Sharp lower bounds for the first eigenvalues of the bi-drifting Laplacian

被引：3

作者：

Bezerra, Adriano Cavalcante ^{[1
]}

Xia, Changyu ^{[2
]}

机构：

[1] Inst Fed Goiano, Campus Trindade, BR-75389269 Trindade, Go, Brazil

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

来源：

DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2020年 / 68卷

关键词：

Drifiting Laplacian; Bakry-Emery Ricci curvature; Eigenvalues; ELLIPTIC-EQUATIONS; INEQUALITIES; SYSTEM;

D O I：

10.1016/j.difgeo.2019.101572

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper we study some kinds of the problems for the bi-drifting Laplacian operator and get some sharp lower bounds for the first eigenvalue for these eigenvalue problems on compact manifolds with boundary (also called a smooth metric measure space) and weighted Ricci curvature bounded inferiorly. (C) 2019 Elsevier B.V. All rights reserved.

引用

页数：12

共 50 条

[1] Estimates for eigenvalues of the bi-drifting Laplacian operator
Du, Feng
Wu, Chuanxi
Li, Guanghan
Xia, Changyu
[J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2015, 66 (03): : 703 - 726
[2] Estimates for eigenvalues of the bi-drifting Laplacian operator
Feng Du
Chuanxi Wu
Guanghan Li
Changyu Xia
[J]. Zeitschrift für angewandte Mathematik und Physik, 2015, 66 : 703 - 726
[3] LOWER ORDER EIGENVALUES FOR THE BI-DRIFTING LAPLACIAN ON THE GAUSSIAN SHRINKING SOLITON
Zeng, Lingzhong
[J]. JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2020, 57 (06) : 1471 - 1484
[4] Estimates for the eigenvalues of the bi-drifting Laplacian on cigar soliton
Li, Xinyang
Xiong, Xin
Zeng, Lingzhong
[J]. JOURNAL OF GEOMETRY AND PHYSICS, 2019, 145
[5] Eigenvalues of the bi-drifting Laplacian on the complete noncompact Riemannian manifolds
Li, Xinyang
Mao, Jing
Zeng, Lingzhong
[J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2022, 73 (06):
[6] Eigenvalues of the bi-drifting Laplacian on the complete noncompact Riemannian manifolds
Xinyang Li
Jing Mao
Lingzhong Zeng
[J]. Zeitschrift für angewandte Mathematik und Physik, 2022, 73
[7] ESTIMATES FOR EIGENVALUES OF A SYSTEM OF ELLIPTIC EQUATIONS WITH DRIFT AND OF BI-DRIFTING LAPLACIAN
Du, Feng
Bezerra, Adriano Cavalcante
[J]. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2017, 16 (02) : 475 - 491
[8] Generalization of Philippin’s results for the first Robin eigenvalue and estimates for eigenvalues of the bi-drifting Laplacian
Abdolhakim Shouman
[J]. Annals of Global Analysis and Geometry, 2019, 55 : 805 - 817
[9] Estimates for the eigenvalues of the bi-drifting Laplacian on complete metric measure spaces
Zeng, Lingzhong
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2020, 61 (10)
[10] Generalization of Philippin's results for the first Robin eigenvalue and estimates for eigenvalues of the bi-drifting Laplacian
Shouman, Abdolhakim
[J]. ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, 2019, 55 (04) : 805 - 817

← 1 2 3 4 5 →