Boundary Harnack Principle on Nodal Domains

2021/06/16 by Fanghua Lin, Lin, Fanghua, Zhengjiang Lin +1 · 2 citations
Mathematics · #Advanced Harmonic Analysis Research #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.2106.08524

openalex publication_date 2021/06/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Cited by

• Nadirashvili' Conjecture for Elliptic PDEs and its Applications
• A priori Hölder estimates for equations degenerating on nodal sets

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