On the attainable eigenvalues of the Laplace operator

被引：33

作者：

Bucur, D

Buttazzo, G

Figueiredo, I

机构：

[1] Univ Franche Comte, CNRS, Equipe Math, F-25030 Besancon, France

[2] Univ Pisa, Dipartimento Matemat, I-56127 Pisa, Italy

[3] Univ Coimbra, Dept Matemat, P-3000 Coimbra, Portugal

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 1999年 / 30卷 / 03期

关键词：

shape optimization; eigenvalues; Dirichlet-Laplace operator;

D O I：

10.1137/S0036141097329135

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the subset E of R-2 of all points whose first and second components, respectively, coincide with the first and second eigenvalues of the Laplace operator ? Delta with zero boundary conditions on domains of R-N with prescribed measure. We show that the set E is closed in R-2.

引用

页码：527 / 536

页数：10

共 19 条

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[Anonymous], WEAKLY DIFFERENTIABL

[2] PROOF OF THE PAYNE-POLYA-WEINBERGER CONJECTURE [J].