Open Access

Existence and multiplicity of weak solutions for a class of degenerate nonlinear elliptic equations

Boundary Value Problems20062006:41295

DOI: 10.1155/BVP/2006/41295

Received: 11 January 2005

Accepted: 17 July 2005

Published: 7 February 2006


The goal of this paper is to study the existence and the multiplicity of non-trivial weak solutions for some degenerate nonlinear elliptic equations on the whole space . The solutions will be obtained in a subspace of the Sobolev space . The proofs rely essentially on the Mountain Pass theorem and on Ekeland's Variational principle.


Authors’ Affiliations

Department of Mathematics, University of Craiova


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© Mihăilescu 2006

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