On eigenvalue inequalities of the Newton potential

被引：0

作者：

Kal'menov, Tynysbek ^{[1
]}

Suragan, Durvudkhan ^{[1
]}

Sabitbek, Bolys ^{[1
]}

机构：

[1] Inst Math & Math Modeling, Alma Ata 050010, Kazakhstan

来源：

ADVANCEMENTS IN MATHEMATICAL SCIENCES (AMS 2015) | 2015年 / 1676卷

关键词：

Dirichlet problem; Eigenvalues of Laplacian; Neumann problem; Newton potential; MIXED CAUCHY-PROBLEM; STRONG SOLVABILITY; CRITERION; DIRICHLET; EQUATIONS;

D O I：

10.1063/14930478

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we compare the eigenvalues of the Newton potential with the Dirichlet eigenvalues and the Neumann eigenvalues in a bounded domain in Rd. We also prove Rayleigh-Faber-Krahn inequality for the Laplacian with a non-local type boundary condition.

引用

页数：6

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