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Existence of solutions to a conformally invariant integral equation involving Poisson-type kernels (2303.06449v1)

Published 11 Mar 2023 in math.AP

Abstract: In this paper, we study existence of solutions to a conformally invariant integral equation involving Poisson-type kernels. Such integral equation has a stronger non-local feature and is not the dual of any PDE. We obtain the existence of solutions in the antipodal symmetry class.