SYMMETRY AND RELATED PROPERTIES VIA THE MAXIMUM PRINCIPLE

被引：2310

作者：

GIDAS, B ^{[1
]}

NI, WM ^{[1
]}

NIRENBERG, L ^{[1
]}

机构：

[1] NYU,COURANT INST MATH SCI,NEW YORK,NY 10012

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1979年 / 68卷 / 03期

关键词：

D O I：

10.1007/BF01221125

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We prove symmetry, and some related properties, of positive solutions of second order elliptic equations. Our methods employ various forms of the maximum principle, and a device of moving parallel planes to a critical position, and then showing that the solution is symmetric about the limiting plane. We treat solutions in bounded domains and in the entire space. © 1979 Springer-Verlag.

引用

页码：209 / 243

页数：35

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