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A sharp lower bound for the first eigenvalue on Finsler manifolds. (English) Zbl 1286.35179

Summary: In this paper, we give a sharp lower bound for the first (nonzero) Neumann eigenvalue of the Finsler-Laplacian in Finsler manifolds in terms of diameter, dimension, weighted Ricci curvature.

MSC:

35P15 Estimates of eigenvalues in context of PDEs
53C60 Global differential geometry of Finsler spaces and generalizations (areal metrics)
35A23 Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals
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