Estimates for eigenvalues of weighted Laplacian and weighted $p$-Laplacian-Reference-Cited by-同舟云学术

Estimates for eigenvalues of weighted Laplacian and weighted $p$-Laplacian

Published:2021-11-01 Issue:3 Volume:51 Page:
ISSN:0018-2079
Container-title:Hiroshima Mathematical Journal
language:
Short-container-title:Hiroshima Math. J.

Author:

Du Feng¹,Mao Jing²,Wang Qiaoling³,Xia Changyu³

Affiliation:

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. Departamento de Matemática, Universidade de Brasilia 70910-900-Brasilia-DF, Brazil

Publisher

Hiroshima University - Department of Mathematics

Subject

Geometry and Topology,Algebra and Number Theory,Analysis

Reference30 articles.

1. [1] G.-P. Bessa, J.-F. Montenegro, Eigenvalue estimates for submanifolds with locally bounded mean curvature, Ann. Glob. Anal., Geom. 24(2) (2003), 279–290.

2. [2] G.-P. Bessa, J.-F. Montenegro, An extension of Barta’s theorem and geometric applications, Ann. Glob. Anal. Geom., 31(4) (2007), 345–362.

3. [3] G.-P. Bessa, M.-S. Costa, Eigenvalue estimates for submanifolds with locally bounded mean curvature in $N × R$, Proc. Amer. Math. Soc., 137 (2009), 1093–1102.

4. [4] S. Brendle, Embedded self-similar shrinkers of genus 0, Annals of Mathematics, 183 (2016), 715–728.

5. [5] M. Batista, M.-P. Cavalcante, J. Pyo, Some isoperimetric inequalities and eigenvalue estimates in weighted manifolds, J. Math. Anal. Appl., 419(1) (2014), 617–626.

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