log-concavity of eigenfunction and Brunn-Minkowski inequality of eigenvalue for weighted p-Laplace operator
Analysis of PDEs
2024-11-26 v1
Abstract
In this paper, we investigate the log-concavity property of the first eigenfunction to the weighted -Laplace operator in class of bounded, convex and smooth domain. Moreover, we prove a Brunn-Minkowski-type inequality for the first eigenvalue to the weighted -Laplace operator in the class of convex bodies in
Keywords
Cite
@article{arxiv.2411.16377,
title = {log-concavity of eigenfunction and Brunn-Minkowski inequality of eigenvalue for weighted p-Laplace operator},
author = {Lei Qin},
journal= {arXiv preprint arXiv:2411.16377},
year = {2024}
}