Morrey regularity of solutions of fully non-linear elliptic systems

被引：4

作者：

Fattorusso, Luisa ^{[1
]}

Tarsia, Antonio ^{[1
]}

机构：

[1] Univ Mediterranea Reggio Calabria, Dipartimento Informat Matemat Elettron & Trasport, Reggio Di Calabria, Italy

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2010年 / 55卷 / 5-6期

关键词：

fully non-linear elliptic systems; Morrey spaces;

D O I：

10.1080/17476930802657624

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let Omega be a bounded convex open set of R-n, n >= 2, of class C-2,C-1. We consider the following Dirichlet problem {u is an element of H-2 boolean AND H-0(1)(Omega, R-N) F(x, D(2)u) = f(x), a.e. in Omega, where f is an element of L-2,L-lambda (Omega, R-N), 0 < lambda < n, and F satisfying the condition A(x). We show that there exists epsilon is an element of (0, 1) such that D(2)u is an element of L-2,L-mu(Omega, R-N), where mu is an element of (0, lambda) and mu < n epsilon.

引用

页码：537 / 548

页数：12