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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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Cite

BibTeXRIS
BibTeX
@misc{zhang2026stability,
  title = {{Stability of Serrin-Type Overdetermined Problems for the $p$-Laplacian and Related Operators}},
  author = {Yingfang Zhang and Wenming Zou},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.27953},
  eprint = {2610.27953},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.27953},
}
RIS
TY  - UNPB
TI  - Stability of Serrin-Type Overdetermined Problems for the p-Laplacian and Related Operators
AU  - Yingfang Zhang
AU  - Wenming Zou
PY  - 2026
DA  - 2026/10/20
PB  - arXiv
DO  - 10.48550/arxiv.2610.27953
UR  - https://arxiv.org/abs/2610.27953
AB  - 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.
ER  -