Multiplicity of solutions for parametric p-Laplacian equations with nonlinearity concave near the origin

Hu, S; Papageorgiou, NS

dc.contributor.author	Hu, S	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:33:48Z
dc.date.available	2014-03-01T01:33:48Z
dc.date.issued	2010	en
dc.identifier.issn	0040-8735	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/20602
dc.subject	Constant sign solutions	en
dc.subject	Multiple solutions	en
dc.subject	Nodal solutions	en
dc.subject	P-laplacian	en
dc.subject	P-linear perturbation	en
dc.subject	P-superlinear perturbation	en
dc.subject	Upper and lower solutions	en
dc.subject.classification	Mathematics	en
dc.subject.other	QUASILINEAR ELLIPTIC-EQUATIONS	en
dc.subject.other	LOCAL MINIMIZERS	en
dc.subject.other	SOBOLEV	en
dc.subject.other	EIGENVALUE	en
dc.subject.other	EXPONENTS	en
dc.title	Multiplicity of solutions for parametric p-Laplacian equations with nonlinearity concave near the origin	en
heal.type	journalArticle	en
heal.identifier.primary	10.2748/tmj/1270041030	en
heal.identifier.secondary	http://dx.doi.org/10.2748/tmj/1270041030	en
heal.language	English	en
heal.publicationDate	2010	en
heal.abstract	We consider a nonlinear elliptic problem driven by the p-Laplacian and depending on a parameter. The right-hand side nonlinearity is concave, (i.e., p-sublinear) near the origin. For such problems we prove two multiplicity results, one when the right-hand side nonlinearity is p-linear near infinity and the other when it is p-superlinear. Both results show that there exists an open bounded interval such that the problem has five nontrivial solutions (two positive, two negative and one nodal), if the parameter is in that interval. We also consider the case when the parameter is in the right end of the interval.	en
heal.publisher	TOHOKU UNIVERSITY	en
heal.journalName	Tohoku Mathematical Journal	en
dc.identifier.doi	10.2748/tmj/1270041030	en
dc.identifier.isi	ISI:000277820600008	en
dc.identifier.volume	62	en
dc.identifier.issue	1	en
dc.identifier.spage	137	en
dc.identifier.epage	162	en