Multiplicity theorems for semilinear elliptic problems depending on a parameter

Kristaly, A; Papageorgiou, NS

dc.contributor.author	Kristaly, A	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:31:17Z
dc.date.available	2014-03-01T01:31:17Z
dc.date.issued	2009	en
dc.identifier.issn	0013-0915	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/19772
dc.subject	Critical groups	en
dc.subject	Critical point	en
dc.subject	Local minimizer	en
dc.subject	Truncated functional	en
dc.subject.classification	Mathematics	en
dc.subject.other	BOUNDARY-VALUE-PROBLEMS	en
dc.subject.other	CONVEX NONLINEARITIES	en
dc.subject.other	DIRICHLET PROBLEMS	en
dc.subject.other	POSITIVE SOLUTIONS	en
dc.subject.other	CRITICAL-POINTS	en
dc.subject.other	P-LAPLACIAN	en
dc.subject.other	EQUATIONS	en
dc.subject.other	CONCAVE	en
dc.subject.other	EXISTENCE	en
dc.subject.other	LINKING	en
dc.title	Multiplicity theorems for semilinear elliptic problems depending on a parameter	en
heal.type	journalArticle	en
heal.identifier.primary	10.1017/S0013091507000665	en
heal.identifier.secondary	http://dx.doi.org/10.1017/S0013091507000665	en
heal.language	English	en
heal.publicationDate	2009	en
heal.abstract	We consider semilinear elliptic problems in which the right-hand-side nonlinearity depends on a parameterλ > 0. Two multiplicity results are presented, guaranteeing the existence of at least three non-trivial solutions for this kind of problem, when the parameter belongs to an interval (0,*). Our approach is based on variational techniques, truncation methods and critical groups. The first result incorporates as a special case problems with concaveconvex nonlinearities, while the second one involves concave nonlinearities perturbed by an asymptotically linear nonlinearity at infinity. © Edinburgh Mathematical Society 2009.	en
heal.publisher	CAMBRIDGE UNIV PRESS	en
heal.journalName	Proceedings of the Edinburgh Mathematical Society	en
dc.identifier.doi	10.1017/S0013091507000665	en
dc.identifier.isi	ISI:000263514300011	en
dc.identifier.volume	52	en
dc.identifier.issue	1	en
dc.identifier.spage	171	en
dc.identifier.epage	180	en