[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.5666/KMJ.2019.59.2.341

Evolution of the First Eigenvalue of Weighted p-Laplacian along the Yamabe Flow

Azami, Shahroud (Department of Mathematics, Faculty of Sciences, Imam Khomeini International University)

Publication Information

Kyungpook Mathematical Journal / v.59, no.2, 2019 , pp. 341-352 More about this Journal

Abstract

Let M be an n-dimensional closed Riemannian manifold with metric g, $d{\mu}=e^{-{\phi}(x)}d{\nu}$ be the weighted measure and ${\Delta}_{p,{\phi}}$ be the weighted p-Laplacian. In this article we will study the evolution and monotonicity for the first nonzero eigenvalue problem of the weighted p-Laplace operator acting on the space of functions along the Yamabe flow on closed Riemannian manifolds. We find the first variation formula of it along the Yamabe flow. We obtain various monotonic quantities and give an example.

Keywords

Laplace; Yamabe flow; eigenvalue;

Citations & Related Records

Times Cited By KSCI : 1 (Citation Analysis)

Reference
Cited By KSCI

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