Work

Stability of Serrin-Type Overdetermined Problems for the $p$-Laplacian and Related Operators

Year: 2026

Type: preprint

Abstract: We investigate a Serrin-type overdetermined problem for the $p$-Laplacian and establish a quantitative stability estimate under suitable convexity and regularity assumptions on the domain, the solution, and the operator. Our method also applies to a class of generalized divergence-form elliptic operators.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.27953

Authors: Zhang, Yingfang, Zou, Wenming

Institution: Tsinghua University

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Natural Science Foundation of China, National Key Research and Development Program of China

Awards: G2908473710, G8593688678