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Escobar constants of planar domains

Published 18 May 2019 in math.DG, math.AP, and math.OC | (1905.07634v3)

Abstract: We initiate the study of the higher-order Escobar constants $I_k(M)$, $k\geq 3$, on bounded planar domains $M$. The Escobar constants $I_k$ of the unit disk and a family of polygons are provided.

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