%0 Journal Article %T Existence and multiplicity of weak solutions for a class of degenerate nonlinear elliptic equations %A Mihai Mih£¿ilescu %J Boundary Value Problems %D 2006 %I Springer %R 10.1155/bvp/2006/41295 %X 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 theorem and on Ekeland's Variational principle. %U http://dx.doi.org/10.1155/BVP/2006/41295