Stability of the elliptic Harnack inequality

Pages 777-823 from Volume 187 (2018), Issue 3 by Martin T. Barlow, Mathav Murugan

Abstract

We prove that the elliptic Harnack inequality (on a manifold, graph, or suitably regular metric measure space) is stable under bounded perturbations, as well as rough isometries.

Keywords
, , , ,
DOI
https://doi.org/10.4007/annals.2018.187.3.4
MR
3779958
Milestones
Received: 16 October 2016
Accepted: 29 September 2017
Published online: 27 March 2018

Authors

Martin T. Barlow

University of British Columbia, Vancouver, BC, Canada

Mathav Murugan

University of British Columbia and Pacific Institute for the Mathematical Sciences, Vancouver, BC, Canada