On a conformally invariant integral equation involving Poisson kernel

Published 13 Sep 2017 in math.AP | (1709.04124v1)

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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Authors (1)

Jingang Xiong

Citations (4)

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