Boundary Harnack principle on nodal domains

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Fang-Hua Lin, Zhengjiang Lin

Published: 21 Sept 2022, Last Modified: 13 May 2024Science China MathematicsEveryoneRevisionsCC BY-NC-ND 4.0
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.