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arXiv · 1709.04124

On a conformally invariant integral equation involving Poisson kernel

Jingang Xiong
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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.

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Jingang Xiong. 2017-09-13. On a conformally invariant integral equation involving Poisson kernel. https://arxiv.org/abs/1709.04124

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