中文摘要：

本文研究一类具Pucci算子的完全非线性椭圆方程边值问题.在一些假设下,利用不动点定理和上、下解方法,证明了问题正解的存在唯一性.

英文摘要：

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.