Stability of the elliptic Harnack inequality

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.

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