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.
引用
收藏
页数：16
相关论文
共 50 条
  • [1] On the optimal domain for minimizing the buckling load of a clamped plate
    Kathrin Stollenwerk
    Zeitschrift für angewandte Mathematik und Physik, 2023, 74
  • [2] Existence of an optimal domain for the buckling load of a clamped plate with prescribed volume
    Stollenwerk, Kathrin
    ANNALI DI MATEMATICA PURA ED APPLICATA, 2022, 201 (04) : 1677 - 1704
  • [3] Existence of an optimal domain for the buckling load of a clamped plate with prescribed volume
    Kathrin Stollenwerk
    Annali di Matematica Pura ed Applicata (1923 -), 2022, 201 (4): : 1677 - 1704
  • [4] Minimization of the Buckling Load of a Clamped Plate with Perimeter Constraint
    Michele Carriero
    Simone Cito
    Antonio Leaci
    Applied Mathematics & Optimization, 2024, 89
  • [5] Minimization of the Buckling Load of a Clamped Plate with Perimeter Constraint
    Carriero, Michele
    Cito, Simone
    Leaci, Antonio
    APPLIED MATHEMATICS AND OPTIMIZATION, 2024, 89 (01):
  • [6] Buckling of the composite anisogrid lattice plate with clamped edges under shear load
    Lopatin, A. V.
    Morozov, E. V.
    Shatov, A. V.
    COMPOSITE STRUCTURES, 2017, 159 : 72 - 80
  • [7] Optimality conditions for the buckling of a clamped plate
    Stollenwerk, Kathrin
    Wagner, Alfred
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2015, 432 (01) : 254 - 273
  • [8] On the isoperimetric inequality for the buckling of a clamped plate
    Ashbaugh, MS
    Bucur, D
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2003, 54 (05): : 756 - 770
  • [9] Buckling of clamped orthotropic plate in shear
    Lopatin, A. V.
    Korbut, Y. B.
    COMPOSITE STRUCTURES, 2006, 76 (1-2) : 94 - 98
  • [10] On the isoperimetric inequality for the buckling of a clamped plate
    S. Ashbaugh
    Dorin Bucur
    Zeitschrift für angewandte Mathematik und Physik ZAMP, 2003, 54 (5): : 756 - 770
12345