Constant sign and nodal solutions for problems with the p-Laplacian and a nonsmooth potential using variational techniques

Agarwal, RP; Filippakis, ME; O'Regan, D; Papageorgiou, NS

dc.contributor.author	Agarwal, RP	en
dc.contributor.author	Filippakis, ME	en
dc.contributor.author	O'Regan, D	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:30:01Z
dc.date.available	2014-03-01T01:30:01Z
dc.date.issued	2009	en
dc.identifier.issn	1687-2762	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/19453
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.subject.other	NONLINEAR ELLIPTIC-EQUATIONS	en
dc.subject.other	MULTIPLE SOLUTIONS	en
dc.subject.other	CHANGING SOLUTIONS	en
dc.subject.other	SOBOLEV	en
dc.subject.other	CONTINUITY	en
dc.title	Constant sign and nodal solutions for problems with the p-Laplacian and a nonsmooth potential using variational techniques	en
heal.type	journalArticle	en
heal.identifier.primary	10.1155/2009/820237	en
heal.identifier.secondary	http://dx.doi.org/10.1155/2009/820237	en
heal.identifier.secondary	820237	en
heal.language	English	en
heal.publicationDate	2009	en
heal.abstract	We consider a nonlinear elliptic equation driven by the p-Laplacian with a nonsmooth potential (hemivariational inequality) and Dirichlet boundary condition. Using a variational approach based on nonsmooth critical point theory together with the method of upper and lower solutions, we prove the existence of at least three nontrivial smooth solutions: one positive, the second negative, and the third sign changing (nodal solution). Our hypotheses on the nonsmooth potential incorporate in our framework of analysis the so-called asymptotically p-linear problems. Copyright (C) 2009 Ravi P. Agarwal et al.	en
heal.publisher	HINDAWI PUBLISHING CORPORATION	en
heal.journalName	Boundary Value Problems	en
dc.identifier.doi	10.1155/2009/820237	en
dc.identifier.isi	ISI:000267453500001	en
dc.identifier.volume	2009	en
dc.identifier.spage	1	en
dc.identifier.epage	32	en