REGULARITY FOR WEAKLY (L1, L2)-BLD MAPPINGS
Author(s): GAO Hongya, XIE Suying, YE Yuquan
Pages: 109-114
Year: 2002 Issue: 1
Journal: CHINESE ANNALS OF MATHEMATICS,SERIES A
Keyword: 弱(L1; L2)-BLD映射; (L1; L2)-BLD映射; 弱(K1; K2)-拟正则映射; Hodge分解; 逆Holder不等式; 正则性;
Abstract: 本文首先将文[1]中的BLD映射推广为弱(L1,L2)-BLD映射,并证明了如下正则性结果:存在两个可积指数p1=p1(n,L1,L2)＜n＜q1=q1(n,L1,L2),使得对任意弱(L1,L2)-BLD映射,∈W1(Ω,Rn),都有,∈(Ω,Rn),即,为(L1,L2)-BLD映射.
Pages: 109-114
Year: 2002 Issue: 1
Journal: CHINESE ANNALS OF MATHEMATICS,SERIES A
Keyword: 弱(L1; L2)-BLD映射; (L1; L2)-BLD映射; 弱(K1; K2)-拟正则映射; Hodge分解; 逆Holder不等式; 正则性;
Abstract: 本文首先将文[1]中的BLD映射推广为弱(L1,L2)-BLD映射,并证明了如下正则性结果:存在两个可积指数p1=p1(n,L1,L2)＜n＜q1=q1(n,L1,L2),使得对任意弱(L1,L2)-BLD映射,∈W1(Ω,Rn),都有,∈(Ω,Rn),即,为(L1,L2)-BLD映射.
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