REGULARITY ISSUES FOR COSSERAT CONTINUA AND p-HARMONIC MAPS

被引：9

作者：

Gastel, Andreas ^{[1
]}

机构：

[1] Univ Duisburg Essen, D-45117 Essen, Germany

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2019年 / 51卷 / 06期

关键词：

Cosserat elasticity; micropolar elasticity; regularity; harmonic maps; EXISTENCE;

D O I：

10.1137/18M1201858

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For minimizers in a geometrically nonlinear Cosserat model for micropolar elasticity of continua, we prove interior Holder regularity, up to isolated singular points that may be possible if the exponent p from the model is 2 or in (32/15, 3). The obstacle to full continuity turns out to be the existence of certain minimizing homogeneous p-harmonic maps to S-3. For those, we slightly improve existing regularity theorems in order to achieve our result on the Cosserat model.

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收藏

页码：4287 / 4310

页数：24

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