Multiple solutions for nonlinear Neumann problems with the p-Laplacian and a nonsmooth crossing potential

Papageorgiou, NS; Smyrlis, G

dc.contributor.author	Papageorgiou, NS	en
dc.contributor.author	Smyrlis, G	en
dc.date.accessioned	2014-03-01T01:33:47Z
dc.date.available	2014-03-01T01:33:47Z
dc.date.issued	2010	en
dc.identifier.issn	0951-7715	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/20599
dc.subject	Multiple Solution	en
dc.subject	Neumann Problem	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Physics, Mathematical	en
dc.subject.other	ELLIPTIC-EQUATIONS	en
dc.subject.other	CRITICAL-POINTS	en
dc.subject.other	EXISTENCE	en
dc.subject.other	PRINCIPLE	en
dc.subject.other	FORMULA	en
dc.title	Multiple solutions for nonlinear Neumann problems with the p-Laplacian and a nonsmooth crossing potential	en
heal.type	journalArticle	en
heal.identifier.primary	10.1088/0951-7715/23/3/005	en
heal.identifier.secondary	http://dx.doi.org/10.1088/0951-7715/23/3/005	en
heal.language	English	en
heal.publicationDate	2010	en
heal.abstract	We consider a nonlinear Neumann problem driven by the p-Laplace differential operator and with a nonsmooth locally Lipschitz potential (hemivariational inequality). We assume that the potential is asymptotically p-linear and crossing. Combining the nonsmooth critical point theory with suitable truncation and perturbation techniques, we show that the problem has at least two nontrivial smooth solutions, of which one is strictly positive. © 2010 IOP Publishing Ltd and London Mathematical Society.	en
heal.publisher	IOP PUBLISHING LTD	en
heal.journalName	Nonlinearity	en
dc.identifier.doi	10.1088/0951-7715/23/3/005	en
dc.identifier.isi	ISI:000274429900005	en
dc.identifier.volume	23	en
dc.identifier.issue	3	en
dc.identifier.spage	529	en
dc.identifier.epage	548	en