Geometric Measure Theory and Real Analysis
Geometric Measure Theory and Real Analysis (Publications of the Scuola Normale Superiore, Book 17) by Luigi Ambrosio
English | 2015 | ISBN: 8876425225 | 250 pages | PDF | 1,5 MB
English | 2015 | ISBN: 8876425225 | 250 pages | PDF | 1,5 MB
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.