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arXiv · 1907.04167

Some analytic results on interpolating sesqui-harmonic maps

Volker Branding
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Abstract

In this article we study various analytic aspects of interpolating sesqui-harmonic maps between Riemannian manifolds where we mostly focus on the case of a spherical target. The latter are critical points of an energy functional that interpolates between the functionals for harmonic and biharmonic maps. In the case of a spherical target we will derive a conservation law and use it to show the smoothness of weak solutions. Moreover, we will obtain several classification results for interpolating sesqui-harmonic maps.

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Volker Branding. 2019-07-09. Some analytic results on interpolating sesqui-harmonic maps. https://doi.org/10.1007/s10231-020-00955-w

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