Multiple Solutions for Nonlinear Coercive Problems with a Nonhomogeneous Differential Operator and a Nonsmooth Potential

Gasinski, L; Papageorgiou, NS

dc.contributor.author	Gasinski, L	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T02:11:28Z
dc.date.available	2014-03-01T02:11:28Z
dc.date.issued	2012	en
dc.identifier.issn	09276947	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/29915
dc.subject	Generalized subdifferential	en
dc.subject	Locally Lipschitz function	en
dc.subject	Mountain pass theorem	en
dc.subject	Nodal solutions	en
dc.subject	Palais-Smale condition	en
dc.subject	Second deformation theorem	en
dc.title	Multiple Solutions for Nonlinear Coercive Problems with a Nonhomogeneous Differential Operator and a Nonsmooth Potential	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s11228-011-0198-4	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s11228-011-0198-4	en
heal.publicationDate	2012	en
heal.abstract	We consider a nonlinear elliptic problem driven by a nonlinear nonhomogeneous differential operator and a nonsmooth potential. We prove two multiplicity theorems for problems with coercive energy functional. In both theorems we produce three nontrivial smooth solutions. In the second multiplicity theorem, we provide precise sign information for all three solutions (the first positive, the second negative and the third nodal). Out approach is variational, based on the nonsmooth critical point theory. We also prove an auxiliary result relating smooth and Sobolev local minimizer for a large class of locally Lipschitz functionals. © 2011 The Author(s).	en
heal.journalName	Set-Valued and Variational Analysis	en
dc.identifier.doi	10.1007/s11228-011-0198-4	en
dc.identifier.volume	20	en
dc.identifier.issue	3	en
dc.identifier.spage	417	en
dc.identifier.epage	443	en