Compactness Results for Sequences of Approximate Biharmonic Maps
Analysis of PDEs
2016-01-20 v3 Differential Geometry
Abstract
In this article, we prove energy quantization for approximate (intrinsic and extrinsic) biharmonic maps into spheres where the approximate map is in . Moreover, we demonstrate that if the norm of the approximate maps does not concentrate, the image of the bubbles are connected without necks.
Cite
@article{arxiv.1312.5787,
title = {Compactness Results for Sequences of Approximate Biharmonic Maps},
author = {Christine Breiner and Tobias Lamm},
journal= {arXiv preprint arXiv:1312.5787},
year = {2016}
}