EIGENVALUES OF THE LAPLACE-BELTRAMI OPERATOR ON A LARGE SPHERICAL CAP UNDER THE ROBIN PROBLEM

被引：4

作者：

Kabeya, Yoshitsugu ^{[1
]}

Kawakami, Tatsuki ^{[1
]}

Kosaka, Atsushi ^{[2
]}

Ninomiya, Hirokazu ^{[3
]}

机构：

[1] Osaka Prefecture Univ, Dept Math Sci, Sakai, Osaka 5998531, Japan

[2] Osaka City Univ, Adv Math Inst, Osaka 5588585, Japan

[3] Meiji Univ, Sch Interdisciplinary Math Sci, Nakano, Tokyo 1648525, Japan

来源：

KODAI MATHEMATICAL JOURNAL | 2014年 / 37卷 / 03期

基金：

日本学术振兴会;

关键词：

spherical cap; eigenvalues; the associated Legendre functions; ELLIPTIC-EQUATIONS; SINGULAR VARIATION; CRITICAL EXPONENT; DOMAINS;

D O I：

10.2996/kmj/1414674613

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Eigenvalues of the Laplace-Beltrami operator on a spherical cap is considered under the homogeneous Robin condition. The asymptotic behavior of eigenvalues and the influence of the eigenvalues by the boundary conditions are discussed as the cap becomes large so that the domain covers almost the whole sphere.

引用

页码：620 / 645

页数：26

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