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.
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页码：527 / 536
页数：10
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