Conservation laws for even order elliptic systems in the critical dimension -- a new approach
Analysis of PDEs
2021-04-20 v2 Differential Geometry
Abstract
We consider elliptic systems of order in dimension which are generalizations of extrinsic and intrinsic polyharmonic maps. We show the existence of a conservation law for these systems by using a small perturbation of Uhlenbeck's gauge fixing matrix.
Cite
@article{arxiv.2005.06220,
title = {Conservation laws for even order elliptic systems in the critical dimension -- a new approach},
author = {Jasmin Hörter and Tobias Lamm},
journal= {arXiv preprint arXiv:2005.06220},
year = {2021}
}
Comments
Extended version, to appear in Calc. Var