2 June 2014
Biharmonic maps are the solutions of a variational problem for maps between Riemannian manifolds. But since the underlying functional contains nonlinear differential operators that behave badly on the usual Sobolev spaces, it is difficult to study it with variational methods. If the target manifold has enough symmetry, however, then we can combine analytic tools with geometric observations and make some statements about existence and regularity.
- Partial Differential Equations Seminar