| Title | Higher integrability of the gradient for minimizers of the 2d Mumford-Shah energ |
| Publication Type | Journal Article |
| Year of Publication | 2013 |
| Authors | De Lellis C., Focardi M. |
| Journal | Journal de Mathématiques Pures et Appliquées |
| Volume | 100 |
| Pagination | 391–409 |
| Date Published | September |
| Publisher | Elsevier |
| Type of Article | geometric measure theory |
| ISSN | 0021-7824 |
| Abstract | We prove the existence of an exponent p\ensuremath> 2 with the property that the approximate gradient of any local minimizer of the 2-dimensional Mumford-Shah energy belongs to Lloc p. |
| Notes | J. Math. Pures Appl. (9) 100 (2013), 391-409. |
| URL | https://www.sciencedirect.com/science/article/pii/S0021782413000147 |
| DOI | 10.1016/j.matpur.2013.01.006 |
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