More weakly biharmonic maps from the ball to the sphere
Differential Geometry
2024-12-03 v2 Analysis of PDEs
Abstract
In this note we prove the existence of two proper biharmonic maps between the Euclidean ball of dimension bigger than four and Euclidean spheres of appropriate dimensions. We will also show that, in low dimensions, both maps are unstable critical points of the bienergy.
Cite
@article{arxiv.2403.02104,
title = {More weakly biharmonic maps from the ball to the sphere},
author = {Volker Branding},
journal= {arXiv preprint arXiv:2403.02104},
year = {2024}
}