Symmetry and rigidity for the hinged composite plate problem

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:266

Article

Colasuonno, Francesca¹  Vecchi, Eugenio² 

[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

关键词: Composite plate problem;    Biharmonic operator;    Navier boundary conditions;    Moving plane method;    Symmetry of solutions;    Rigidity results;   

DOI  :  10.1016/j.jde.2018.10.011

来源: Elsevier

【 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.

【 授权许可】

Free