Regularity results for the gradient of solutions of a class of linear elliptic systems with L1,λ data

被引：19
作者：
Cirmi, G. R. [1 ]
Leonardi, S. [1 ]
Stara, J. [2 ]
机构：
[1] Univ Catania, Dipartimento Math & Informat, I-95125 Catania, Italy
[2] Charles Univ Prague, Fac Math & Phys, Dept Math Anal, CR-18600 Prague 8, Czech Republic
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2008年 / 68卷 / 12期
关键词：
D O I：
10.1016/j.na.2007.04.004
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove that if a vector-function f belongs to the Morrey space L-1,L-lambda(Omega, R-N), with Omega subset of R-n, n >= 3, N >= 2, lambda epsilon|0, n - 2|, and u is the solution of the system {-D-i(A(ij)(x)D-ju) = f in Omega u epsilon W-0(1,1) (Omega, R-N) then Du belongs to the space L-q,L-n-q(n-lambda-1)(Omega, R-nN), for any q epsilon [1, n/n-1[, provided the matrix of bounded measurable coefficients (A(ij)) has sufficiently small dispersion of the eigenvalues. (C) 2007 Elsevier Ltd. All rights reserved.
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收藏
页码：3609 / 3624
页数：16
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