Variants and applications of Gehring's lemma
In this thesis, we present and prove the celebrated Gehring's Lemma in $\mathbb{R}^n$, that unveils a self-improving property of reverse Hölder inequalities, considering inhomogeneity. Subsequently, we apply the former lemma to demonstrate the Meyers' estimate, which provides insight into...
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| Tipo de documento: | dissertação |
| Data de publicação: | 2023 |
| País: | España |
| Recursos: | Universitat Politècnica de Catalunya (UPC) |
| Repositório: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglês |
| OAI Identifier: | oai:upcommons.upc.edu:2117/398206 |
| Acesso em linha: | https://hdl.handle.net/2117/398206 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Differential equations, Elliptic Equacions diferencials el·líptiques Classificació AMS::35 Partial differential equations Àrees temàtiques de la UPC::Matemàtiques i estadística::Estadística matemàtica |
| Resumo: | In this thesis, we present and prove the celebrated Gehring's Lemma in $\mathbb{R}^n$, that unveils a self-improving property of reverse Hölder inequalities, considering inhomogeneity. Subsequently, we apply the former lemma to demonstrate the Meyers' estimate, which provides insight into the self-improving regularity of solutions of elliptic PDEs. |
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