数学物理学报(英文版) ›› 2002, Vol. 22 ›› Issue (1): 41-46.
高红亚, 叶玉全, 谢素英
GAO Hong-Y, YE Yu-Quan, XIE Su-Ying
摘要:
In this paper,the following result is given by using Hodge decomposition:There exists r0 = r0(n, p, a, b),such that if u 2 W1,rloc () is a very weak solution of (1.1),withmax{1, p−1} < r < p and u 2 W1,r0 (; @\E), where E @ is a closed set and small inan appropriate capacity sense, then u = 0, a.e. in provided that r0 < r < p.
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