Recent existence and regularity results for wave maps
Regularity and uniqueness of harmonic maps into and ellipsoid.
Regularity at the free boundary of two-dimensional stationary harmonic maps
Regularity for a non linear variational problem in dimension two.
Regularity of a Minimal Surface at its Free Boundary.
Regularity of minimizing harmonic maps into S4, S5 and symmetric spaces.
Regularity of minimizing harmonic maps into the sphere.
Regularity of Minimzing Harmonic Mappings into ellipsoids and similar other manifolds.
Regularity of p-harmonic maps from the p-dimensional ball into a sphere.
Regularity of p-harmonic maps into certain manifolds with positive sectional curvature.
Regularity of weakly harmonic maps from a surface into a manifold with symmetries.
Remarks on approximate harmonic maps.
Removability of singularities of harmonic maps into pseudo-riemannian manifolds
Ricci flow coupled with harmonic map flow
We investigate a coupled system of the Ricci flow on a closed manifold with the harmonic map flow of a map from to some closed target manifold ,where is a (possibly time-dependent) positive coupling constant. Surprisingly, the coupled system may be less singular than the Ricci flow or the harmonic map flow alone. In particular, we can always rule out energy concentration of a-priori by choosing large enough. Moreover, it suffices to bound the curvature of to also obtain control of ...
Rotationally symmetric harmonic maps from a ball into a sphere and the regularity problem for weak solutions of elliptic systems.
Rotationally Symmetric Harmonic Maps from a Ball into a Warped Product Manifold.