On the optimal domain for minimizing the buckling load of a clamped plate

被引：3
|
作者：
Stollenwerk, Kathrin [1 ]
机构：
[1] Rhein Westfal TH Aachen, Inst Math, Templergraben 55, D-52062 Aachen, Germany
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2023年 / 74卷 / 01期
关键词：
Buckling load; Clamped plate; Optimization of shapes; CALCULUS;
D O I：
10.1007/s00033-022-01898-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove the existence of an optimal domain for minimizing the buckling load among all, possibly unbounded, open subsets of R-n (n >= 2) with given measure. Our approach is based on the extension of a two-dimensional existence result of Ashbaugh and Bucur and on the idea of Alt and Caffarelli to focus on the eigenfunction.
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页数：16
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