Yau type gradient estimates for Delta u plus au(log u)(p) + bu=0 on Riemannian manifolds

doi:10.1016/j.jmaa.2021.124963

	Yau type gradient estimates for Delta u plus au(log u)(p) + bu=0 on Riemannian manifolds
	Peng, Bo 4,5; Wang, Youde 1,3,6; Wei, Guodong 2
刊名	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
	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
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
WOS记录号	WOS:000615711100031
内容类型	期刊论文
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.Guangzhou Univ, Sch Math & Informat Sci, Guangzhou, Peoples R China 2.Sun Yat Sen Univ, Sch Math Zhuhai, Zhuhai 519082, Guangdong, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 4.UCAS, Sch Math Sci, Beijing 100190, Peoples R China 5.Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing, Peoples R China 6.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Hua Loo Keng Key Lab Math, Beijing 100190, 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.