Dirichlet Problems with an Indefinite and Unbounded Potential and Concave-Convex Nonlinearities

We consider a parametric semilinear Dirichlet problem with an unbounded and indefinite potential. In the reaction we have the competing effects of a sublinear (concave) term and of a superlinear (convex) term. Using variational methods coupled with suitable truncation techniques, we prove two multip...

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Bibliographic Details
Main Authors: Leszek Gasiński, Nikolaos S. Papageorgiou
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/492025