Singular nonhomogeneous quasilinear elliptic equations with a convection term

Abstract

In this work we establish existence results for a class of nonhomogeneous and singular quasilinear elliptic equations involving a convection term. The gradient term makes the problem non variational, and in addition to this difficulty we have to handle the singular term with a sign changing nonlinearity. The proof of the results are made combining the sub-super solution method, fixed point theorem, Leray–Schauder degree theory and comparison theorems.