Calculus of Variations and Geometric Measure Theory
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F. Maggi

Sets of Finite Perimeter and Geometric Variational Problems: an Introduction to Geometric Measure Theory

created by maggi on 13 Jul 2012
modified on 16 Jul 2012

[BibTeX]

Book extract

Inserted: 13 jul 2012
Last Updated: 16 jul 2012

Year: 2012
Notes:

to appear as Cambridge Studies in Advanced Mathematics no. 135, Cambridge University Press


Links: the book on CUP website

Abstract:

This is an extract from a book about sets of finite perimeter and their applications to the study of isoperimetric-type problems, to appear in August 2012.

The aim of the book is to introduce the reader to a set of crucial ideas and techniques that are needed to discuss the existence and regularity properties of minimizers in geometric variational problems, as well as in the description of their qualitative properties, like symmetry, boundedness, convexity, etc.

The book is divided in four parts, opened by rather detailed synopses, which are contained in this extract.


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