数学物理学报(英文版) ›› 2005, Vol. 25 ›› Issue (3): 470-480.

• 论文 • 上一篇    下一篇

THE COMPARISON OF GREEN FUNCTION |FOR QUASI-LINEAR ELLIPTIC EQUATION

郑神州,康秀英   

  1. Department of Mathematics, Beijing Jiaotong University, Beijing 100044, China,
     Department of Physics, Beijing Normal University, Beijing 100875, China,
  • 出版日期:2005-07-20 发布日期:2005-07-20
  • 基金资助:

    Supported by Beijing Jiaotong University Science Research Foundation
    (2004SM056)

THE COMPARISON OF GREEN FUNCTION |FOR QUASI-LINEAR ELLIPTIC EQUATION

 ZHENG Shen-Zhou, KANG Xiu-Yang   

  • Online:2005-07-20 Published:2005-07-20
  • Supported by:

    Supported by Beijing Jiaotong University Science Research Foundation
    (2004SM056)

摘要:

A generalization of the usual Green function to a kind of nonlinear elliptic
equation of divergence form is discussed. The regularity and comparison principle of Green
function in the sense of distribution are shown.

Abstract:

A generalization of the usual Green function to a kind of nonlinear elliptic
equation of divergence form is discussed. The regularity and comparison principle of Green
function in the sense of distribution are shown.

Key words: Green function, q-capacity, BMO function, Moser-Nash’s iteration;weak-Lp
space

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