Carleman estimates for stationary $Q$-valued maps: a variational approach
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866913998232879104 |
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| author | Halavati, Aria Spolaor, Luca |
| author_facet | Halavati, Aria Spolaor, Luca |
| contents | We prove a Carleman-type estimate for Dirichlet-stationary multivalued functions and apply it to give a different proof of the optimal dimension of the singular set of Dir-minimizing multivalued functions, originally due to Almgren and to De Lellis-Spadaro. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_14388 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Carleman estimates for stationary $Q$-valued maps: a variational approach Halavati, Aria Spolaor, Luca Analysis of PDEs We prove a Carleman-type estimate for Dirichlet-stationary multivalued functions and apply it to give a different proof of the optimal dimension of the singular set of Dir-minimizing multivalued functions, originally due to Almgren and to De Lellis-Spadaro. |
| title | Carleman estimates for stationary $Q$-valued maps: a variational approach |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2508.14388 |