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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Xiong, J.G. On a Conformally Invariant Integral Equation Involving Poisson Kernel. Acta. Math. Sin.-English Ser. 34, 681–690 (2018). https://doi.org/10.1007/s10114-018-7309-1
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DOI: https://doi.org/10.1007/s10114-018-7309-1