Symmetry and rigidity for the hinged composite plate problem

被引：12

作者：

Colasuonno, Francesca ^{[1
]}

Vecchi, Eugenio ^{[2
]}

机构：

[1] Univ Turin, Dipartimento Matemat Giuseppe Peano, Via Carlo Alberto 10, I-10123 Turin, Italy

[2] Sapienza Univ Roma, Dipartimento Matemat Guido Castelnuovo, Ple Aldo Moro 5, I-00185 Rome, Italy

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2019年 / 266卷 / 08期

关键词：

Composite plate problem; Biharmonic operator; Navier boundary conditions; Moving plane method; Symmetry of solutions; Rigidity results; SYSTEMS; MINIMIZERS; REGULARITY; UNIQUENESS; 2ND-ORDER; DOMAINS;

D O I：

10.1016/j.jde.2018.10.011

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The composite plate problem is an eigenvalue optimization problem related to the fourth order operator (-Delta)(2). In this paper we continue the study started in [10], focusing on symmetry and rigidity issues in the case of the hinged composite plate problem, a specific situation that allows us to exploit classical techniques like the moving plane method. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：4901 / 4924

页数：24

共 35 条

[1]

[Anonymous], 1964, Czechoslovak Math. J

[2] SYMMETRY IN AN OVERDETERMINED 4TH ORDER ELLIPTIC BOUNDARY-VALUE PROBLEM [J].