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On a conformally invariant integral equation involving Poisson kernel (1709.04124v1)
Published 13 Sep 2017 in math.AP
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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