English

Optimal quantitative stability for a Serrin-type problem in convex cones

Analysis of PDEs 2023-09-06 v1

Abstract

We consider a Serrin-type problem in convex cones in the Euclidean space and motivated by recent rigidity results we study the quantitative stability issue for this problem. In particular, we prove both sharp Lipschitz estimates for an L2L^2-pseudodistance and estimates in terms of the Hausdorff distance.

Keywords

Cite

@article{arxiv.2309.02128,
  title  = {Optimal quantitative stability for a Serrin-type problem in convex cones},
  author = {Filomena Pacella and Giorgio Poggesi and Alberto Roncoroni},
  journal= {arXiv preprint arXiv:2309.02128},
  year   = {2023}
}

Comments

arXiv admin note: substantial text overlap with arXiv:2211.09429

R2 v1 2026-06-28T12:12:58.998Z