| Autor: |
Björn, Anders, Björn, Jana, Latvala, Visa |
| Rok vydání: |
2022 |
| Předmět: |
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| Zdroj: |
J. Differential Equations 365 (2023), 812-831 |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1016/j.jde.2023.05.009 |
| Popis: |
In this paper, several convergence results for fine $p$-(super)minimizers on quasiopen sets in metric spaces are obtained. For this purpose, we deduce a Caccioppoli-type inequality and local-to-global principles for fine $p$-(super)minimizers on quasiopen sets. A substantial part of these considerations is to show that the functions belong to a suitable local fine Sobolev space. We prove our results for a complete metric space equipped with a doubling measure supporting a $p$-Poincar\'e inequality with $1Comment: arXiv admin note: text overlap with arXiv:2106.13738 |
| Databáze: |
arXiv |
| Externí odkaz: |
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