REMOVABLE SETS FOR HOLDER CONTINUOUS p(x)-HARMONIC FUNCTIONS

被引：1
|
作者：
Lyaghfouri, A. [1 ]
机构：
[1] Fields Inst, Toronto, ON M5T 3J1, Canada
来源：
ANALYSIS AND APPLICATIONS | 2012年 / 10卷 / 02期
关键词：
p(x)-harmonic functions; variable exponents Sobolev spaces; Holder continuity; Hausdorff measure; removable sets; ELLIPTIC-EQUATIONS;
D O I：
10.1142/S021953051250008X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We establish that a closed set E is removable for C-0,C-alpha Holder continuous p(x)-harmonic functions in a bounded open domain Omega of R-n, n >= 2, provided that for each compact subset K of E, the (n - p(K) + alpha(p(K) - 1))-Hausdorff measure of K is zero, where p(K) - max(x is an element of K) p(x).
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