Monotonicity formulas for the first eigenvalue of the weighted p-Laplacianunder the Ricci-harmonic flow

Abolarinwa, Abimbola and Adebimpe, O. and Bakare, Emmanuel A. (2019) Monotonicity formulas for the first eigenvalue of the weighted p-Laplacianunder the Ricci-harmonic flow. Journal of Inequalities and Applications, 10.

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Abstract

Let p,φbe the weighted p-Laplacian defined on a smooth metric measure space.We study the evolution and monotonicity formulas for the first eigenvalue,λ1=λ(p,φ), of p,φunder the Ricci-harmonic flow. We derive some monotonicquantities involving the first eigenvalue, and as a consequence, this shows that λ1ismonotonically nondecreasing and almost everywhere differentiable along the flowexistence

Item Type: Article
Subjects: Q Science > QC Physics
Depositing User: Mr DIGITAL CONTENT CREATOR LMU
Date Deposited: 20 Sep 2019 09:44
Last Modified: 20 Sep 2019 09:44
URI: https://eprints.lmu.edu.ng/id/eprint/2312

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