Nonhomogeneous Nonlinear Dirichlet Problems with a p-Superlinear Reaction

We consider a nonlinear Dirichlet elliptic equation driven by a nonhomogeneous differential operator and with a Carathéodory reaction f(z,ζ), whose primitive f(z,ζ) is p-superlinear near ±∞, but need not satisfy the usual in such cases, the Ambrosetti-Rabinowitz condition. Using a combination of var...

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Bibliographic Details
Main Authors: Leszek Gasiński, Nikolaos S. Papageorgiou
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/918271
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