June 2024 Lower bound estimate on the first eigenvalue of $V$-Laplacian
Jie Wang
Author Affiliations +
Kodai Math. J. 47(2): 125-136 (June 2024). DOI: 10.2996/kmj47201

Abstract

We prove lower bound estimate for the first nonzero eigenvalue of the $V$-Laplacian on a compact Riemannian manifold without boundary or with a smooth convex boundary and Neumann condition.

Funding Statement

The author was partially supported by National Natural Science Foundation of China (No. 11971358).

Acknowledgment

The author would like to thank Professor Qun Chen for his useful comments and suggestions which improved the paper.

Citation

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Jie Wang. "Lower bound estimate on the first eigenvalue of $V$-Laplacian." Kodai Math. J. 47 (2) 125 - 136, June 2024. https://doi.org/10.2996/kmj47201

Information

Received: 22 March 2023; Revised: 26 June 2023; Published: June 2024
First available in Project Euclid: 27 June 2024

Digital Object Identifier: 10.2996/kmj47201

Subjects:
Primary: 35P15
Secondary: 53C26

Keywords: $V$-Laplacian , eigenvalue estimate , Neumann condition

Rights: Copyright © 2024 Tokyo Institute of Technology, Department of Mathematics

Vol.47 • No. 2 • June 2024
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