Bifurcation-type results for nonlinear parametric elliptic equations

Gasinki, L; Papageorgiou, NS

dc.contributor.author	Gasinki, L	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T02:08:00Z
dc.date.available	2014-03-01T02:08:00Z
dc.date.issued	2012	en
dc.identifier.issn	03082105	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/29625
dc.title	Bifurcation-type results for nonlinear parametric elliptic equations	en
heal.type	journalArticle	en
heal.identifier.primary	10.1017/S0308210511000126	en
heal.identifier.secondary	http://dx.doi.org/10.1017/S0308210511000126	en
heal.publicationDate	2012	en
heal.abstract	We consider the nonlinear elliptic equation driven by the p-Laplacian and with a Carathéodory reaction depending on a parameter 0, looking for positive solutions. We prove two bifurcation-type results. In the first the bifurcation occurs near 0 (for small values of 0) and our setting incorporates problems with the combined effects of concave and convex nonlinearities. In the second, the bifurcation occurs near (for large values of 0) and our setting incorporates as a special case p-logistic equations with superdiffusive reaction. Our approach is variational, based on minimax methods and truncation techniques. © Royal Society of Edinburgh 2012.	en
heal.journalName	Proceedings of the Royal Society of Edinburgh Section A: Mathematics	en
dc.identifier.doi	10.1017/S0308210511000126	en
dc.identifier.volume	142	en
dc.identifier.issue	3	en
dc.identifier.spage	595	en
dc.identifier.epage	623	en