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

doi:10.1016/j.jmaa.2021.124963

CSpace

	Yau type gradient estimates for Delta u plus au(log u)(p) + bu=0 on Riemannian manifolds
	Peng, Bo 1,2; Wang, Youde 3,4,5; Wei, Guodong 6
	2021-06-01
发表期刊	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN	0022-247X
卷号	498 期号:1 页码:24
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.
关键词	Gradient estimate Ricci curvature Nonlinear elliptic equation
DOI	10.1016/j.jmaa.2021.124963
收录类别	SCI
语种	英语
资助项目	NSFC[11971400] ; NSFC[11731001] ; Guangdong Basic and Applied Basic Research Foundation Grant[2020A1515011019]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000615711100031
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/58126
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.