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Existence of solutions to a conformally invariant integral equation involving Poisson-type kernels

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arxiv 2303.06449 v1 pith:4OBVYC3J submitted 2023-03-11 math.AP

Existence of solutions to a conformally invariant integral equation involving Poisson-type kernels

Xusheng Du , Tianling Jin , Hui Yang This is my paper
classification math.AP
keywords equationexistenceintegralsolutionsconformallyinvariantinvolvingkernels
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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.

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