log-concavity of eigenfunction and Brunn-Minkowski inequality of eigenvalue for weighted p-Laplace operator

2024/11/25 by Lei Qin, Qin, Lei · 1 citation
Mathematics · #Analysis of PDEs (math.AP) #Analytic and geometric function theory #FOS: Mathematics #Mathematical Inequalities and Applications #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.2411.16377

openalex publication_date 2024/11/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we investigate the log-concavity property of the first eigenfunction to the weighted p-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 p-Laplace operator in the class of C² convex bodies in \Rⁿ

Cited by

• The strong log-concavity for first eigenfunction of the Ornstein-Uhlenbeck operator in the class of convex bodies

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