Regularity results for almost-minimizers of anisotropic free interface problem with Hölder dependence on the position
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913295880945664 |
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| author | Esposito, Luca Lamberti, Lorenzo Pisante, Giovanni |
| author_facet | Esposito, Luca Lamberti, Lorenzo Pisante, Giovanni |
| contents | We establish regularity results for almost-minimizers of a class of variational problems involving both bulk and interface energies. The bulk energy is of Dirichlet type. The surface energy exhibits anisotropic behaviour and is defined by means of an ellipsoidal density that is Hölder continuous with respect to the position variable. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_02086 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Regularity results for almost-minimizers of anisotropic free interface problem with Hölder dependence on the position Esposito, Luca Lamberti, Lorenzo Pisante, Giovanni Optimization and Control We establish regularity results for almost-minimizers of a class of variational problems involving both bulk and interface energies. The bulk energy is of Dirichlet type. The surface energy exhibits anisotropic behaviour and is defined by means of an ellipsoidal density that is Hölder continuous with respect to the position variable. |
| title | Regularity results for almost-minimizers of anisotropic free interface problem with Hölder dependence on the position |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2404.02086 |