Nonhomogeneous degenerate quasilinear problems with convection

Abstract

The aim of the paper is to study a Dirichlet problem whose equation is driven by a degenerate p-Laplacian with a weight depending on the solution and whose reaction is a convection term, thus depending on the solution and its gradient. The existence of a weak solution is proven by arguing through a truncated auxiliary problem. A major part of the proof consists in showing that the solutions are bounded. (c) 2022 Elsevier Ltd. All rights reserved.