Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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G. Ciraolo - A. Roncoroni

The method of moving planes: a quantitative approach

created by roncoroni on 21 Oct 2022
modified on 17 Oct 2023


Published Paper

Inserted: 21 oct 2022
Last Updated: 17 oct 2023

Journal: Bruno Pini Mathematical Analysis Seminar
Year: 2018

ArXiv: 1811.05202 PDF


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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