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Quantitative truncation estimates for fractional Hardy-Sobolev optimizers (1907.06892v1)

Published 16 Jul 2019 in math.AP

Abstract: The general stability problem of truncations for a family of functions concentrating mass at the origin is described and a concrete example in the framework of entire optimizers for the fractional Hardy-Sobolev inequality is given. In this short note we point out some quantitative stability estimates, useful in dealing with critical $p-q$ fractional equations.

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