paper

Boundary Harnack Principle on Nodal Domains

arXiv:2106.08524

Abstract

We study some geometric and potential theoretic properties of nodal domains of solutions to certain uniformly elliptic equations. In particular, we establish corkscrew conditions, Carleson type estimates and boundary Harnack inequalities on a class of nodal domains.

23 pages; Some adjustments in introduction. Results are same