Stability of n-dimensional extremal surfaces of revolution

被引：0
|
作者：
Poluboyarova N.M. [1 ]
机构：
[1] Volgograd State University, Volgograd 400062
来源：
Russian Mathematics | 2011年 / 55卷 / 2期
关键词：
area-type functional; extremal surface; functional variation; stable (unstable) extremal surface;
D O I：
10.3103/S1066369X11020113
中图分类号：
学科分类号：
摘要：
In this paper we consider extremal surfaces of revolution of area-type functionals. For the latter we calculate the first and second variations. We prove stability and instability criteria for n-dimensional surfaces of revolution based on their definition and in terms of special integrals. © 2011 Allerton Press, Inc.
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页码：93 / 95
页数：2
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