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math.AP2011★ 2 cited
A sharp lower bound for the first eigenvalue on Finsler manifolds
Guofang Wang, Chao Xia
In this paper, we give a sharp lower bound for the first (nonzero) Neumann eigenvalue of Finsler-Laplacian in Finsler manifolds in terms of diameter, dimension, weighted Ricci curv…
math.AP2011★ 11 cited
An optimal anisotropic Poincaré inequality for convex domains
Guofang Wang, Chao Xia
In this paper, we prove a sharp lower bound of the first (nonzero) eigenvalue of Finsler-Laplacian with the Neumann boundary condition. Equivalently, we prove an optimal anisotropi…