The method of moving planes: a quantitative approach

Authors

  • Giulio Ciraolo Università degli Studi di Palermo
  • Alberto Roncoroni Università degli Studi di Pavia

DOI:

https://doi.org/10.6092/issn.2240-2829/8944

Keywords:

Alexandrov Soap Bubble Theorem, overdetermined problems, rigidity, stability, mean curvature, moving planes

Abstract

We review classical results where the method of the moving planes has been used to prove symmetry properties for overdetermined PDE's boundary value problems (such as Serrin's overdetermined problem) and for rigidity problems in geometric analysis (like Alexandrov soap bubble Theorem), and we give an overview of some recent results related to quantitative studies of the method of moving planes, where quantitative approximate symmetry results are obtained.

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Published

2018-12-31

How to Cite

Ciraolo, G., & Roncoroni, A. (2018). The method of moving planes: a quantitative approach. Bruno Pini Mathematical Analysis Seminar, 9(1), 41–77. https://doi.org/10.6092/issn.2240-2829/8944

Issue

Seminars 2018

Section

Articles

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Copyright (c) 2018 Giulio Ciraolo, Alberto Roncoroni

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