The sharp Sobolev inequality in quantitative form

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Abstract

A quantitative version of the sharp Sobolev inequality in W 1;p(ℝn), 1 < p < n, is established with a remainder term involving the distance from the family of extremals. © European Mathematical Society 2009.

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Cianchi, A., Fusco, N., Maggi, F., & Pratelli, A. (2009). The sharp Sobolev inequality in quantitative form. Journal of the European Mathematical Society, 11(5), 1105–1139. https://doi.org/10.4171/JEMS/176

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