Existence of solutions to a conformally invariant integral equation involving Poisson-type kernels
Analysis of PDEs
2023-03-14 v1
Abstract
In this paper, we study existence of solutions to a conformally invariant integral equation involving Poisson-type kernels. Such integral equation has a stronger non-local feature and is not the dual of any PDE. We obtain the existence of solutions in the antipodal symmetry class.
Keywords
Cite
@article{arxiv.2303.06449,
title = {Existence of solutions to a conformally invariant integral equation involving Poisson-type kernels},
author = {Xusheng Du and Tianling Jin and Hui Yang},
journal= {arXiv preprint arXiv:2303.06449},
year = {2023}
}