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
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