# User:Camillo.delellis

My homepage at the University of Zuerich.

My research interests are in analysis and differential geometry, especially in partial differential equations, calculus of variations, geometric measure theory and fluid mechanics. (2010 MSC [35xx], [49Jxx], [49Qxx], [76xx]).

## Pages which need to be expanded

### Sobolev space

The page contains very little apart from the definition. In particular it lacks: alternative definitions; approximation properties; product and chain rules; trace theorems; extension theorems; Morrey, Sobolev and Poincaré inequalities; embedding theorems; approximate continuity; approximate differentiability; variants (e.g. $W^{1,p}_0$, spaces used for the Stokes operator); fractional (Sobolev-Slobodecky) and negative spaces; capacity; recent extensions to general targets and general domains.

## Further pages related to my mathematical interests

And which I will take a look at and most likely modify (sooner or later!).

## Some statistics

How to Cite This Entry:
Camillo.delellis. Encyclopedia of Mathematics. URL: http://www.encyclopediaofmath.org/index.php?title=Camillo.delellis&oldid=32420