Boundary Harnack principle on nodal domains

Fanghua Lin; Zhengjiang Lin

doi:10.1007/s11425-022-2016-3

Boundary Harnack principle on nodal domains

Fanghua Lin, Zhengjiang Lin

Mathematics

Research output: Contribution to journal › Article › peer-review

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)
Pages (from-to)	2441-2458
Number of pages	18
Journal	Science China Mathematics
Volume	65
Issue number	12
DOIs	https://doi.org/10.1007/s11425-022-2016-3
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)

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10.1007/s11425-022-2016-3

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title = "Boundary Harnack principle on nodal domains",

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 = "31B25, 35B05, 35B45, Carleson type estimate, boundary Harnack principle, frequency bound, modified Harnack chain, nodal domain",

author = "Fanghua Lin and Zhengjiang Lin",

note = "Funding Information: This work was supported by National Science Foundation of USA (Grant No. DMS 1955249). Publisher Copyright: {\textcopyright} 2022, Science China Press and Springer-Verlag GmbH Germany, part of Springer Nature.",

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doi = "10.1007/s11425-022-2016-3",

language = "English (US)",

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AU - Lin, Zhengjiang

N1 - Funding Information: This work was supported by National Science Foundation of USA (Grant No. DMS 1955249). Publisher Copyright: © 2022, Science China Press and Springer-Verlag GmbH Germany, part of Springer Nature.

PY - 2022/12

Y1 - 2022/12

N2 - 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.

AB - 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.

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KW - 35B45

KW - Carleson type estimate

KW - boundary Harnack principle

KW - frequency bound

KW - modified Harnack chain

KW - nodal domain

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JF - Science China Mathematics

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Boundary Harnack principle on nodal domains

Abstract

Keywords

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