The classical obstacle problem with Hölder continuous coefficients
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
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| _version_ | 1866916517181915136 |
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| author | Andreucci, Giovanna Focardi, Matteo |
| author_facet | Andreucci, Giovanna Focardi, Matteo |
| contents | Weiss' and Monneau's type quasi-monotonicity formulas are established for quadratic energies having matrix of coefficients which are Dini, double-Dini continuity, respectively. Free boundary regularity for the corresponding classical obstacle problems under Hölder continuity assumptions is then deduced. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2204_07535 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | The classical obstacle problem with Hölder continuous coefficients Andreucci, Giovanna Focardi, Matteo Analysis of PDEs 35R35 Weiss' and Monneau's type quasi-monotonicity formulas are established for quadratic energies having matrix of coefficients which are Dini, double-Dini continuity, respectively. Free boundary regularity for the corresponding classical obstacle problems under Hölder continuity assumptions is then deduced. |
| title | The classical obstacle problem with Hölder continuous coefficients |
| topic | Analysis of PDEs 35R35 |
| url | https://arxiv.org/abs/2204.07535 |