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.
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页数：24
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