Partial regularity of stable p-harmonic maps into spheres

Stable Stationary Harmonic Maps to Spheres

Dedicated to Professor WeiYue Ding on the occasion of his 60th birthday Abstract For k ≥ 3, we establish new estimate on Hausdorff dimensions of the singular set of stable-stationary harmonic maps to the sphere S. We show that the singular set of stable-stationary harmonic maps from B to S is the union of finitely many isolated singular points and finitely many Hölder continuous curves. We also...

3-Commutators Estimates and the Regularity of 1/2-Harmonic Maps into Spheres

We prove the regularity of weak 1/2−harmonic maps from the real line into a sphere. The key point in our result is first a formulation of the 1/2−harmonic map equation in the form of a non-local linear Schrödinger type equation with a 3-terms commutators in the right-hand-side . We then establish a sharp estimate for these 3-commutators.

Regularity of Harmonic Maps

Stable Exponentially Harmonic Maps Between Finsler Manifolds

Stability and singularities of harmonic maps into spheres