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THE COMPARISON OF GREEN FUNCTION FOR QUASI-LINEAR ELLIPTIC EQUATION
作者姓名:郑神州  康秀英
作者单位:[1]DepartmentofMathematics,BeijingJiaotongUniversity,Beijing100044,China, [2]DepartmentofPhysics,BeijingNormalUniversity,Beijing100875,China,
基金项目:北京交通大学校科研和教改项目
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.

关 键 词:格林函数  非线性偏微分方程  数学物理  迭代法
收稿时间:23 December 2002

THE COMPARISON OF GREEN FUNCTION FOR QUASI-LINEAR ELLIPTIC EQUATION
Zheng Shenzhou,Kang Xiuying.THE COMPARISON OF GREEN FUNCTION FOR QUASI-LINEAR ELLIPTIC EQUATION[J].Acta Mathematica Scientia,2005,25(3):470-480.
Authors:Zheng Shenzhou  Kang Xiuying
Institution:1. Centre for Theoretical Studies, Indian Institute of Technology Kharagpur, West Bengal-721302, India;2. Department of Mechanical Engineering, Indian Institute of Technology Kharagpur, West Bengal-721302, India
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.
Keywords:Green function  q-capacity  BMO function  Moser-Nash's iteration  weak-Lp space
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