Solutions for doubly resonant nonlinear non-smooth periodic problems

Kyritsi, STh; Papageorgiou, NS

dc.contributor.author	Kyritsi, STh	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:23:05Z
dc.date.available	2014-03-01T01:23:05Z
dc.date.issued	2005	en
dc.identifier.issn	0013-0915	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/16807
dc.subject	Double resonance	en
dc.subject	Linking sets	en
dc.subject	Minimax principle	en
dc.subject	Non-smooth critical-point theory	en
dc.subject	Non-smooth PS-condition	en
dc.subject	p-laplacian	en
dc.subject.classification	Mathematics	en
dc.subject.other	BOUNDARY-VALUE-PROBLEMS	en
dc.subject.other	CRITICAL-POINT THEORY	en
dc.subject.other	DIFFERENTIAL-EQUATIONS	en
dc.subject.other	NONRESONANCE	en
dc.title	Solutions for doubly resonant nonlinear non-smooth periodic problems	en
heal.type	journalArticle	en
heal.identifier.primary	10.1017/S0013091504000264	en
heal.identifier.secondary	http://dx.doi.org/10.1017/S0013091504000264	en
heal.language	English	en
heal.publicationDate	2005	en
heal.abstract	We study a nonlinear second-order periodic problem driven by the scalar p-Laplacian with a non-smooth potential. We consider the so-called doubly resonant situation allowing complete interaction (resonance) with both ends of the spectral interval. Using variational methods based on the non-smooth critical-point theory for locally Lipschitz functions and an abstract minimax principle concerning linking sets we establish the solvability of the problem.	en
heal.publisher	CAMBRIDGE UNIV PRESS	en
heal.journalName	Proceedings of the Edinburgh Mathematical Society	en
dc.identifier.doi	10.1017/S0013091504000264	en
dc.identifier.isi	ISI:000227426400012	en
dc.identifier.volume	48	en
dc.identifier.issue	1	en
dc.identifier.spage	199	en
dc.identifier.epage	211	en