关于塞林型超决问题

IF 1.2 3区数学 Q1 MATHEMATICS

Milan Journal of Mathematics Pub Date : 2024-09-06 DOI:10.1007/s00032-024-00405-9

A. Celentano, C. Nitsch, C. Trombetti

引用次数: 0

摘要

在本文中，我们证明了一个椭圆方程组的 Serrin 型结果，该方程组同时具有 Dirichlet 条件和广义 Neumann 条件。利用这一工具，我们描述了一些域函数在体积约束下的临界形状。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On a Serrin Type Overdetermined Problem

In this paper, we prove a Serrin-type result for an elliptic system of equations, overdetermined with both Dirichlet and generalized Neumann conditions. With this tool, we characterize the critical shapes of some domain functionals under volume constraints.

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来源期刊

Milan Journal of Mathematics 数学-数学

CiteScore

2.60

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Milan Journal of Mathematics (MJM) publishes high quality articles from all areas of Mathematics and the Mathematical Sciences. The authors are invited to submit "articles with background", presenting a problem of current research with its history and its developments, the current state and possible future directions. The presentation should render the article of interest to a wider audience than just specialists. Many of the articles will be "invited contributions" from speakers in the "Seminario Matematico e Fisico di Milano". However, also other authors are welcome to submit articles which are in line with the "Aims and Scope" of the journal.