PPW and Chitti type inequalities for the Robin Laplacian operator
Analysis of PDEs
2014-02-12 v1
Abstract
In this paper, we prove two results for the Robin eigenvalue problem. One is an upper bound for the ratio of the first two eigenvalues which can be used to recover the PPW conjecture proved by M.S.Ashbaugh and R.D.Benguria, the other is a reverse Holder inequality for the first eigenfunction which is a natural generalization of Chiti's reverse Holder inequality for the first eigenfunction of Dirichlet Laplacian.
Cite
@article{arxiv.1402.2338,
title = {PPW and Chitti type inequalities for the Robin Laplacian operator},
author = {Qiuyi Dai and Feilin Shi},
journal= {arXiv preprint arXiv:1402.2338},
year = {2014}
}
Comments
23pages