A real analyticity result for symmetric functions of the eigenvalues of a domain-dependent Neumann problem for the Laplace operator

被引：12

作者：

Lamberti, Pier Domenico ^{[1
]}

Lanza de Cristoforis, Massimo ^{[1
]}

机构：

[1] Univ Padua, Dipartimento Matemat Pura & Applicata, I-35121 Padua, Italy

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2007年 / 4卷 / 04期

关键词：

Neumann eigenvalue and eigenvector; Laplace operator; domain perturbation; special nonlinear operator;

D O I：

10.1007/s00009-007-0128-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let Omega be an open connected subset of R-n for which the imbedding of the Sobolev space W-1,W-2(Omega) into the space L-2(Omega) is compact. We consider the Neumann eigenvalue problem for the Laplace operator in the open subset phi(Omega) of R-n, where phi is a Lipschitz continuous homeomorphism of Omega onto phi(Omega). Then we prove a result of real analytic dependence for symmetric functions of the eigenvalues upon variation of phi.

引用

页码：435 / 449

页数：15

共 16 条

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