An isoperimetric inequality for a biharmonic Steklov problem

2021/05/26 by Shan Li, Jing Mao, Li, Shan +1
Computer Science · Mathematics · #35P15 #53C42 #Advanced Mathematical Modeling in Engineering #Differential Geometry (math.DG) #FOS: Mathematics #Nonlinear Partial Differential Equations #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.2105.12401

openalex publication_date 2021/05/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For the biharmonic Steklov eigenvalue problem considered in this paper, we show that among all bounded Euclidean domains of class C¹ with fixed measure, the ball maximizes the first positive eigenvalue.

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