Three non-trivial solutions for not necessarily coercive p-Laplacian equations

Hu, S; Papageorgiou, NS

dc.contributor.author	Hu, S	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:32:12Z
dc.date.available	2014-03-01T01:32:12Z
dc.date.issued	2009	en
dc.identifier.issn	0013-0915	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/20074
dc.subject	Critical groups	en
dc.subject	Non-trivial solutions	en
dc.subject	Nonlinear regularity	en
dc.subject	P-Laplacian	en
dc.subject	Truncations	en
dc.subject	Upper and lower solutions	en
dc.subject.classification	Mathematics	en
dc.subject.other	LINEAR ELLIPTIC-EQUATIONS	en
dc.subject.other	MULTIPLE SOLUTIONS	en
dc.subject.other	EXISTENCE	en
dc.title	Three non-trivial solutions for not necessarily coercive p-Laplacian equations	en
heal.type	journalArticle	en
heal.identifier.primary	10.1017/S0013091507000879	en
heal.identifier.secondary	http://dx.doi.org/10.1017/S0013091507000879	en
heal.language	English	en
heal.publicationDate	2009	en
heal.abstract	We consider the existence of three non-trivial smooth solutions for nonlinear elliptic problems driven by the p-Laplacian. Using variational arguments, coupled with the method of upper and lower solutions, critical groups and suitable truncation techniques, we produce three non-trivial smooth solutions, two of which have constant sign. The hypotheses incorporate both coercive and non-coercive problems in our framework of analysis. © 2009 Edinburgh Mathematical Society.	en
heal.publisher	CAMBRIDGE UNIV PRESS	en
heal.journalName	Proceedings of the Edinburgh Mathematical Society	en
dc.identifier.doi	10.1017/S0013091507000879	en
dc.identifier.isi	ISI:000271146100009	en
dc.identifier.volume	52	en
dc.identifier.issue	3	en
dc.identifier.spage	679	en
dc.identifier.epage	688	en