QUASILINEAR ELLIPTIC PROBLEM WITH HARDY POTENTIAL AND SINGULAR TERM

Abstract

We consider the following quasilinear elliptic problem-Delta(p)u = lambda u(p-1)/vertical bar x vertical bar p + h/u(gamma) in Omega,where 1 < p < N, Omega subset of R-N is a bounded regular domain such that 0 is an element of Omega, gamma > 0 and h is a nonnegative measurable function with suitable hypotheses.The main goal of this work is to analyze the interaction between the Hardy potential and the singular term u(-gamma) in order to get a solution for the largest possible class of the datum h. The regularity of the solution is also analyzed.