Classification of positive solutions for a weighted integral system on the half-space

被引：0

作者：

Liao, Qiuping ^{[1
]}

Wang, Haofeng ^{[1
]}

Xiao, Yingying ^{[1
]}

机构：

[1] Jiangxi Sci & Technol Normal Univ, Sch Math Sci, Nanchang, Peoples R China

来源：

OPEN MATHEMATICS | 2024年 / 22卷 / 01期

关键词：

method of moving spheres; weighted integral system; HARDY-LITTLEWOOD-SOBOLEV; STEIN-WEISS INEQUALITIES; FRACTIONAL INTEGRALS; SHARP CONSTANTS; EQUATIONS; SYMMETRY; UNIQUENESS; EXISTENCE; THEOREMS;

D O I：

10.1515/math-2024-0058

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we study the following weighted integral system: { u(x)=integral(n+1)(R)+y(n+1)(beta)f(u(y),v(y))/ divided by x-y divided by(lambda )dy, x is an element of R-+(n+1), v(x)=integral(Rn+1)+y(n+1)(beta)g(u(y),v(y))divided by x-y divided by(lambda)dy, x is an element of R-+(n+1) Under nature structure conditions on f and g, we classify the positive solutions using the method of moving spheres

引用

页数：15

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