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Vidéo Année : 2015

G. Alberti - Introduction to minimal surfaces and finite perimeter sets (Part 3)

Afficher 

Fanny Bastien
Jérémy Magnien
  • Fonction : Monteur
  • PersonId : 966327

Résumé

In these lectures I will first recall the basic notions and results that are needed to study minimal surfaces in the smooth setting (above all the area formula and the first variation of the area), give a short review of the main (classical) techniques for existence results, and then outline the theory of Finite Perimeter Sets, including the main results of the theory (compactness, structure of distributional derivative, rectifiability). If time allows, I will conclude with a few applications.

Dates et versions

medihal-01316714 , version 1 (06-06-2016)

Licence

Paternité - Pas d'utilisation commerciale - Pas de modification

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  • HAL Id : medihal-01316714 , version 1

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Giovanni Alberti, Fanny Bastien, Jérémy Magnien. G. Alberti - Introduction to minimal surfaces and finite perimeter sets (Part 3) : Summer School 2015 - Geometric measure theory and calculus of variations: theory and applications. 2015. ⟨medihal-01316714⟩
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