A pair of positive solutions for the Dirichlet p(z)-Laplacian with concave and convex nonlinearities

Gasinski, L; Papageorgiou, NS

dc.contributor.author	Gasinski, L	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T11:46:38Z
dc.date.available	2014-03-01T11:46:38Z
dc.date.issued	2012	en
dc.identifier.issn	09255001	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/37989
dc.subject	Concave and convex terms	en
dc.subject	Ekeland variational principle	en
dc.subject	Maximum principle	en
dc.subject	Mountain pass theorem	en
dc.subject	Positive solutions	en
dc.subject	Variable exponent	en
dc.title	A pair of positive solutions for the Dirichlet p(z)-Laplacian with concave and convex nonlinearities	en
heal.type	other	en
heal.identifier.primary	10.1007/s10898-011-9841-8	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s10898-011-9841-8	en
heal.publicationDate	2012	en
heal.abstract	We consider a nonlinear parametric Dirichlet problem driven by the anisotropic p-Laplacian with the combined effects of ""concave"" and ""convex"" terms. The ""superlinear"" nonlinearity need not satisfy the Ambrosetti-Rabinowitz condition. Using variational methods based on the critical point theory and the Ekeland variational principle, we show that for small values of the parameter, the problem has at least two nontrivial smooth positive solutions. © 2012 The Author(s).	en
heal.journalName	Journal of Global Optimization	en
dc.identifier.doi	10.1007/s10898-011-9841-8	en
dc.identifier.spage	1	en
dc.identifier.epage	14	en