Non-uniformly elliptic variational problems on BV
- We establish W1,1-regularity and higher gradient integrability for relaxed minimizers of convex integral functionals on BV. Unlike classical examples such as the minimal surface integrand, we only require linear growth from below but not necessarily from above. This typically comes with a non-uniformly degenerate elliptic behaviour, for which our results extend the presently available bounds from the superlinear growth case in a sharp way.
| Author: | Lisa BeckORCiDGND, Franz Gmeineder, Mathias Schäffner |
|---|---|
| URN: | urn:nbn:de:bvb:384-opus4-1327701 |
| Frontdoor URL | https://opus.bibliothek.uni-augsburg.de/opus4/132770 |
| ISSN: | 0025-5831OPAC |
| ISSN: | 1432-1807OPAC |
| Parent Title (German): | Mathematische Annalen |
| Publisher: | Springer |
| Place of publication: | Berlin |
| Type: | Article |
| Language: | English |
| Date of first Publication: | 2026/08/21 |
| Publishing Institution: | Universität Augsburg |
| Release Date: | 2026/08/31 |
| Tag: | 26B30; 35B65; 35J60; 49J45 |
| Volume: | 396 |
| Issue: | 1 |
| First Page: | 18 |
| DOI: | https://doi.org/10.1007/s00208-026-03501-w |
| Institutes: | Mathematisch-Naturwissenschaftlich-Technische Fakultät |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik | |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik / Lehr- und Forschungseinheit Angewandte Analysis | |
| Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
| Licence (German): |  CC-BY 4.0: Creative Commons: Namensnennung |
