Some analytic results on interpolating sesqui-harmonic maps
Differential Geometry
2020-09-16 v2 Analysis of PDEs
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.
Cite
@article{arxiv.1907.04167,
title = {Some analytic results on interpolating sesqui-harmonic maps},
author = {Volker Branding},
journal= {arXiv preprint arXiv:1907.04167},
year = {2020}
}