A sharp lower bound for the first eigenvalue on Finsler manifolds
Annales de l'I.H.P. Analyse non linéaire, Tome 30 (2013) no. 6, pp. 983-996.

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 curvature.

DOI : 10.1016/j.anihpc.2012.12.008
Classification : 35P15, 53C60, 35A23
Mots-clés : Finsler-Laplacian, First eigenvalue, Weighted Ricci curvature, Poincaré inequality 
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     title = {A sharp lower bound for the first eigenvalue on {Finsler} manifolds},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
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Wang, Guofang; Xia, Chao. A sharp lower bound for the first eigenvalue on Finsler manifolds. Annales de l'I.H.P. Analyse non linéaire, Tome 30 (2013) no. 6, pp. 983-996. doi : 10.1016/j.anihpc.2012.12.008. http://www.numdam.org/articles/10.1016/j.anihpc.2012.12.008/

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