Positive periodic and homoclinic solutions for nonlinear differential equations with nonsmooth potential

Shouchuan, HU; Papageorgiou, NS

dc.contributor.author	Shouchuan, HU	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:24:52Z
dc.date.available	2014-03-01T01:24:52Z
dc.date.issued	2006	en
dc.identifier.issn	1385-1292	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/17477
dc.subject	Homoclinics	en
dc.subject	Mountain Pass lemma	en
dc.subject	Nonsmooth critical point theory	en
dc.subject	Ordinary p-Laplacian	en
dc.subject	Subdifferentials	en
dc.subject.classification	Mathematics	en
dc.subject.other	CRITICAL-POINT THEORY	en
dc.subject.other	ELLIPTIC-EQUATIONS	en
dc.subject.other	HAMILTONIAN-SYSTEMS	en
dc.subject.other	EXISTENCE	en
dc.subject.other	MULTIPLICITY	en
dc.subject.other	ORBITS	en
dc.title	Positive periodic and homoclinic solutions for nonlinear differential equations with nonsmooth potential	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s11117-005-0028-8	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s11117-005-0028-8	en
heal.language	English	en
heal.publicationDate	2006	en
heal.abstract	We study the existence of positive solutions and of positive homoclinic (to zero) solutions for a class of periodic problems driven by the scalar ordinary p-Laplacian and having a nonsmooth potential. Our approach is variational based on the nonsmooth critical point theory and our results extend the recent works of Korman-Lazer (Electronic JDE (1994)) and of Grossinho-Minhos-Tersian (J. Math. Anal. Appl. 240 (1999)).	en
heal.publisher	SPRINGER	en
heal.journalName	Positivity	en
dc.identifier.doi	10.1007/s11117-005-0028-8	en
dc.identifier.isi	ISI:000237563100009	en
dc.identifier.volume	10	en
dc.identifier.issue	2	en
dc.identifier.spage	343	en
dc.identifier.epage	363	en