English

Boundary Harnack Principle on Nodal Domains

Analysis of PDEs 2022-05-03 v2

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.

Keywords

Cite

@article{arxiv.2106.08524,
  title  = {Boundary Harnack Principle on Nodal Domains},
  author = {Fanghua Lin and Zhengjiang Lin},
  journal= {arXiv preprint arXiv:2106.08524},
  year   = {2022}
}

Comments

23 pages; Some adjustments in introduction. Results are same