Generalized Harnack inequality for semilinear elliptic equations

Vesa Julin

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arXiv · 1504.06061

Generalized Harnack inequality for semilinear elliptic equations

Vesa Julin

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Abstract

This paper is concerned with semilinear equations in divergence form \[ \diver(A(x)Du) = f(u) \] where $f :\R \to [0,\infty)$ 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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Vesa Julin. 2016-07-27. Generalized Harnack inequality for semilinear elliptic equations. https://arxiv.org/abs/1504.06061

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