Regularity for weakly (K1, K2)-quasiregular mappings

被引：0
|
作者：
高红亚
机构：
[1] College of Mathematics and Computer Science
[2] Baoding 071002
[3] China
[4] Hebei University
来源：
Science China Mathematics | 2003年 / 04期
关键词：
weakly (K1; K2)-quasiregular mapping; Hodge decomposition; weakly reverse Holder inequality; regularity;
D O I：
暂无
中图分类号：
O177 [泛函分析];
学科分类号：
070104 ;
摘要：
In this paper, we first give the definition of weakly (K1, K2)-quasiregular mappings, and then by using the Hodge decomposition and the weakly reverse Holder inequality, we obtain their regularity property: For any ql that satisfies 0 < K1n(n+4)/22n+1 × 100n2[23n/2(25n + 1)](n - q1) < 1, there exists p1 = p1(n, q1, K1, K2) > n, such that any (K1, K2)-quasiregular mapping f ∈W(loc)(1,q1)(Ω,Rn) is in fact in W(loc)(1,p1)(Ω,Rn). That is, f is (K1, K2)-quasiregular in the usual sense.
引用
收藏
页码：499 / 505
页数：7
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