Harnack inequality for non-divergence structure semi-linear elliptic equations

Harnack inequality for non-divergence structure semi-linear elliptic equations

In this paper we establish a Harnack inequality for non-negative solutions of L⁢u=f⁢(u){Lu=f(u)} where L is a non-divergence structure uniformly elliptic operator and f is a non-decreasing function that satisfies an appropriate growth conditions at infinity.

Bibliographic Details
Main Authors: Mohammed Ahmed, Porru Giovanni
Format: Article
Language:English
Published: De Gruyter 2018-08-01
Series:Advances in Nonlinear Analysis
Subjects:
non-divergence structure elliptic operator
harnack inequality
large solution, alexandroff–bakelman–pucci maximum principle
Online Access:https://doi.org/10.1515/anona-2016-0050

Internet

https://doi.org/10.1515/anona-2016-0050

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