Stability of the elliptic Harnack inequality


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.


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