Cyrille Combete

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20172026

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math.DG2018

Harnack inequalities for positive solutions of the heat equation on closed Finsler manifolds

Cyrille Combete, Serge Degla, Leonard Todjihounde

The main goal of this paper is to generalize some Li-Yau type gradient estimates to Finsler geometry in order to derive Harnack type inequalities. Moreover, we obtain, under some c…

math.DG2017

$p$ -Laplacian first eigenvalues controls on Finsler manifolds

Cyrille Combete, Serge Degla, Leonard Todjihounde

Given a Finsler manifold $(M, F)$ , it is proved that the first eigenvalue of the Finslerian $p$ -Laplacian is bounded above by a constant depending on $p$ , the dimension of $M$ , th…

Harnack inequalities for positive solutions of the heat equation on closed Finsler manifolds

p-Laplacian first eigenvalues controls on Finsler manifolds

$p$ -Laplacian first eigenvalues controls on Finsler manifolds