| Title | Density lower bound estimates for local minimizers of the 2d Mumford-Shah energy |
| Publication Type | Journal Article |
| Year of Publication | 2013 |
| Authors | De Lellis C., Focardi M. |
| Journal | Manuscripta Mathematica |
| Volume | 42 |
| Pagination | 215–232 |
| Publisher | Springer |
| Type of Article | geometric measure theory |
| ISSN | 0025-2611 |
| Abstract | We prove, using direct variational arguments, an explicit energy-treshold criterion for regular points of 2-dimensional Mumford-Shah energy minimizers. From this we infer an explicit constant for the density lower bound of De Giorgi, Carriero and Leaci. |
| Notes | Manuscripta Math. 142 (2013), 215-232. |
| URL | https://link.springer.com/article/10.1007/s00229-012-0601-y |
| DOI | 10.1007/s00229-012-0601-y |
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