Generalized Harnack inequality for semilinear elliptic equations

Vesa Julin

Generalized Harnack inequality for semilinear elliptic equations

Analysis of PDEs 2016-07-28 v2

Authors: Vesa Julin

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.

Keywords

harnack inequality semilinear elliptic equations elliptic partial differential equations

Cite

@article{arxiv.1504.06061,
  title  = {Generalized Harnack inequality for semilinear elliptic equations},
  author = {Vesa Julin},
  journal= {arXiv preprint arXiv:1504.06061},
  year   = {2016}
}

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