POSITIVE SOLUTIONS FOR A NONLOCAL PROBLEM WITH CRITICAL SOBOLEV EXPONENT IN HIGHER DIMENSIONS

被引：2
|
作者：
Qian, Xiaotao [1 ]
机构：
[1] Yango Univ, Dept Basic Teaching & Res, Fuzhou 350015, Peoples R China
来源：
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2022年 / 12卷 / 05期
基金：
中国国家自然科学基金;
关键词：
Variational methods; nonlocal problem; positive solution; critical Sobolev exponent; MULTIPLICITY;
D O I：
10.11948/20210495
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is devoted to a nonlocal problem involving critical Sobolev exponent and negative nonlocal term. By virtue of a cut-off technique and the concentration compactness principle, we prove the existence and asymptotic behavior of positive solutions for the considered problem. In particular, our results generalize the existence results of positive solutions to higher dimensions N >= 5.
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页码：2033 / 2042
页数：10
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