一类非局部椭圆方程正解的存在性

THE EXISTENCE OF POSITIVE SOLUTIONS FOR A NONLOCAL ELLIPTIC EQUATION

本文研究了一类非局部椭圆方程非平凡弱解的存在性问题.利用Nehari流形及纤维环映射,获得了该问题正解的存在性条件,推广了该领域的相关结果.

In this paper,we study the existence of nontrivial week solutions for a class of nonlocal elliptic equation.By using Nehari manifold and the fibbering maps,we establish some conditions on the existence of positive solutions,which extends and improves the corresponding results in this area.