Nonlinear Elliptic Equations with Singular Terms and Combined Nonlinearities

Gasinski, L; Papageorgiou, NS

dc.contributor.author	Gasinski, L	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T02:11:32Z
dc.date.available	2014-03-01T02:11:32Z
dc.date.issued	2012	en
dc.identifier.issn	14240637	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/29935
dc.title	Nonlinear Elliptic Equations with Singular Terms and Combined Nonlinearities	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s00023-011-0129-9	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s00023-011-0129-9	en
heal.publicationDate	2012	en
heal.abstract	We consider nonlinear elliptic Dirichlet problems with a singular term, a concave (i. e., (p - 1)-sublinear) term and a Carathéodory perturbation. We study the cases where the Carathéodory perturbation is (p - 1)-linear and (p - 1)-superlinear near +∞. Using variational techniques based on the critical point theory together with truncation arguments and the method of upper and lower solutions, we show that if the L∞-coefficient of the concave term is small enough, the problem has at least two nontrivial smooth solutions. © 2011 The Author(s).	en
heal.journalName	Annales Henri Poincare	en
dc.identifier.doi	10.1007/s00023-011-0129-9	en
dc.identifier.volume	13	en
dc.identifier.issue	3	en
dc.identifier.spage	481	en
dc.identifier.epage	512	en