SOME OVERDETERMINED BOUNDARY-VALUE-PROBLEMS FOR HARMONIC-FUNCTIONS

被引：17

作者：

PAYNE, LE ^{[1
]}

PHILIPPIN, GA ^{[1
]}

机构：

[1] UNIV LAVAL,QUEBEC CITY G1K 7P4,QUEBEC,CANADA

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 1991年 / 42卷 / 06期

关键词：

D O I：

10.1007/BF00944568

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study various overdetermined problems involving harmonic functions. In particular, we show that if the second eigenfunction u2 of the Stekloff eigenvalue problem in a bounded simply connected plane domain OMEGA has a constant value of \DELTA-u2\ on partial derivative-OMEGA, then OMEGA is a disk.

引用

页码：864 / 873

页数：10

共 9 条

[1]

Bandle C., 1980, ISOPERIMETRIC INEQUA

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