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
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)