PAIRS OF POSITIVE SOLUTIONS FOR p-LAPLACIAN EQUATIONS WITH COMBINED NONLINEARITIES

Kyritsi, ST; Papageorgiou, NS

dc.contributor.author	Kyritsi, ST	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:58:57Z
dc.date.available	2014-03-01T01:58:57Z
dc.date.issued	2009	en
dc.identifier.issn	1534-0392	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/28787
dc.subject	Concave nonlinearity	en
dc.subject	p-linear perturbation	en
dc.subject	resonance	en
dc.subject	p-superlinear perturbation	en
dc.subject	concave-convex nonlinearities	en
dc.subject	upper-lower solutions	en
dc.subject	truncation techniques	en
dc.subject	critical point theory	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.subject.other	QUASILINEAR ELLIPTIC-EQUATIONS	en
dc.subject.other	BOUNDARY-VALUE-PROBLEMS	en
dc.subject.other	CONCAVE NONLINEARITIES	en
dc.subject.other	MULTIPLICITY	en
dc.subject.other	NONEXISTENCE	en
dc.subject.other	EIGENVALUE	en
dc.subject.other	EXISTENCE	en
dc.subject.other	SOBOLEV	en
dc.subject.other	ORIGIN	en
dc.title	PAIRS OF POSITIVE SOLUTIONS FOR p-LAPLACIAN EQUATIONS WITH COMBINED NONLINEARITIES	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	2009	en
heal.abstract	We consider a nonlinear Dirichlet problem driven by the p-Laplacian differential operator, with an onlinearity concave near the origin and anonlinear 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 lambda(1) > 0 (the principal eigen value of (-Delta(p), W-0(1,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.publisher	AMER INST MATHEMATICAL SCIENCES	en
heal.journalName	COMMUNICATIONS ON PURE AND APPLIED ANALYSIS	en
dc.identifier.isi	ISI:000265190300013	en
dc.identifier.volume	8	en
dc.identifier.issue	3	en
dc.identifier.spage	1031	en
dc.identifier.epage	1051	en