| A-调和方程很弱解的正则性 |
| |
| 引用本文： | 刘琳,高红亚. A-调和方程很弱解的正则性[J]. 高校应用数学学报(英文版), 2006, 21(3): 343-349. DOI: 10.1007/s11766-003-0011-8 |
| |
| 作者姓名： | 刘琳 高红亚 |
| |
| 作者单位： | 北京科技大学 |
| |
| 摘 要： | In this paper, the following result is given by using Hodge decomposition and weak reverse H(o)lder inequality: For every r1 with p-(2n 1100n2p(23 n/(p-1) 1)b/a)-1＜r1＜p,there exists the exponent r2 = r2(n,r1,p) ＞ p, such that for every very weak solution u ∈W1r1,loc(Ω) to A-harmonic equation, u also belongs to W1r2,loc(Ω) . In particular, u is the weak solution to A-harmonic equation in the usual sense.
|
| 关 键 词： | A-谐波方程 弱解 Hodge分解 弱倒转Holder不等式 |
| 收稿时间： | 2004-06-28 |
| 修稿时间： | 2005-07-10 |
Regularity for very weak solutions to A-harmonic equation |
| |
| Liu Lin,Gao Hongya. Regularity for very weak solutions to A-harmonic equation[J]. Applied Mathematics A Journal of Chinese Universities, 2006, 21(3): 343-349. DOI: 10.1007/s11766-003-0011-8 |
| |
| Authors: | Liu Lin Gao Hongya |
| |
| Affiliation: | (1) Applied Science School, University of Science and Technology Beijing, 100083 Beijing, China;(2) College of Mathematics and Computer Science, Hebei University, 071002 Baoding, China |
| |
| Abstract: | In this paper, the following result is given by using Hodge decomposition and weak reverse Hölder inequality: For every r 1 with p?(2 n+1 100 n 2 p(23+n/(p?1)+1)b/a)?1<r 1 <p, there exists the exponent r 2 =r 2 (n,r 1 ,p)>p, such that for every very weak solution u∈ W r 1 ,loc/1(Ω) to A-harmonic equation, u also belongs to W r/ 2 /,loc/1/(/gW). In particular, u is the weak solution to A-harmonic equation in the usual sense. |
| |
| Keywords: | A-harmonic equation very weak solution Hodge decomposition weak reverse H(o)lder inequality |
| 本文献已被 CNKI 维普 万方数据 SpringerLink 等数据库收录！ |
|
