Boundary blow-up quasilinear elliptic problems with nonlinear gradient terms

Abstract

In this article, by Karamata regular variation theory and perturbation method, we show the asymptotic behaviour near the boundary of solutions to quasilinear elliptic problem where Ω is a C 2 bounded domain with smooth boundary in R N (N ≥ 2), m ≥ 2, q ≥ 0. g and b satisfy some conditions stated below.