Current research in the Applied & Nonlinear Analysis research program emphasises:
- elliptic and parabolic partial differential equations
- geometric and physical variational problems
- geometric partial differential equations
- geometric evolutions
- geometric measure theory
- optimal transportation
- affine differential geometry
- conformal differential geometry
- finite element and difference equation approximations
- geometry of fractals.
| Project | Status |
|---|---|
| Curve shortening flow | Potential |
| Eigenvalues of the Laplacian on Riemannian manifolds | Potential |
| Isometric embedding of two dimensional Riemannian manifolds | Potential |
| Isoperimetric problems, shape optimization & curvature flows | Potential |
| Mass transport problems | Potential |
| Minimal surfaces in the sphere | Potential |
| Surfaces of prescribed Gauss curvature | Potential |
| The Monge mass transportation problem | Potential |
| Viscosity solutions | Potential |
26
Nov
2018
