A Note on Alberti's Luzin-Type Theorem for Gradients
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2019
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866917228557893632 |
|---|---|
| author | Li, Siran |
| author_facet | Li, Siran |
| contents | We give a "soft" proof of Alberti's Luzin-type theorem in [1] (G. Alberti, A Lusintype theorem for gradients, J. Funct. Anal. 100 (1991)), using elementary geometric measure theory and topology. Applications to the $C^2$-rectifiability problem are also discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1910_02537 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | A Note on Alberti's Luzin-Type Theorem for Gradients Li, Siran Analysis of PDEs Differential Geometry We give a "soft" proof of Alberti's Luzin-type theorem in [1] (G. Alberti, A Lusintype theorem for gradients, J. Funct. Anal. 100 (1991)), using elementary geometric measure theory and topology. Applications to the $C^2$-rectifiability problem are also discussed. |
| title | A Note on Alberti's Luzin-Type Theorem for Gradients |
| topic | Analysis of PDEs Differential Geometry |
| url | https://arxiv.org/abs/1910.02537 |