The influence of the Hardy potential and a Convection Term on a Nonlinear Degenerate Elliptic Equations

Abstract

This paper is devoted to prove existence of renormalized solutions for a class of non--linear degenerate elliptic equations involving a non--linear convection term, which satisfies a growth properties, and a Hardy potential. Additionally, we assume that the right-hand side is an $L^m$ function, with $m\ge 1$.