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

IF 1 3区 数学 Q1 MATHEMATICS Mathematische Zeitschrift Pub Date : 2024-07-15 DOI:10.1007/s00209-024-03555-z
Filomena Pacella, Giorgio Poggesi, Alberto Roncoroni
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引用次数: 0

Abstract

We consider a Serrin’s 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 \(L^2\)-pseudodistance and estimates in terms of the Hausdorff distance.

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凸锥体中塞林型问题的最佳定量稳定性
我们考虑了欧几里得空间凸锥中的塞林类问题,并受近期刚性结果的启发,研究了该问题的定量稳定性问题。特别是,我们证明了 \(L^2\)-pseudodistance 的尖锐 Lipschitz 估计值和 Hausdorff 距离的估计值。
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来源期刊
CiteScore
1.60
自引率
0.00%
发文量
236
审稿时长
3-6 weeks
期刊介绍: "Mathematische Zeitschrift" is devoted to pure and applied mathematics. Reviews, problems etc. will not be published.
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