数学物理学报(英文版) ›› 2002, Vol. 22 ›› Issue (1): 41-46.

• 论文 • 上一篇    下一篇

ON VERY WEAK SOLUTIONS OF A-HARMONIC EQUATION WITH VERY WEAK BOUNDARY VALUES

 高红亚, 叶玉全, 谢素英   

  1. Department of Mathematics, Hebei University, Baoding 071002, China Department of Applied Mathematics, Shanghai Jiaotong University, Shanghai 200240, China
  • 出版日期:2002-01-14 发布日期:2002-01-14
  • 基金资助:

    The research supported by National Natural Science Foundation of China.

ON VERY WEAK SOLUTIONS OF A-HARMONIC EQUATION WITH VERY WEAK BOUNDARY VALUES

 GAO Hong-Y, YE Yu-Quan, XIE Su-Ying   

  1. Department of Mathematics, Hebei University, Baoding 071002, China Department of Applied Mathematics, Shanghai Jiaotong University, Shanghai 200240, China
  • Online:2002-01-14 Published:2002-01-14
  • Supported by:

    The research supported by National Natural Science Foundation of China.

PDF (PC)

1064

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.

关键词: A-harmonic equation, Very weak solution, Uniqueness, Hodge decomposi-tion

Abstract:

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.

Key words: A-harmonic equation, Very weak solution, Uniqueness, Hodge decomposi-tion

中图分类号: 

  • 35J65
版权所有 © 《数学物理学报(英文版)》杂志社
地址：武汉市71010号信箱(430071)　电话: 027-87199206(中文版)　027-87199087(英文版)
E-mail: actams@apm.ac.cn
本系统由北京玛格泰克科技发展有限公司设计开发