Pairs of positive solutions for p-Laplacian equations with combined nonlinearities

Kyritsi, STh; Nikolaos, SP

dc.contributor.author	Kyritsi, STh	en
dc.contributor.author	Nikolaos, SP	en
dc.date.accessioned	2014-03-01T01:58:47Z
dc.date.available	2014-03-01T01:58:47Z
dc.date.issued	2009	en
dc.identifier.issn	15340392	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/28728
dc.subject	Concave nonlinearity	en
dc.subject	Concave-convex nonlinearities	en
dc.subject	Critical point theory	en
dc.subject	p-linear perturbation	en
dc.subject	P-superlinear perturbation	en
dc.subject	Resonance	en
dc.subject	Truncation techniques	en
dc.subject	Upper-lower solutions	en
dc.title	Pairs of positive solutions for p-Laplacian equations with combined nonlinearities	en
heal.type	journalArticle	en
heal.identifier.primary	10.3934/cpaa.2009.8.1031	en
heal.identifier.secondary	http://dx.doi.org/10.3934/cpaa.2009.8.1031	en
heal.publicationDate	2009	en
heal.abstract	We consider a nonlinear Dirichlet problem driven by the p-Laplacian differential operator, with a nonlinearity concave near the origin and a nonlinear perturbation of it. We look for multiple positive solutions. We consider two distinct cases. One when the perturbation is p-linear and resonant with respect to λ1 > 0 (the principal eigenvalue of (-Δp, W01,P(Z))) at infinity and the other when the perturbation is p-superlinear at infinity. In both cases we obtain two positive smooth solutions. The approach is variational, coupled with the method of upper-lower solutions and with suitable truncation techniques.	en
heal.journalName	Communications on Pure and Applied Analysis	en
dc.identifier.doi	10.3934/cpaa.2009.8.1031	en
dc.identifier.volume	8	en
dc.identifier.issue	3	en
dc.identifier.spage	1031	en
dc.identifier.epage	1051	en