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

Mihai Mihăilescu

doi:10.1155/BVP/2006/41295

Research Article | Open | Published: 07 February 2006

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

Mihai Mihăilescu¹

Boundary Value Problemsvolume 2006, Article number: 41295 (2006) | Download Citation

Abstract

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.

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