Cheeger's constant and the first eigenvalue of a closed Finsler manifold

Abstract

In this paper, we consider Cheeger's constant and the first eigenvalue of the nonlinear Laplacian on closed Finsler manifolds. Being based on these, we establish Cheeger's inequality and Buser's inequality for closed Finsler manifolds.

Cited by in corpus (2)

• Improved Hardy and Rellich inequalities on nonreversible Finsler manifolds
• $p$-Laplacian first eigenvalues controls on Finsler manifolds