Liouville-type theorems for fractional Hardy-Henon systems

被引：0

作者：

Li, Kui ^{[1
]}

Yu, Meng ^{[2
]}

Zhang, Zhitao ^{[3
,4
,5
]}

机构：

[1] Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Henan, Peoples R China

[2] Goethe Univ Frankfurt, Inst Math, D-60054 Frankfurt, Germany

[3] Chinese Acad Sci, Acad Math & Syst Sci, HLM, Beijing 100190, Peoples R China

[4] Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China

[5] Jiangsu Univ, Sch Math Sci, Zhenjiang 212013, Peoples R China

来源：

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2024年 / 31卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Liouville-type theorem; Fractional-order elliptic system; Henon-Lane-Emden conjecture; Methods of scaling spheres; Integral system; OBSTACLE PROBLEM; FREE-BOUNDARY; EQUATIONS; REGULARITY; NONEXISTENCE; DIFFUSION; SYMMETRY;

D O I：

10.1007/s00030-023-00903-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study Liouville-type theorems for fractional Hardy-Henon elliptic systems with weights. Because the weights are singular at zero, we firstly prove that classical solutions for systems in R-N\{0} are also distributional solutions in R-N. Then we study the equivalence between the fractional Hardy-Henon system and a proper integral system, and we obtain new Liouville-type theorems for supersolutions and solutions by the method of integral estimates and scaling spheres respectively.

引用

页数：24

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