Minima of Invariant Functions: The Inverse Problem

被引：0
|
作者：
Scheurle, Jurgen [1 ]
Walcher, Sebastian [2 ]
机构：
[1] Tech Univ Munich, Zentrum Math, D-85747 Garching, Germany
[2] Rhein Westfal TH Aachen, Math A, D-52056 Aachen, Germany
来源：
ACTA APPLICANDAE MATHEMATICAE | 2015年 / 137卷 / 01期
关键词：
Symmetry breaking; Orbit space; Elasticity; Shape-memory alloys; PHASE-TRANSITIONS; LANDAU THEORY; SYMMETRY; BREAKING; GEOMETRY;
D O I：
10.1007/s10440-014-9997-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We determine locally minimizing functions that are invariant with respect to the action of a finite linear group. This resolves a problem which is inverse to one discussed in a seminal paper by Abud and Sartori, and occurs naturally in various physical applications, such as elasticity theory and phase transitions. A general existence result reduces the local problem to elementary computations. Some results are extended to the compact case, and some examples and applications are given.
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页码：233 / 252
页数：20
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