Potential theory and applications in conformal geometry
Differential Geometry
2025-12-09 v1 Analysis of PDEs
Abstract
In this paper, we want to give an exposition of our recent work on linear and nonlinear potential theory and their applications in conformal geometry. We use potential theory to study linear and quasilinear equations arising from conformal geometry. We establish the asymptotic behavior near singularities and derive applications in conformal geometry. In particular, we establish some Huber's type theorems and Hausdorff dimension estimates of the ends in conformal geometry in general dimensions.
Cite
@article{arxiv.2512.06188,
title = {Potential theory and applications in conformal geometry},
author = {Shiguang Ma and Jie Qing},
journal= {arXiv preprint arXiv:2512.06188},
year = {2025}
}
Comments
19 pages, to appear in Note Di Matematica