Estimates for Blow-Up Solutions to Nonlinear Elliptic Equations with $p$-Growth in the Gradient

Abstract

In this paper we deal with blow-up solutions to p-Laplacian equations with a nonlinear gradient term. We prove comparison results for the solutions in terms of the solutions to suitable symmetrized problems defined in a ball. We analyze two cases where the form of the term which depends on the gradient plays different roles.