Generalized Harnack inequality for semilinear elliptic equations

2015/04/23 by Julin, Vesa · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1504.06061

Abstract

This paper is concerned with semilinear equations in divergence form \diver(A(x)Du) = f(u) where f :\R → [0,∞) is nondecreasing. We prove a sharp Harnack type inequality for nonnegative solutions which is closely connected to the classical Keller-Osserman condition for the existence of entire solutions.

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• Keller-Osserman and Harnack type results for nonlinear elliptic PDE with unbounded ingredients

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