数学物理学报 ›› 2009, Vol. 29 ›› Issue (5): 1160-1166.

• 论文 • 上一篇    下一篇

散度型椭圆方程Holder连续性的Green函数法

  

  1. 北京交通大学理学院 北京 100044
  • 收稿日期:2007-08-11 修回日期:2008-09-12 出版日期:2009-10-25 发布日期:2009-10-25
  • 基金资助:

    国家自然科学基金(10671022)资助

The Method of Green Function for a Holder Continuity of Elliptic Equations with Divergence

  1. College of Sciences, Beijing Jiaotong University, Beijing 100044
  • Received:2007-08-11 Revised:2008-09-12 Online:2009-10-25 Published:2009-10-25
  • Supported by:

    国家自然科学基金(10671022)资助

摘要:

文中利用散度型非线椭圆性算子的Green函数与Laplacian算子的比较性质, 建立了具有自然增长条件下的散度型非线性椭圆方程弱解的内部H\"older连续性.

关键词: 非线椭圆性算子, Green函数, 自然增长, Hole filling 方法, Morrey引理

Abstract:

According to the estimates and comparison of Green function of nonlinear elliptic operators with Laplacian operators, the authors  establish locally H\"older continuity  for a class of nonlinear elliptic equations with divergence under the condition of natural growth.

Key words: Nonlinear elliptic operators, Green function, Natural growth, Hole-filling technique, Morreys Lemma

中图分类号: 

  • 35B65