JournalsjemsVol. 11, No. 5pp. 1105–1139

The sharp Sobolev inequality in quantitative form

  • Andrea Cianchi

    Universita di Firenze, Italy
  • Nicola Fusco

    Università degli Studi di Napoli Federico II, Italy
  • Francesco Maggi

    The University of Texas at Austin, United States
  • Aldo Pratelli

    Universität Erlangen-Nürnberg, Germany
The sharp Sobolev inequality in quantitative form cover
Download PDF

Abstract

A quantitative version of the sharp Sobolev inequality in W_1,p (ℝ_n), 1 < p < n, is established with a remainder term involving the distance from the family of extremals.

Cite this article

Andrea Cianchi, Nicola Fusco, Francesco Maggi, Aldo Pratelli, The sharp Sobolev inequality in quantitative form. J. Eur. Math. Soc. 11 (2009), no. 5, pp. 1105–1139

DOI 10.4171/JEMS/176