A quantitative Sobolev inequality in BV |
| |
| Authors: | Andrea Cianchi |
| |
| Affiliation: | Dipartimento di Matematica e Applicazioni per l'Architettura, Università di Firenze, Piazza Ghiberti 27, 50122 Firenze, Italy |
| |
| 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. |
| |
| Keywords: | Sobolev inequalities Isoperimetric inequalities Remainder terms Functions of bounded variation Lorentz spaces |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
