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.

引用

页码：93 / 95

页数：2

共 13 条

[11] Light-like extremal surfaces in Minkowski space
He Yijie
JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS, 2010, 23 (02): : 158 - 167
[12] Unstable extremal surfaces of the "Shiffman functional" spanning rectifiable boundary curves
Jakob, Ruben
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2007, 28 (03) : 383 - 409
[13] Unstable extremal surfaces of the “Shiffman functional” spanning rectifiable boundary curves
Ruben Jakob
Calculus of Variations and Partial Differential Equations, 2007, 28 : 383 - 409

← 1 2 →