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.
Original language | English (US) |
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Pages (from-to) | 2441-2458 |
Number of pages | 18 |
Journal | Science China Mathematics |
Volume | 65 |
Issue number | 12 |
DOIs | |
State | Published - Dec 2022 |
Keywords
- 31B25
- 35B05
- 35B45
- Carleson type estimate
- boundary Harnack principle
- frequency bound
- modified Harnack chain
- nodal domain
ASJC Scopus subject areas
- Mathematics(all)