Nonlinear Neumann equations driven by a nonhomogeneous differential operator

Hu, S; Papageorgiou, NS

dc.contributor.author	Hu, S	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:36:29Z
dc.date.available	2014-03-01T01:36:29Z
dc.date.issued	2011	en
dc.identifier.issn	1534-0392	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/21309
dc.subject	C-condition	en
dc.subject	Critical group	en
dc.subject	Morse relation	en
dc.subject	Moser iteration method	en
dc.subject	Moun-tain Pass theorem	en
dc.subject	Nonlinear regularity	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.subject.other	LINEAR ELLIPTIC-EQUATIONS	en
dc.subject.other	LAPLACIAN-TYPE EQUATIONS	en
dc.subject.other	P-LAPLACIAN	en
dc.subject.other	MULTIPLE SOLUTIONS	en
dc.subject.other	LOCAL MINIMIZERS	en
dc.subject.other	RESONANCE	en
dc.subject.other	EXISTENCE	en
dc.subject.other	THEOREMS	en
dc.subject.other	SPECTRUM	en
dc.subject.other	FORMULA	en
dc.title	Nonlinear Neumann equations driven by a nonhomogeneous differential operator	en
heal.type	journalArticle	en
heal.identifier.primary	10.3934/cpaa.2011.10.1055	en
heal.identifier.secondary	http://dx.doi.org/10.3934/cpaa.2011.10.1055	en
heal.language	English	en
heal.publicationDate	2011	en
heal.abstract	We consider a nonlinear Neumann problem driven by a nonhomo- geneous nonlinear differential operator and with a reaction which is (p - 1)- superlinear without necessarily satisfying the Ambrosetti-Rabinowitz condi-tion. A particular case of our differential operator is the p-Laplacian. By combining variational methods based on critical point theory with truncation techniques and Morse theory, we show that the problem has at least three non-trivial smooth solutions, two of which have constant sign (one positive and the other negative).	en
heal.publisher	AMER INST MATHEMATICAL SCIENCES	en
heal.journalName	Communications on Pure and Applied Analysis	en
dc.identifier.doi	10.3934/cpaa.2011.10.1055	en
dc.identifier.isi	ISI:000295085400003	en
dc.identifier.volume	10	en
dc.identifier.issue	4	en
dc.identifier.spage	1055	en
dc.identifier.epage	1078	en