Symmetric-Convex Functionals of Linear Growth

被引：4
作者：
Gmeineder F. [1 ]
机构：
[1] Mathematical Institute, University of Oxford, Andrew Wiles Building, Oxford
来源：
Journal of Elliptic and Parabolic Equations | 2016年 / 2卷 / 1-2期
关键词：
Functionals of Linear Growth; Functions of Bounded Deformation; Regularity Theory;
D O I：
10.1007/BF03377392
中图分类号：
学科分类号：
摘要：
We discuss existence and regularity theorems for convex functionals of linear growth that depend on the symmetric rather than the full gradients. Due to the failure Korn’s Inequality in the L1-setup, the full weak gradients of minima do not need to exist, and the paper aims for presenting methods that help to overcome these issues as to partial regularity and higher integrability of minimisers. © 2016, Orthogonal Publishing and Springer International Publishing.
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页码：59 / 71
页数：12
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