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

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 RN. The solutions will be obtained in a subspace of the Sobolev space W1/p(RN). The proofs rely essentially on the Mountain Pass the...

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Bibliographic Details
Main Author: Mihai Mihăilescu
Format: Article
Language:English
Published: SpringerOpen 2006-02-01
Series:Boundary Value Problems
Online Access:http://dx.doi.org/10.1155/BVP/2006/41295