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.
Quantitative truncation estimates for fractional Hardy-Sobolev optimizers
Marano S. A.;Mosconi S.
2020-01-01
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.File in questo prodotto:
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