An $\varepsilon$-regularity result with mean curvature control for Willmore immersions and application to minimal bubbling
Analysis of PDEs
2023-02-20 v2 Differential Geometry
Abstract
In this paper we prove a convergence result for sequences of Willmore immersions with simple minimal bubbles. To this end we replace the total curvature control in T. Rivi\`ere's proof of the -regularity for Willmore immersions by a control of the local Willmore energy.
Keywords
Cite
@article{arxiv.1904.05215,
title = {An $\varepsilon$-regularity result with mean curvature control for Willmore immersions and application to minimal bubbling},
author = {Nicolas Marque},
journal= {arXiv preprint arXiv:1904.05215},
year = {2023}
}
Comments
42 pages, 2 figures, new version after reviewer's comments for publication