数学物理学报 ›› 2009, Vol. 29 ›› Issue (5): 1291-1297.

• 论文 • 上一篇    下一篇

A -调和方程障碍问题很弱解的局部正则性

  

  1. 1.河北大学 数学与计算机学院 河北 保定 071002|2.河北省数学研究中心 石家庄 050016; 3.承德民族师专数学系 |河北承德 |067000|4. 湖州师范学院数学系 浙江湖州 |313000
  • 收稿日期:2007-12-28 修回日期:2008-10-30 出版日期:2009-10-25 发布日期:2009-10-25
  • 基金资助:

    河北省自然科学基金数学研究专项基金(07M003)、国家自然科学基金(10771195)和浙江省自然科学基金(Y607128)资助

Local Regularity for Very Weak Solutions of Obstacle Problems to the A-Harmonic Operators

  1. 1.College of Mathematics and Computer Science, Hebei University, Hebei Baoding 071002|2.Hebei Privincial Center of Mathematics, Shijiazhuang, 050016|3.Department of Mathematics, Chengde Teachers College for
    Nationalities, Hebei |Chengde, 067000|4.Department of Mathematics, Huzhou Teachers College, Zhejiang Huzhou 31300
  • Received:2007-12-28 Revised:2008-10-30 Online:2009-10-25 Published:2009-10-25
  • Supported by:

    河北省自然科学基金数学研究专项基金(07M003)、国家自然科学基金(10771195)和浙江省自然科学基金(Y607128)资助

摘要:

该文使用Hodge分解的方法, 给出了A -调和方程divA(x, u,   u)=0具有非负障碍函数的障碍问题很弱解的局部正则性结果.

关键词: 局部正则性,  A -调和算子, 障碍问题, Hodge分解

Abstract:

This paper gives a local regularity result for very weak solutions of obstacle problems to the A-Harmonic operator div A(x, u,   u)=0 with nonnegative obstacle by using the method of Hodge decomposition.

Key words: Local regularity, A-Harmonic operator, Obstacle problem, Hodge decomposition

中图分类号: 

  • 35J70