
heal.journalName	Abstract and Applied Analysis	en
dc.identifier.doi	10.1155/2012/918271	en
dc.identifier.volume	2012	en