Anisotropic elliptic problems involving Hardy-type potentials

In this paper, we give existence, uniqueness and regularity of the solutions of problems whose prototype is {−ΔHu=λHo(x)2u+f(x)in Ω,u=0on ∂Ω, where Ω is a bounded open set of RN, N>2, and 0∈Ω. Here H is a norm on RN, Ho is its polar and ΔHu=div(H(Du)Hξ(Du)) is the anisotropic Laplacian.