Boundary regularity for quasiminima of double-phase problems on metric spaces
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866913957607899136 |
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| author | Nastasi, Antonella Camacho, Cintia Pacchiano |
| author_facet | Nastasi, Antonella Camacho, Cintia Pacchiano |
| contents | We give a sufficient condition for Hölder continuity at a boundary point for quasiminima of double-phase functionals of $p,q$-Laplace type, in the setting of metric measure spaces equipped with a doubling measure and supporting a Poincaré inequality. We use a variational approach based on De Giorgi-type conditions to give a pointwise estimate near a boundary point. The proofs are based on a careful phase analysis and estimates in the intrinsic geometries. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2412_04978 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Boundary regularity for quasiminima of double-phase problems on metric spaces Nastasi, Antonella Camacho, Cintia Pacchiano Analysis of PDEs Metric Geometry 49Q20, 49N60, 31C45, 35J60, 46E35 We give a sufficient condition for Hölder continuity at a boundary point for quasiminima of double-phase functionals of $p,q$-Laplace type, in the setting of metric measure spaces equipped with a doubling measure and supporting a Poincaré inequality. We use a variational approach based on De Giorgi-type conditions to give a pointwise estimate near a boundary point. The proofs are based on a careful phase analysis and estimates in the intrinsic geometries. |
| title | Boundary regularity for quasiminima of double-phase problems on metric spaces |
| topic | Analysis of PDEs Metric Geometry 49Q20, 49N60, 31C45, 35J60, 46E35 |
| url | https://arxiv.org/abs/2412.04978 |