Reilly-type upper bounds for the p-Steklov problem on submanifolds

2022/07/10 by Julien Roth, Abhitosh Upadhyay, Roth, Julien +1
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.2207.04510

openalex publication_date 2022/07/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove Reilly-type upper bounds for the first non-zero eigenvalue of the Steklov problem associated with the p-Laplace operator on submanifolds of manifolds with sectional curvature bounded form above by a non-negative constant.

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