Locally Minimizing Smooth Harmonic Maps from Asymptotically at Manifolds into Spheres

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Abstract

By minimizing the so-called relative energy, we show that there exists a family of locally minimizing smooth harmonic maps from asymptotically flat manifolds into the standard sphere.

Keywords:

Harmonic map;Hardy inequality
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Locally Minimizing Smooth Harmonic Maps from Asymptotically at Manifolds into Spheres. (2020). Journal of Partial Differential Equations, 15(4), 13-27. https://global-sci.com/index.php/jpde/article/view/3999