Yau type gradient estimates for Delta u plus au(log u)(p) + bu=0 on Riemannian manifolds
文献类型：期刊论文
| 作者 | Peng, Bo1,2; Wang, Youde3,4,5; Wei, Guodong6 |
| 刊名 | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
 |
| 出版日期 | 2021-06-01 |
| 卷号 | 498期号:1页码:24 |
| 关键词 | Gradient estimate Ricci curvature Nonlinear elliptic equation |
| ISSN号 | 0022-247X |
| DOI | 10.1016/j.jmaa.2021.124963 |
| 英文摘要 | In this paper, we consider the gradient estimates of the positive solutions to the following equation defined on a complete Riemannian manifold (M, g) Delta u + au(log u)(p) + bu = 0, where a, b is an element of R and p is a rational number with p = k(1)/2k(2)+1 >= 2 where k(1) and k(2) are positive integer numbers. We obtain the gradient bound of a positive solution to the equation which does not depend on the bounds of the solution and the Laplacian of the distance function on (M, g). Our results can be viewed as a natural extension of Yau's estimates on positive harmonic function. (C) 2021 Elsevier Inc. All rights reserved. |
| 资助项目 | NSFC[11971400] ; NSFC[11731001] ; Guangdong Basic and Applied Basic Research Foundation Grant[2020A1515011019] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000615711100031 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/58125]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Wang, Youde |
| 作者单位 | 1.UCAS, Sch Math Sci, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing, Peoples R China 3.Guangzhou Univ, Sch Math & Informat Sci, Guangzhou, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China 5.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 6.Sun Yat Sen Univ, Sch Math Zhuhai, Zhuhai 519082, Guangdong, Peoples R China |
| 推荐引用方式 GB/T 7714 | Peng, Bo,Wang, Youde,Wei, Guodong. Yau type gradient estimates for Delta u plus au(log u)(p) + bu=0 on Riemannian manifolds[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2021,498(1):24. |
| APA | Peng, Bo,Wang, Youde,&Wei, Guodong.(2021).Yau type gradient estimates for Delta u plus au(log u)(p) + bu=0 on Riemannian manifolds.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,498(1),24. |
| MLA | Peng, Bo,et al."Yau type gradient estimates for Delta u plus au(log u)(p) + bu=0 on Riemannian manifolds".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 498.1(2021):24. |
入库方式： OAI收割
来源：数学与系统科学研究院
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