JournalsaihpcVol. 30, No. 6pp. 983–996

A sharp lower bound for the first eigenvalue on Finsler manifolds

  • Guofang Wang

    Albert-Ludwigs-Universität Freiburg, Mathematisches Institut, Eckerstr. 1, 79104 Freiburg, Germany

  • Chao Xia

    Albert-Ludwigs-Universität Freiburg, Mathematisches Institut, Eckerstr. 1, 79104 Freiburg, Germany, Max-Planck-Institut für Mathematik in den Naturwissenschaften, Inselstr. 22, 04103, Leipzig, Germany
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Abstract

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.

Cite this article

Guofang Wang, Chao Xia, A sharp lower bound for the first eigenvalue on Finsler manifolds. Ann. Inst. H. Poincaré Anal. Non Linéaire 30 (2013), no. 6, pp. 983–996

DOI 10.1016/J.ANIHPC.2012.12.008