Existence of five nonzero solutions with exact sign for A p-laplacian equation

Filippakis, M; Kristaly, A; Papageorgiou, NS

dc.contributor.author	Filippakis, M	en
dc.contributor.author	Kristaly, A	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:30:27Z
dc.date.available	2014-03-01T01:30:27Z
dc.date.issued	2009	en
dc.identifier.issn	1078-0947	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/19589
dc.subject	Multiple solutions	en
dc.subject	Nodal solution	en
dc.subject	Non-smooth critical point theory	en
dc.subject	p-laplacian	en
dc.subject	Positive solution	en
dc.subject	Upper-lower solutions	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.subject.other	BOUNDARY-VALUE-PROBLEMS	en
dc.subject.other	LINEAR ELLIPTIC-EQUATIONS	en
dc.subject.other	MULTIPLE SOLUTIONS	en
dc.subject.other	POSITIVE SOLUTIONS	en
dc.subject.other	CONVEX NONLINEARITIES	en
dc.subject.other	EIGENVALUE PROBLEMS	en
dc.subject.other	DIRICHLET PROBLEMS	en
dc.subject.other	LOCAL MINIMIZERS	en
dc.subject.other	FUCIK SPECTRUM	en
dc.subject.other	RESONANCE	en
dc.title	Existence of five nonzero solutions with exact sign for A p-laplacian equation	en
heal.type	journalArticle	en
heal.identifier.primary	10.3934/dcds.2009.24.405	en
heal.identifier.secondary	http://dx.doi.org/10.3934/dcds.2009.24.405	en
heal.language	English	en
heal.publicationDate	2009	en
heal.abstract	We consider nonlinear elliptic problems driven by the p-Laplacian with a nonsmooth potential depending on a parameter lambda > 0. The main result guarantees the existence of two positive, two negative and a nodal (sign-changing) solution for the studied problem whenever lambda belongs to a small interval (0, lambda*) and p >= 2. We do not impose any symmetry hypothesis on the nonlinear potential. The constant-sign solutions are obtained by using variational techniques based on nonsmooth critical point theory (minimization argument, Mountain Pass theorem, and a Brezis-Nirenberg type result for C-1-minimizers), while the nodal solution is constructed by an upper-lower solutions argument combined with the Zorn lemma and a nonsmooth second deformation theorem.	en
heal.publisher	AMER INST MATHEMATICAL SCIENCES	en
heal.journalName	Discrete and Continuous Dynamical Systems	en
dc.identifier.doi	10.3934/dcds.2009.24.405	en
dc.identifier.isi	ISI:000265190500008	en
dc.identifier.volume	24	en
dc.identifier.issue	2	en
dc.identifier.spage	405	en
dc.identifier.epage	440	en