My research interests are
- Geometric Analysis: Sobolev maps between manifolds
- Nonlinear elliptic PDEs: connection with Measure Theory
- Removable singularities and unique continuation principles
The latter two are developed in a recent monograph that received the 2014 EMS Monograph Award :
Augusto Ponce, Elliptic PDEs, Measures and Capacities. From the
Poisson equation to Nonlinear Thomas-Fermi problems. EMS Tracts in
Mathematics. European Mathematical Society (EMS), Zürich, 350 pp.
