Title of article
A quantitative Sobolev inequality in BV
Author/Authors
Andrea Cianchi، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2006
Pages
16
From page
466
To page
481
Abstract
A quantitative version of the standard Sobolev inequality, with sharp constant, for functions u in
W1,1(Rn) (or BV(Rn)) is established in terms of a distance of u from the manifold of all multiples of
characteristic functions of balls. Inequalities involving non-Euclidean norms of the gradient are discussed
as well.
© 2005 Elsevier Inc. All rights reserved.
Keywords
Sobolev inequalities , Isoperimetric inequalities , Functions of bounded variation , Lorentzspaces , Remainder terms
Journal title
Journal of Functional Analysis
Serial Year
2006
Journal title
Journal of Functional Analysis
Record number
839174
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