A remark on existence and optimal summability of solutions of elliptic problems involving Hardy potential

Abstract

We study the effect of a zero order term on existence and optimal summability of solutions to the elliptic problem -div(M(x)∇u)- au/|x| 2 = f in Ω, u = 0 on ∂Ω, with respect to the summability of f and the value of the parameter a. Here Ω is a bounded domain in ℝN containing the origin.