Nontrivial solutions for a class of resonant p-Laplacian Neumann problems

Gasinski, L; Papageorgiou, NS

dc.contributor.author	Gasinski, L	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:31:22Z
dc.date.available	2014-03-01T01:31:22Z
dc.date.issued	2009	en
dc.identifier.issn	0362-546X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/19793
dc.subject	C-condition	en
dc.subject	Linking sets	en
dc.subject	Minimax expression	en
dc.subject	p-Laplacian	en
dc.subject	Resonance	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.subject.other	Critical-point theory	en
dc.subject.other	Differential operators	en
dc.subject.other	Eigen-value	en
dc.subject.other	Linking sets	en
dc.subject.other	Minimax	en
dc.subject.other	Minimax Characterization	en
dc.subject.other	Neumann problem	en
dc.subject.other	Nontrivial solution	en
dc.subject.other	P-Laplacian	en
dc.subject.other	Principal eigenvalues	en
dc.subject.other	Reaction terms	en
dc.subject.other	Strong solution	en
dc.subject.other	Sublinear	en
dc.subject.other	Variational methods	en
dc.subject.other	Differential equations	en
dc.subject.other	Eigenvalues and eigenfunctions	en
dc.subject.other	Equations of state	en
dc.subject.other	Laplace equation	en
dc.subject.other	Laplace transforms	en
dc.subject.other	Mathematical operators	en
dc.subject.other	Resonance	en
dc.subject.other	Nonlinear equations	en
dc.title	Nontrivial solutions for a class of resonant p-Laplacian Neumann problems	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.na.2009.06.039	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.na.2009.06.039	en
heal.language	English	en
heal.publicationDate	2009	en
heal.abstract	We consider a nonlinear Neumann problem driven by the p-Laplacian differential operator with a Caratheodory reaction term. We assume that asymptotically at infinity resonance occurs with respect to the principal eigenvalue lambda(0) = 0 (i.e., the reaction term is p - 1-sublinear near +infinity). Using variational methods based on the critical point theory and an alternative minimax characterization of the first nonzero eigenvalue lambda(1) > 0, we show that the problem has a nontrivial smooth strong solution. (C) 2009 Elsevier Ltd. All rights reserved.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	Nonlinear Analysis, Theory, Methods and Applications	en
dc.identifier.doi	10.1016/j.na.2009.06.039	en
dc.identifier.isi	ISI:000272606300046	en
dc.identifier.volume	71	en
dc.identifier.issue	12	en
dc.identifier.spage	6365	en
dc.identifier.epage	6372	en