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Sharp Morrey-Sobolev inequalities and the distance from extremals

Author(s): Andrea Cianchi
Journal: Trans. Amer. Math. Soc. 360 (2008), 4335-4347.
MSC (2000): Primary 46E35, 46E30
Posted: March 14, 2008
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Abstract | References | Similar articles | Additional information

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.

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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

DOI: 10.1090/S0002-9947-08-04491-7
PII: S 0002-9947(08)04491-7
Keywords: Sobolev inequalities, remainder terms, symmetrizations.
Received by editor(s): August 18, 2006
Posted: March 14, 2008
Copyright of article: Copyright 2008, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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