On the existence of multiple periodic solutions for equations driven by the p-Laplacian and with a non-smooth potential

Gasinski, L; Papageorgiou, NS

dc.contributor.author	Gasinski, L	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T02:42:18Z
dc.date.available	2014-03-01T02:42:18Z
dc.date.issued	2003	en
dc.identifier.issn	0013-0915	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/30929
dc.subject	Clarke subdifferential	en
dc.subject	Coercive functional	en
dc.subject	Local linking	en
dc.subject	Locally Lipschitz functional	en
dc.subject	Non-smooth critical-point theory	en
dc.subject	Non-smooth Palais-Smale condition	en
dc.subject.classification	Mathematics	en
dc.title	On the existence of multiple periodic solutions for equations driven by the p-Laplacian and with a non-smooth potential	en
heal.type	conferenceItem	en
heal.identifier.primary	10.1017/S0013091502000159	en
heal.identifier.secondary	http://dx.doi.org/10.1017/S0013091502000159	en
heal.language	English	en
heal.publicationDate	2003	en
heal.abstract	In this paper we examine periodic problems driven by the scalar p-Laplacian. Using non-smooth critical-point theory and a recent multiplicity result based on local linking (the original smooth version is due to Brezis and Nirenberg), we prove three multiplicity results, the third for semilinear problems with resonance at zero. We also study a quasilinear periodic eigenvalue problem with the parameter near resonance. We prove the existence of three distinct solutions, extending in this way a semilinear and smooth result of Mawhin and Schmitt.	en
heal.publisher	CAMBRIDGE UNIV PRESS	en
heal.journalName	Proceedings of the Edinburgh Mathematical Society	en
dc.identifier.doi	10.1017/S0013091502000159	en
dc.identifier.isi	ISI:000183535600016	en
dc.identifier.volume	46	en
dc.identifier.issue	1	en
dc.identifier.spage	229	en
dc.identifier.epage	249	en