Prescription of finite Dirichlet eigenvalues and area on surface with boundary

被引：1

作者：

He, Xiang ^{[1
]}

机构：

[1] Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Peoples R China

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2024年 / 198卷

基金：

中国国家自然科学基金;

关键词：

Dirichlet eigenvalues; Prescription of eigenvalues; Stability of eigenvalues; ISOPERIMETRIC INEQUALITY; 1ST EIGENVALUE; MULTIPLICITY; LAPLACIAN; OPERATOR;

D O I：

10.1016/j.geomphys.2024.105100

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper, we consider Dirichlet Laplacian on compact surface. We show that for a fixed surface with boundary X, a finite increasing sequence of real numbers 0 < a1 < a2 < center dot center dot center dot < aN and a positive number A, there exists a metric g on X such that for any integer 1 < k < N, we have lambda Dk (X, g) = ak and Area(X, g) = A. (c) 2024 Elsevier B.V. All rights reserved.

引用

页数：12

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