Sharp Morrey-Sobolev inequalities and the distance from extremals
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Abstract:
Quantitative versions of sharp estimates for the supremum of Sobolev functions in $W^{1,p}(\mathbb {R}^n)$, $p>n$, with remainder terms depending on the distance from the families of extremals, are established.References
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Additional Information
- Andrea Cianchi
- Affiliation: Dipartimento di Matematica e Applicazioni per l’Architettura, Università di Firenze, Piazza Ghiberti 27, 50122 Firenze, Italy
- Email: cianchi@unifi.it
- Received by editor(s): August 18, 2006
- Published electronically: March 14, 2008
- © Copyright 2008
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 360 (2008), 4335-4347
- MSC (2000): Primary 46E35, 46E30
- DOI: https://doi.org/10.1090/S0002-9947-08-04491-7
- MathSciNet review: 2395175