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.

Giulio Ciraolo, Alberto Roncoroni (2018). The method of moving planes: a quantitative approach. BRUNO PINI MATHEMATICAL ANALYSIS SEMINAR, 9(2018), 41-77 [10.6092/issn.2240-2829/8944].

The method of moving planes: a quantitative approach

Giulio Ciraolo
;
2018-01-01

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.
2018
Settore MAT/05 - Analisi Matematica
Giulio Ciraolo, Alberto Roncoroni (2018). The method of moving planes: a quantitative approach. BRUNO PINI MATHEMATICAL ANALYSIS SEMINAR, 9(2018), 41-77 [10.6092/issn.2240-2829/8944].
File in questo prodotto:
File Dimensione Formato  
34 - Ciraolo_Roncoroni_BrunoPini.pdf

accesso aperto

Dimensione 395.28 kB
Formato Adobe PDF
395.28 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/340023
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? 4
social impact