NONSYMMETRIC GROUND-STATES OF SYMMETRICAL VARIATIONAL-PROBLEMS

被引：52

作者：

ESTEBAN, MJ

机构：

来源：

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS | 1991年 / 44卷 / 02期

关键词：

D O I：

10.1002/cpa.3160440205

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study a minimization problem which is invariant by rotation. The corresponding Euler-Lagrange equations are semilinear elliptic equations in an exterior domain with Neumann boundary conditions. We prove that this minimization problem has at least one solution. Yet all its solutions are shown not to be rotationally invariant. Furthermore we describe how the radial symmetry is broken.

引用

页码：259 / 274

页数：16