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| 摘要: |
| 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. |
| 关键词: 椭圆型方程 Nehari流形 纤维环映射 正解 |
| DOI： |
| 分类号:O175.25 |
| 基金项目:新疆维吾尔自治区自然科学基金资助（2017D01C420）. |
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| THE EXISTENCE OF POSITIVE SOLUTIONS FOR A NONLOCAL ELLIPTIC EQUATION |
|
CHEN Lin
|
| Abstract: |
| 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. |
| Key words: elliptic equation Nehari manifold fibbering map positive solution |
