Liouville type theorems for Hardy-Henon equations with concave nonlinearities

被引：12
|
作者：
Dai, Wei [1 ,2 ]
Qin, Guolin [3 ,4 ]
机构：
[1] Beihang Univ BUAA, Sch Math & Syst Sci, Beijing 100083, Peoples R China
[2] Univ Paris 13, LAGA, UMR 7539, Paris, France
[3] Chinese Acad Sci, Inst Appl Math, Beijing 100190, Peoples R China
[4] Univ Chinese Acad Sci, Beijing 100049, Peoples R China
来源：
MATHEMATISCHE NACHRICHTEN | 2020年 / 293卷 / 06期
基金：
中国国家自然科学基金;
关键词：
bi-harmonic; concave nonlinearity; Hardy-Henon equations; Liouville theorems; nonnegative solutions; super-harmonic property; ELLIPTIC-EQUATIONS; POSITIVE SOLUTIONS; LOCAL BEHAVIOR; HIGHER-ORDER; CLASSIFICATION;
D O I：
10.1002/mana.201800532
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we are concerned with the Hardy-Henon equations -Delta u=|x|aupand Delta 2u=|x|aupwith a is an element of R and p is an element of(0,1]. Inspired by Serrin and Zou [25], we prove Liouville theorems for nonnegative solutions to the above Hardy-Henon equations (Theorem 1.1 and Theorem 1.3), that is, the unique nonnegative solution is u equivalent to 0.
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页码：1084 / 1093
页数：10
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