The sharp quantitative Sobolev inequality for functions of bounded variation

Fusco N, Maggi F, Pratelli A (2007)

Publication Language: English

Publication Status: Published

Publication Type: Journal article

Publication year: 2007

Journal

Journal of Functional Analysis Elsevier

Publisher: Elsevier

Book Volume: 244

Pages Range: 315-341

Journal Issue: 1

DOI: 10.1016/j.jfa.2006.10.015

Abstract

The classical Sobolev embedding theorem of the space of functions of bounded variation BV(R-n) into L-n' (R-n) is proved in a sharp quantitative form. (c) 2006 Elsevier Inc. All rights reserved.

Authors with CRIS profile

Aldo Pratelli Lehrstuhl für Analysis

Involved external institutions

Università degli Studi di Firenze / University of Florence IT Italy (IT) Università degli Studi di Napoli Federico II IT Italy (IT)

How to cite

APA:

Fusco, N., Maggi, F., & Pratelli, A. (2007). The sharp quantitative Sobolev inequality for functions of bounded variation. Journal of Functional Analysis, 244(1), 315-341. https://dx.doi.org/10.1016/j.jfa.2006.10.015

MLA:

Fusco, Nicola, Francesco Maggi, and Aldo Pratelli. "The sharp quantitative Sobolev inequality for functions of bounded variation." Journal of Functional Analysis 244.1 (2007): 315-341.

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