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

Yingfang Zhang; Wenming Zou

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arXiv · 2610.27953

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

Yingfang Zhang·Wenming Zou

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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.

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BibTeX RIS

Yingfang Zhang, Wenming Zou. 2026-10-20. Stability of Serrin-Type Overdetermined Problems for the $p$-Laplacian and Related Operators. https://arxiv.org/abs/2610.27953

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