Approximation of maps into spheres by regulous maps

Remarks on biharmoni maps into spheres

Remarks on biharmonic maps into spheres

We prove an apriori estimate in Morrey spaces for both intrinsic and extrinsic biharmonic maps into spheres. As applications, we prove an energy quantization theorem for biharmonic maps from 4-manifolds into spheres and a partial regularity for stationary intrinsic biharmonic maps into spheres. x

Approximation of Maps into Lipscomb’s Space by Embeddings

Fast and Accurate Finite Element Approximation of Wave Maps into Spheres

A constraint preserving numerical method for the approximation of wave maps into spheres is presented. The scheme has a second order consistency property and is energy preserving and reversible. Its unconditional convergence to an exact solution is proved. A fixed point iteration allows for a solution of the nonlinear system of equations in each time step under a moderate step size restriction.

Stability and singularities of harmonic maps into spheres