Harnack inequality for quasilinear elliptic equations with (p,q) growth conditions and absorption lower order term

In this article we study the quasilinear elliptic equation with absorption lower term $$ -\hbox{div} \Big(g(|\nabla u|)\frac{\nabla u}{|\nabla u|}\Big)+f(u)= 0, \quad u\geq 0. $$ Despite of the lack of comparison principle, we prove a priori estimate of Keller-Osserman type. Particularly, und...

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Bibliographic Details
Main Author: Kateryna Buryachenko
Format: Article
Language:English
Published: Texas State University 2018-04-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2018/91/abstr.html