Alexandrov、Serrin、Weinberger、Reilly：基于积分恒等式的对称性与稳定性
偏微分方程分析
2017-09-27 v1
摘要
标题中的杰出名字与著名的肥皂泡定理及某些超定边值问题中径向对称性的极具影响力的证明有关。我们将概述这些结果并指出它们的一些推广。我们还将展示更近期的证明如何为相关问题揭示通向某些稳定性结果的路径。
引用
@article{arxiv.1709.08939,
title = {Alexandrov, Serrin, Weinberger, Reilly: simmetry and stability by integral identities},
author = {Rolando Magnanini},
journal= {arXiv preprint arXiv:1709.08939},
year = {2017}
}
备注
14 pages; This is an expanded version of a talk given by the author at the Bruno Pini Mathematical Analysis Seminar in Bologna (Italy). It is mainly an overview of old and recent results. Theorem 7 and Section 11 seem to be new, though. Remarks and comments are welcome