SYMMETRY RESULT FOR SOME OVERDETERMINED VALUE PROBLEMS

被引：1
|
作者：
Barkatou, Mohammed [1 ]
Khatmi, Samira [2 ]
机构：
[1] Univ Chouaib Doukkali, Dept Math & Informat, El Jadida, Morocco
[2] Univ Laval, Quebec City, PQ, Canada
来源：
ANZIAM JOURNAL | 2008年 / 49卷 / 04期
关键词：
compatibility condition; mean curvature; Neumann problem; overdetermined problem; Serrin problem; shape optimization; symmetry;
D O I：
10.1017/S1446181108000163
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of this article is to prove a symmetry, result for several overdetermined boundary value problems. For the two first problems, Our method combines the maximum principle with the monotonicity of the mean curvature. For the others, we use essentially the compatibility condition of the Neumann problem problem.
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页码：479 / 494
页数：16
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