On the spectrum of the weighted p-Laplacian under the Ricci-harmonic flow

On the spectrum of the weighted p-Laplacian under the Ricci-harmonic flow

Abstract This paper studies the behaviour of the spectrum of the weighted p-Laplacian on a complete Riemannian manifold evolving by the Ricci-harmonic flow. Precisely, the first eigenvalue diverges in a finite time along this flow. It is further shown that the same divergence result holds on gradien...

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Bibliographic Details
Main Authors: Abimbola Abolarinwa, Sunday O. Edeki, Julius O. Ehigie
Format: Article
Language:English
Published: SpringerOpen 2020-03-01
Series:Journal of Inequalities and Applications
Subjects:
Ricci harmonic flow
Laplace–Beltrami operator
Eigenvalue
Monotonicity
Ricci solitons
Online Access:http://link.springer.com/article/10.1186/s13660-020-02322-y

Internet

http://link.springer.com/article/10.1186/s13660-020-02322-y

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