The first eigenfunctions and eigenvalue of the p-Laplacian on Finsler manifolds

被引：0

作者：

SongTing Yin

Qun He

机构：

[1] Tongling University,Department of Mathematics and Computer Science

[2] Tongling University,School of Mathematical Sciences

来源：

Science China Mathematics | 2016年 / 59卷

关键词：

the first eigenvalue; -Laplacian; Ricci curvature; curvature; 53C60; 35P15;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

This paper proves that the first eigenfunctions of the Finsler p-Lapalcian are C1,α. Using a gradient comparison theorem and one-dimensional model, we obtain the sharp lower bound of the first Neumann and closed eigenvalue of the p-Laplacian on a compact Finsler manifold with nonnegative weighted Ricci curvature, on which a lower bound of the first Dirichlet eigenvalue of the p-Laplacian is also obtained.

引用

页码：1769 / 1794

页数：25

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