南方科技大学知识苑(SUSTech KC): Estimates for eigenvalues of the Neumann and Steklov problems

题名	Estimates for eigenvalues of the Neumann and Steklov problems
作者	Du，Feng 1,2; Mao，Jing 2,3; Wang，Qiaoling 4; Xia，Changyu5 ; Zhao，Yan 2
通讯作者	Mao，Jing
发表日期	2023
DOI	10.1515/anona-2022-0321
发表期刊	Advances in Nonlinear Analysis 影响因子和分区
ISSN	2191-9496
EISSN	2191-950X
卷号	12 期号:1
摘要	We prove Li-Yau-Kröger-type bounds for Neumann-type eigenvalues of the biharmonic operator on bounded domains in a Euclidean space. We also prove sharp estimates for lower order eigenvalues of a biharmonic Steklov problem and of the Laplacian, which directly implies two sharp Reilly-type inequalities for the corresponding first nonzero eigenvalue.
关键词	biharmonic operator eigenvalues Fourier transform Neumann eigenvalue problem Steklov eigenvalue problem
相关链接	[Scopus记录]
收录类别	SCI
语种	英语
学校署名	其他
资助项目	Research Team Project of Jingchu University of Technology[TD202006] ; Research Project of Jingchu University of Technology["YB202010","ZX202002","ZX202006"] ; NSF of Hubei Province[2022CFB527] ; NSF of China[11801496] ; CNPq, Brazil["307089/2014-2","306146/2014-2"]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:001035385700001
出版者	DE GRUYTER POLAND SP Z O O
Scopus记录号	2-s2.0-85166409073
来源库	Scopus
引用统计	被引频次[WOS]：1
成果类型	期刊论文
条目标识符	http://sustech.caswiz.com/handle/2SGJ60CL/560190
专题	理学院_数学系
作者单位	1.School of Mathematics and Physics Science,Jingchu University of Technology,Jingmen,448000,China 2.Faculty of Mathematics and Statistics,Key Laboratory of Applied Mathematics of Hubei Province,Hubei University,Wuhan,430062,China 3.Department of Mathematics,Instituto Superior Técnico,University of Lisbon,Lisbon,Av. Rovisco Pais,1049-001,Portugal 4.Departamento de Matemática,Universidade de Brasilia,Brasilia,DF,70910-900,Brazil 5.Department of Mathematics,Southern University of Science and Technology,Shenzhen,Guandong,518055,China
推荐引用方式 GB/T 7714	Du，Feng,Mao，Jing,Wang，Qiaoling,et al. Estimates for eigenvalues of the Neumann and Steklov problems[J]. Advances in Nonlinear Analysis,2023,12(1).
APA	Du，Feng,Mao，Jing,Wang，Qiaoling,Xia，Changyu,&Zhao，Yan.(2023).Estimates for eigenvalues of the Neumann and Steklov problems.Advances in Nonlinear Analysis,12(1).
MLA	Du，Feng,et al."Estimates for eigenvalues of the Neumann and Steklov problems".Advances in Nonlinear Analysis 12.1(2023).