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.
@article{AIHPC_2013__30_6_983_0,
author = {Wang, Guofang and Xia, Chao},
title = {A sharp lower bound for the first eigenvalue on Finsler manifolds},
journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
volume = {30},
year = {2013},
pages = {983-996},
doi = {10.1016/j.anihpc.2012.12.008},
mrnumber = {3132412},
zbl = {1286.35179},
language = {en},
url = {http://dml.mathdoc.fr/item/AIHPC_2013__30_6_983_0}
}
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) pp. 983-996. doi : 10.1016/j.anihpc.2012.12.008. http://gdmltest.u-ga.fr/item/AIHPC_2013__30_6_983_0/
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