STABLE f-HARMONIC MAPS ON SPHERE

Stable Exponentially Harmonic Maps Between Finsler Manifolds

stable exponentially harmonic maps between finsler manifolds

A Remark on Harmonic Maps into the Unit Sphere

Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract We shall consider harmonic maps from a smooth bounded domain in R n to the unit sphere S k ⊂ R k+1 under the Dirichlet condition. We claim that if the Dirichlet data is so-called " small " , all minimizers of the energy functi...

F-harmonic Maps as Global Maxima

In this note, we show that some F -harmonic maps into spheres are global maxima of the variations of their energy functional on the conformal group of the sphere. Our result extends partially those obtained in [15] and [17] for harmonic and p-harmonic maps.

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...