On a conformally invariant integral equation involving Poisson kernel
Analysis of PDEs
2018-09-03 v1
Abstract
We study a prescribing functions problem of a conformally invariant integral equation involving Poisson kernel on the unit ball. This integral equation is not the dual of any standard type of PDE. As in Nirenberg problem, there exists a Kazdan-Warner type obstruction to existence of solutions. We prove existence in the antipodal symmetry functions class.
Cite
@article{arxiv.1709.04124,
title = {On a conformally invariant integral equation involving Poisson kernel},
author = {Jingang Xiong},
journal= {arXiv preprint arXiv:1709.04124},
year = {2018}
}
Comments
13 pages