中文摘要：

研究了区域力ΩR^n（n≥3）中一类非局部椭圆方程解的存在性．首先构造出格林函数，并且定义相应的锥，然后利用锥不动点理论证明了问题存在正的径向解．

英文摘要：

The existence of solutions to the nonlocal elliptic equation in Ω C R^n（ n≥3） was studied. First constructed the Green function, then defined its cone, proved the existence of the positive radial solution by fixed point theorem in a cone.