A multiplicity theorem for a variable exponent Dirichlet problem

Papageorgiou, NS; Rocha, EM

dc.contributor.author	Papageorgiou, NS	en
dc.contributor.author	Rocha, EM	en
dc.date.accessioned	2014-03-01T01:27:42Z
dc.date.available	2014-03-01T01:27:42Z
dc.date.issued	2008	en
dc.identifier.issn	0017-0895	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/18554
dc.subject	Dirichlet Problem	en
dc.subject	Variable Exponent	en
dc.subject.classification	Mathematics	en
dc.subject.other	P-LAPLACIAN EQUATION	en
dc.subject.other	ELLIPTIC-EQUATIONS	en
dc.subject.other	EXISTENCE	en
dc.subject.other	REGULARITY	en
dc.title	A multiplicity theorem for a variable exponent Dirichlet problem	en
heal.type	journalArticle	en
heal.identifier.primary	10.1017/S0017089508004242	en
heal.identifier.secondary	http://dx.doi.org/10.1017/S0017089508004242	en
heal.language	English	en
heal.publicationDate	2008	en
heal.abstract	We consider a nonlinear Dirichlet problem driven by the p()-Laplacian. Using variational methods based on the critical point theory, together with suitable truncation techniques and the use of upper-lower solutions and of critical groups, we show that the problem has at least three nontrivial solutions, two of which have constant sign (one positive, the other negative). The hypotheses on the nonlinearity incorporates in our framework of analysis, both coercive and noncoercive problems. © 2008 Glasgow Mathematical Journal Trust.	en
heal.publisher	CAMBRIDGE UNIV PRESS	en
heal.journalName	Glasgow Mathematical Journal	en
dc.identifier.doi	10.1017/S0017089508004242	en
dc.identifier.isi	ISI:000256575500013	en
dc.identifier.volume	50	en
dc.identifier.issue	2	en
dc.identifier.spage	335	en
dc.identifier.epage	349	en