Existence of Positive Solutions to a Fractional-Kirchhoff System

被引：0

作者：

Peng-fei LI ^{[1
]}

Jun-hui XIE ^{[1
]}

Dan MU ^{[1
]}

机构：

[1] School of Mathematics and Statistics, Hubei Minzu University

来源：

Acta Mathematicae Applicatae Sinica | 2024年 / 40卷 / 01期

基金：

中国国家自然科学基金;

关键词：

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

Let Ω be a bounded smooth domain in RN(N≥3).Assuming that 0 <s <1,1 <p,q≤(N+2s)/(N-2s)with(p,q)≠(N+2s/N-2s,N+2s/N-2s),and a,b> 0 are constants,we consider the existence results for positive solutions of a class of fractional elliptic system below,■Under some assumptions of hi(x,u,v,▽u,▽v)(i=1,2),we get a priori bounds of the positive solutions to the problem(1.1) by the blow-up methods and rescaling argument.Based on these estimates and degree theory,we establish the existence of positive solutions to problem(1.1).

引用

页码：225 / 240

页数：16

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