On p-superlinear equations with a nonhomogeneous differential operator

Aizicovici, S; Papageorgiou, NS; Staicu, V

dc.contributor.author	Aizicovici, S	en
dc.contributor.author	Papageorgiou, NS	en
dc.contributor.author	Staicu, V	en
dc.date.accessioned	2014-03-01T11:47:07Z
dc.date.available	2014-03-01T11:47:07Z
dc.date.issued	2012	en
dc.identifier.issn	10219722	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/38088
dc.subject	Mathematics Subject Classification (2000): 35J20, 35J60	en
dc.title	On p-superlinear equations with a nonhomogeneous differential operator	en
heal.type	other	en
heal.identifier.primary	10.1007/s00030-012-0187-9	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s00030-012-0187-9	en
heal.publicationDate	2012	en
heal.abstract	We consider a nonlinear elliptic equation driven by a nonhomogeneous differential operator and with a (p-1)-superlinear Carathéodory reaction. Our formulation incorporates as a special case equations monitored by the p-Laplacian. Using variational methods coupled with truncation techniques and comparison principles, we show that the problem has at least five nontrivial smooth solutions. © 2012 Springer Basel AG.	en
heal.journalName	Nonlinear Differential Equations and Applications	en
dc.identifier.doi	10.1007/s00030-012-0187-9	en
dc.identifier.spage	1	en
dc.identifier.epage	25	en