Geometric Measure Theory and Real Analysis

Geometric Measure Theory and Real Analysis

by Luigi Ambrosio (Editor)


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Geometric Measure Theory and Real Analysis by Luigi Ambrosio

In 2013, a school on Geometric Measure Theory and Real Analysis, organized by G. Alberti, C. De Lellis and myself, took place at the Centro De Giorgi in Pisa, with lectures by V. Bogachev, R. Monti, E. Spadaro and D. Vittone.

The book collects the notes of the courses. The courses provide a deep and up to date insight on challenging mathematical problems and their recent developments: infinite-dimensional analysis, minimal surfaces and isoperimetric problems in the Heisenberg group, regularity of sub-Riemannian geodesics and the regularity theory of minimal currents in any dimension and codimension.

Product Details

ISBN-13: 9788876425226
Publisher: Scuola Normale Superiore
Publication date: 04/17/2015
Series: Publications of the Scuola Normale Superiore , #17
Edition description: 2014
Pages: 250
Product dimensions: 6.10(w) x 9.25(h) x (d)

Table of Contents

Vladimir I. Bogachev: Sobolev classes on infinite-dimensional spaces.- Roberto Monti: Isoperimetric problem and minimal surfaces in the Heisenberg group.- Emanuele Spadaro: Regularity of higher codimension area minimizing integral currents.- Davide Vittone: The regularity problem for sub-Riemannian geodesics.

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