Isoperimetric inequalities for eigenvalues by inverse mean curvature flow
Differential Geometry
2016-02-18 v1
Abstract
By studying the monotonicity of the first nonzero eigenvalues of Laplace and p-Laplace operators on a closed convex hypersurface which evolves under inverse mean curvature flow in , the isoperimetric lower bounds for both eigenvalues were founded.
Cite
@article{arxiv.1602.05290,
title = {Isoperimetric inequalities for eigenvalues by inverse mean curvature flow},
author = {Fangcheng Guo and Guanghan Li and Chuanxi Wu},
journal= {arXiv preprint arXiv:1602.05290},
year = {2016}
}
Comments
16 pages