Eigenvalue inequalities for the buckling problem of the drifting Laplacian of arbitrary order-Reference-Cited by-同舟云学术

Eigenvalue inequalities for the buckling problem of the drifting Laplacian of arbitrary order

Published:2022-10-05 Issue:1 Volume:12 Page:
ISSN:2191-950X
Container-title:Advances in Nonlinear Analysis
language:en
Short-container-title:

Author:

Du Feng¹,Hou Lanbao¹²,Mao Jing²,Wu Chuanxi²

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

Abstract

Abstract In this paper, we investigate the buckling problem of the drifting Laplacian of arbitrary order on a bounded connected domain in complete smooth metric measure spaces (SMMSs) supporting a special function, and successfully obtain a general inequality for its eigenvalues. By applying this general inequality, if the complete SMMSs considered satisfy some curvature constraints, we can obtain a universal inequalities for eigenvalues of this buckling problem.

Publisher

Walter de Gruyter GmbH

Subject

Analysis

Link

https://www.degruyter.com/document/doi/10.1515/anona-2022-0278/pdf

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