Nodal and multiple constant sign solutions for resonant p-Laplacian equations with a nonsmooth potential

Gasinski, L; Papageorgiou, NS

dc.contributor.author	Gasinski, L	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:31:20Z
dc.date.available	2014-03-01T01:31:20Z
dc.date.issued	2009	en
dc.identifier.issn	0362-546X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/19782
dc.subject	Generalized subdifferential	en
dc.subject	Linking sets	en
dc.subject	Nodal solutions	en
dc.subject	p-Laplacian	en
dc.subject	Second deformation theorem	en
dc.subject	Second eigenvalue	en
dc.subject	Upper-lower solutions	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.subject.other	Generalized subdifferential	en
dc.subject.other	Linking sets	en
dc.subject.other	Nodal solutions	en
dc.subject.other	p-Laplacian	en
dc.subject.other	Second deformation theorem	en
dc.subject.other	Second eigenvalue	en
dc.subject.other	Upper-lower solutions	en
dc.subject.other	Deformation	en
dc.subject.other	Differential equations	en
dc.subject.other	Laplace transforms	en
dc.subject.other	Nonlinear equations	en
dc.subject.other	Variational techniques	en
dc.subject.other	Eigenvalues and eigenfunctions	en
dc.title	Nodal and multiple constant sign solutions for resonant p-Laplacian equations with a nonsmooth potential	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.na.2009.04.063	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.na.2009.04.063	en
heal.language	English	en
heal.publicationDate	2009	en
heal.abstract	In this paper we study a nonlinear Dirichlet elliptic differential equation driven by the p-Laplacian and with a nonsmooth potential (hemivariational inequality). Using a variational approach combined with suitable truncation techniques and the method of upper-lower solutions, we prove the existence of five nontrivial smooth solutions, two positive, two negative and the fifth nodal. Our hypotheses on the nonsmooth potential allow resonance at infinity with respect to the principal eigenvalue lambda(1) > 0 of (-Delta(p), W-0(1,p)(Z)). (C) 2009 Elsevier Ltd. All rights reserved.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	Nonlinear Analysis, Theory, Methods and Applications	en
dc.identifier.doi	10.1016/j.na.2009.04.063	en
dc.identifier.isi	ISI:000270609500062	en
dc.identifier.volume	71	en
dc.identifier.issue	11	en
dc.identifier.spage	5747	en
dc.identifier.epage	5772	en