LIOUVILLE TYPE THEOREMS FOR FRACTIONAL AND HIGHER-ORDER FRACTIONAL SYSTEMS
文献类型：期刊论文
| 作者 | Cao, Daomin1,2 ; Qin, Guolin3,4
|
| 刊名 | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
 |
| 出版日期 | 2021-05-01 |
| 卷号 | 41期号:5页码:2269-2283 |
| ISSN号 | 1078-0947 |
| 关键词 | Fractional Laplacians Henon-Lane-Emden systems decay estimates higher-order fractional Laplacians Lionville type theorems |
| DOI | 10.3934/dcds.2020361 |
| 英文摘要 | In this paper, we first establish decay estimates for the fractional and higher-order fractional Henon-Lane-Emden systems by using a nonlocal average and integral estimates, which deduce a result of non-existence. Next, we apply the method of scaling spheres introduced in [16] to derive a Lionville type theorem. We also construct an interesting example on super alpha/2-harmonic functions (Proposition 1.2). |
| 资助项目 | NNSF of China[11831009] ; Chinese Academy of Sciences |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| 出版者 | AMER INST MATHEMATICAL SCIENCES-AIMS |
| WOS记录号 | WOS:000616112000012 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/58215]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Cao, Daomin |
| 作者单位 | 1.Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510405, Peoples R China 2.Chinese Acad Sci, Inst Appl Math, AMSS, Beijing 100190, Peoples R China 3.Chinese Acad Sci, Inst Appl Math, Beijing 100190, Peoples R China 4.Univ Chinese Acad Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Cao, Daomin,Qin, Guolin. LIOUVILLE TYPE THEOREMS FOR FRACTIONAL AND HIGHER-ORDER FRACTIONAL SYSTEMS[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,2021,41(5):2269-2283. |
| APA | Cao, Daomin,&Qin, Guolin.(2021).LIOUVILLE TYPE THEOREMS FOR FRACTIONAL AND HIGHER-ORDER FRACTIONAL SYSTEMS.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,41(5),2269-2283. |
| MLA | Cao, Daomin,et al."LIOUVILLE TYPE THEOREMS FOR FRACTIONAL AND HIGHER-ORDER FRACTIONAL SYSTEMS".DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 41.5(2021):2269-2283. |
入库方式： OAI收割
来源：数学与系统科学研究院
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