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.

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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