On the buckling eigenvalue problem

被引：8
作者：
Antunes, Pedro R. S. [1 ,2 ]
机构：
[1] Univ Lusofona Humanidades & Tecnol, Dept Matemat, P-1749024 Lisbon, Portugal
[2] Univ Lisbon, Grp Math Phys, P-1649003 Lisbon, Portugal
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2011年 / 44卷 / 21期
关键词：
BOUNDS; INEQUALITIES; MINIMIZATION; EIGENMODES; MEMBRANES; PROOF;
D O I：
10.1088/1751-8113/44/21/215205
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We prove a density result which allows us to justify the application of the method of fundamental solutions to solve the buckling eigenvalue problem of a plate. We address an example of an analytic convex domain for which the first eigenfunction does change the sign and present a large-scale numerical study with polygons providing numerical evidence to some new conjectures.
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页数：13
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