Estimates for eigenvalues of the Neumann and Steklov problems

被引：3

作者：

Du, Feng ^{[1
,3
,4
]}

Mao, Jing ^{[1
,2
,3
]}

Wang, Qiaoling ^{[5
]}

Xia, Changyu ^{[6
]}

Zhao, Yan ^{[1
]}

机构：

[1] Hubei Univ, Fac Math & Stat, Key Lab Appl Math Hubei Prov, Wuhan 430062, Peoples R China

[2] Univ Lisbon, Dept Math, Inst Super Tecn, Av Rovisco Pais, P-1049001 Lisbon, Portugal

[3] Jingchu Univ Technol, Sch Math & Phys Sci, Jingmen 448000, Peoples R China

[4] Hubei Univ, Fac Math & Stat, Key Lab Appl Math Hubei Prov, Wuhan 430062, Peoples R China

[5] Univ Brasilia, Dept Matemat, BR-70910900 Brasilia, DF, Brazil

[6] Southern Univ Sci & Technol, Dept Math, Shenzhen 518055, Guandong, Peoples R China

来源：

ADVANCES IN NONLINEAR ANALYSIS | 2023年 / 12卷 / 01期

关键词：

Neumann eigenvalue problem; Steklov eigenvalue problem; biharmonic operator; eigenvalues; Fourier transform; BOUNDS;

D O I：

10.1515/anona-2022-0321

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove Li-Yau-Kroger-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.

引用

页数：12

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