| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4593006 | Journal of Functional Analysis | 2006 | 16 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
