Partial regularity and everywhere continuity for a model problem from non-linear elasticity

Journal of the Australian Mathematical Society

Nicola Fusco¹ 

[1] John E. Hutchinson

关键词: 35J50;    35J6O;    73C50;   

DOI  :  10.1017/S1446788700037496

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

We prove a new energy or Caccioppoli type estimate for minimisers of the model functional ∫Ω|Du|2 + (det Du)2, where Ω ⊂ 2 and u: Ω → 2. We apply this to establish C∞ regularity for minimisers except on a closed set of measure zero. We also prove a maximum principle and use this to establish everywhere continuity of minimisers.

【 授权许可】

Unknown