Anisotropic nonlinear Neumann problems

Gasinski, L; Papageorgiou, NS

dc.contributor.author	Gasinski, L	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:35:19Z
dc.date.available	2014-03-01T01:35:19Z
dc.date.issued	2011	en
dc.identifier.issn	0944-2669	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/20992
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.subject.other	LINEAR ELLIPTIC-EQUATIONS	en
dc.subject.other	P-LAPLACIAN EQUATION	en
dc.subject.other	LOCAL MINIMIZERS	en
dc.subject.other	DIFFERENTIAL-EQUATIONS	en
dc.subject.other	MULTIPLE SOLUTIONS	en
dc.subject.other	VARIABLE EXPONENT	en
dc.subject.other	EXISTENCE	en
dc.subject.other	REGULARITY	en
dc.subject.other	SIGN	en
dc.subject.other	FUNCTIONALS	en
dc.title	Anisotropic nonlinear Neumann problems	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s00526-011-0390-2	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s00526-011-0390-2	en
heal.language	English	en
heal.publicationDate	2011	en
heal.abstract	We consider nonlinear Neumann problems driven by the p(z)-Laplacian differential operator and with a p-superlinear reaction which does not satisfy the usual in such cases Ambrosetti-Rabinowitz condition. Combining variational methods with Morse theory, we show that the problem has at least three nontrivial smooth solutions, two of which have constant sign (one positive, the other negative). In the process, we also prove two results of independent interest. The first is about the L∞-boundedness of the weak solutions. The second relates W1,p(z) and C1 local minimizers. © 2011 The Author(s).	en
heal.publisher	SPRINGER	en
heal.journalName	Calculus of Variations and Partial Differential Equations	en
dc.identifier.doi	10.1007/s00526-011-0390-2	en
dc.identifier.isi	ISI:000295740700002	en
dc.identifier.volume	42	en
dc.identifier.issue	3	en
dc.identifier.spage	323	en
dc.identifier.epage	354	en