Existence of solutions to a conformally invariant integral equation involving Poisson-type kernels

Xusheng Du; Tianling Jin; Hui Yang

paper

Existence of solutions to a conformally invariant integral equation involving Poisson-type kernels

arXiv:2303.06449

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.