Boundary estimates for elliptic systems with L1-data

被引：33
作者：
Brezis, Haim
Van Schaftingen, Jean
机构：
[1] Catholic Univ Louvain, Dept Math, B-1348 Louvain, Belgium
[2] Rutgers State Univ, Dept Math, Hill Ctr, Piscataway, NJ 08854 USA
[3] Univ Paris 06, Lab JL Lions, F-75252 Paris 05, France
来源：
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2007年 / 30卷 / 03期
关键词：
D O I：
10.1007/s00526-007-0094-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We obtain boundary estimates for the gradient of solutions to elliptic systems with Dirichlet or Neumann boundary conditions and L-1-data, under some condition on the divergence of the data. Similar boundary estimates are obtained for div-curl and Hodge systems.
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页码：369 / 388
页数：20
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