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On the isoperimetric inequality for the buckling of a clamped plate
被引：23
作者：
S. Ashbaugh
Dorin Bucur
机构：
[1] Department of Mathematics,
[2] University of Missouri,undefined
[3] Département de Mathématiques,undefined
[4] Université de Metz,undefined
来源：
Zeitschrift für angewandte Mathematik und Physik ZAMP
|
2003年
/
54卷
/
5期
关键词：
49Q10;
Buckling load;
Clamped plate;
Isoperimetric inequality;
D O I：
10.1007/s00033-003-3204-3
中图分类号：
学科分类号：
摘要：
In two dimensions, we prove the existence of a domain
minimizing the buckling load of a clamped plate among all domains
of given measure. In order to prove that the optimal set is the
disk, we discuss possible ways of applying an idea of Willms and
Weinberger if the regularity of the optimal set is not a priori
assumed.
引用
收藏
页码：756 / 770
页数：14
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