Anisotropic elliptic problems involving Hardy-type potentials

In this paper, we give existence, uniqueness and regularity of the solutions of problems whose prototype is {-Delta(H)u = lambda/H-o(x)(2)u + f(x) in Omega, u = 0 on partial derivative Omega, where Omega is a bounded open set of R-N, N > 2, and 0 is an element of Omega. Here H is a norm on R-N, H-o is its polar and Delta(H)u = div (H(Du)H-xi(Du)) is the anisotropic Laplacian. (c) 2012 Elsevier Inc. All rights reserved.