The fundamental gap of a kind of sub-elliptic operator

被引：1

作者：

Sun, Hongli ^{[1
]}

Yang, Donghui ^{[1
]}

机构：

[1] Cent South Univ, Sch Math & Stat, Changsha 410083, Peoples R China

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2023年 / 153卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Fundamental gap; sub-elliptic operator; weak solution; optimal function; 1ST; 2; EIGENVALUES; SCHRODINGER-OPERATORS; DIRICHLET PROBLEMS; SOBOLEV SPACES; WEAK SOLUTIONS; DEGENERATE; INEQUALITY; REGULARITY; MAXIMUM;

D O I：

10.1017/prm.2022.34

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper the minimum fundamental gap of a kind of sub-elliptic operator is concerned, we deal with the existence and uniqueness of weak solution for that. We verify that the minimization fundamental gap problem can be achieved by some function, and characterize the optimal function by adopting the differential of eigenvalues.

引用

页码：1118 / 1149

页数：32

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