Extremal eigenvalues of the Laplacian on Euclidean domains and closed surfaces

被引：0

作者：

Bruno Colbois

Ahmad El Soufi

机构：

[1] Université de Neuchâtel,Laboratoire de Mathématiques

[2] Université de Tours,Laboratoire de Mathématiques et Physique Théorique, UMR

来源：

Mathematische Zeitschrift | 2014年 / 278卷

关键词：

Laplacian eigenvalues; Extremal eigenvalues; Spectral geometry; Closed surfaces; 35P15; 58J50; 58E11;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We investigate properties of the sequences of extremal values that could be achieved by the eigenvalues of the Laplacian on Euclidean domains of unit volume, under Dirichlet and Neumann boundary conditions, respectively. In a second part, we study sequences of extremal eigenvalues of the Laplace–Beltrami operator on closed surfaces of unit area.

引用

页码：529 / 546

页数：17

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