Multiple constant sign and nodal solutions for nonlinear elliptic equations with the p-Laplacian

Filippakis, ME; Papageorgiou, NS

dc.contributor.author	Filippakis, ME	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:28:48Z
dc.date.available	2014-03-01T01:28:48Z
dc.date.issued	2008	en
dc.identifier.issn	0022-0396	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/18980
dc.subject	Concave-convex nonlinearity	en
dc.subject	Constant sign solutions	en
dc.subject	Nodal solutions	en
dc.subject	p-Laplacian	en
dc.subject	Second deformation theorem	en
dc.subject	Truncated functional	en
dc.subject	Upper-lower solution	en
dc.subject.classification	Mathematics	en
dc.subject.other	PRINCIPLE	en
dc.subject.other	SOBOLEV	en
dc.subject.other	EXISTENCE	en
dc.subject.other	EXPONENTS	en
dc.title	Multiple constant sign and nodal solutions for nonlinear elliptic equations with the p-Laplacian	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.jde.2008.07.004	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.jde.2008.07.004	en
heal.language	English	en
heal.publicationDate	2008	en
heal.abstract	We consider a nonlinear elliptic equation driven by the p-Laplacian with Dirichlet boundary conditions. Using variational techniques combined with the method of upper-lower solutions and suitable truncation arguments, we establish the existence of at least five nontrivial solutions. Two positive, two negative and a nodal (sign-changing) solution. Our framework of analysis incorporates both coercive and p-superlinear problems. Also the result on multiple constant sign solutions incorporates the case of concave-convex nonlinearities. (C) 2008 Elsevier Inc. All rights reserved.	en
heal.publisher	ACADEMIC PRESS INC ELSEVIER SCIENCE	en
heal.journalName	Journal of Differential Equations	en
dc.identifier.doi	10.1016/j.jde.2008.07.004	en
dc.identifier.isi	ISI:000259127700008	en
dc.identifier.volume	245	en
dc.identifier.issue	7	en
dc.identifier.spage	1883	en
dc.identifier.epage	1922	en