Stability of 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

Department of Mathematics, University of British Columbia, Vancouver, BC V6T 1Z2, Canada

Mathav Murugan

Department of Mathematics, University of British Columbia, and Pacific Institute for the Mathematical Sciences, Vancouver, BC V6T 1Z2, Canada