| 注册
首页|期刊导航|数学杂志|一类具Pucci算子的椭圆方程解的存在唯一性

一类具Pucci算子的椭圆方程解的存在唯一性

陈正争 刘伟安

数学杂志2012,Vol.32Issue(1):55-64,10.
数学杂志2012,Vol.32Issue(1):55-64,10.

一类具Pucci算子的椭圆方程解的存在唯一性

EXISTENCE AND UNIQUENESS OF SOLUTION TO AN ELLIPTIC EQUATION INVOLVING THE PUCCI OPERATOR

陈正争 1刘伟安1

作者信息

  • 1. 武汉大学数学与统计学院,湖北武汉430072
  • 折叠

摘要

Abstract

In this paper,we are concerned with the boundary value problem of a fully nonlinear elliptic equation involving the Pucci operator.By the fixed-point theorem and the method of sub- and super-solutions,we prove that there exists a unique positive solution to the problem under some assumptions.

关键词

Pucci算子/完全非线性椭圆方程/不动点定理/上,下解

Key words

Pucci operator/fully nonlinear elliptic equation/fixed-point theorem/sub- and super-solutions

分类

数理科学

引用本文复制引用

陈正争,刘伟安..一类具Pucci算子的椭圆方程解的存在唯一性[J].数学杂志,2012,32(1):55-64,10.

基金项目

Supported by National Natural Science Foundation of China (10871151). (10871151)

数学杂志

OA北大核心CSCDCSTPCD

0255-7797

访问量0
|
下载量0
段落导航相关论文