ON THE NONEXISTENCE OF ENERGY STABLE MINIMAL CONES

被引：5

作者：

DIERKES, U ^{[1
]}

机构：

[1] UNIV BONN,INST ANGEW MATH,SONDERFORSCH BEREICH 256,W-5300 BONN 1,GERMANY

来源：

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 1990年 / 7卷 / 06期

关键词：

49; F; 22; Stable cones;

D O I：

10.1016/S0294-1449(16)30282-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that there are no non-trivial (potential) energy stable minimal cones in ℝn × ℝ+ with singularity at 0, if 2 ≦ n ≦ 5. The sharpness of this result is demonstrated by proving that a certain six dimensional cone in ℝ7 is stable. Moreover, we extend all results to the more general α-energy functional. © 2016 L'Association Publications de l'Institut Henri Poincaré

引用

页码：589 / 601

页数：13

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