Lipschitz approximation for general almost area minimizing currents
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866914936848908288 |
|---|---|
| author | Resende, Reinaldo |
| author_facet | Resende, Reinaldo |
| contents | We prove a Lipschitz approximation with superlinear error terms for integral currents $ω$-minimizing the area functional, where $ω$ is a modulus of continuity satisfying a Dini condition. We also present an almost monotonicity result for the density of these general almost area minimzing currents. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_12530 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Lipschitz approximation for general almost area minimizing currents Resende, Reinaldo Analysis of PDEs 49Q15, 49Q05, 53A10, 49Q20 We prove a Lipschitz approximation with superlinear error terms for integral currents $ω$-minimizing the area functional, where $ω$ is a modulus of continuity satisfying a Dini condition. We also present an almost monotonicity result for the density of these general almost area minimzing currents. |
| title | Lipschitz approximation for general almost area minimizing currents |
| topic | Analysis of PDEs 49Q15, 49Q05, 53A10, 49Q20 |
| url | https://arxiv.org/abs/2306.12530 |