On the regularity of Anisotropic p-Laplacean Operators: the pursuit of a comprehensive theory of regularity

With this note, we aim at drawing a short, coherent, and compact guide of the state-of-the-art on the theory of basic regularity, such as local boundedness, local Hölder continuity, Harnack estimates and some of their consequences, in the context of solutions to anisotropic p-Laplacean operators, el...

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Main Authors: Bashayer Majrashi, Vincenzo Vespri
Format: Article
Language:English
Published: University of Bologna 2024-01-01
Series:Bruno Pini Mathematical Analysis Seminar
Subjects:
Online Access:https://mathematicalanalysis.unibo.it/article/view/18878
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author Bashayer Majrashi
Vincenzo Vespri
author_facet Bashayer Majrashi
Vincenzo Vespri
author_sort Bashayer Majrashi
collection DOAJ
description With this note, we aim at drawing a short, coherent, and compact guide of the state-of-the-art on the theory of basic regularity, such as local boundedness, local Hölder continuity, Harnack estimates and some of their consequences, in the context of solutions to anisotropic p-Laplacean operators, elliptic and parabolic.
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spelling doaj.art-c20ed523b47f4bbf8bdcdc092f058ed22024-01-10T08:48:10ZengUniversity of BolognaBruno Pini Mathematical Analysis Seminar2240-28292024-01-0114224026210.6092/issn.2240-2829/1887817240On the regularity of Anisotropic p-Laplacean Operators: the pursuit of a comprehensive theory of regularityBashayer Majrashi0Vincenzo Vespri1KAUST (King Abdullah University of Science and Technology), Thuwal, Jeddah 23955-6900, Saudi ArabiaDipartimento di Matematica ed Informatica Ulisse Dini, Università di FirenzeWith this note, we aim at drawing a short, coherent, and compact guide of the state-of-the-art on the theory of basic regularity, such as local boundedness, local Hölder continuity, Harnack estimates and some of their consequences, in the context of solutions to anisotropic p-Laplacean operators, elliptic and parabolic.https://mathematicalanalysis.unibo.it/article/view/18878anisotropic p-laplaceanlocal regularityharnack estimates
spellingShingle Bashayer Majrashi
Vincenzo Vespri
On the regularity of Anisotropic p-Laplacean Operators: the pursuit of a comprehensive theory of regularity
Bruno Pini Mathematical Analysis Seminar
anisotropic p-laplacean
local regularity
harnack estimates
title On the regularity of Anisotropic p-Laplacean Operators: the pursuit of a comprehensive theory of regularity
title_full On the regularity of Anisotropic p-Laplacean Operators: the pursuit of a comprehensive theory of regularity
title_fullStr On the regularity of Anisotropic p-Laplacean Operators: the pursuit of a comprehensive theory of regularity
title_full_unstemmed On the regularity of Anisotropic p-Laplacean Operators: the pursuit of a comprehensive theory of regularity
title_short On the regularity of Anisotropic p-Laplacean Operators: the pursuit of a comprehensive theory of regularity
title_sort on the regularity of anisotropic p laplacean operators the pursuit of a comprehensive theory of regularity
topic anisotropic p-laplacean
local regularity
harnack estimates
url https://mathematicalanalysis.unibo.it/article/view/18878
work_keys_str_mv AT bashayermajrashi ontheregularityofanisotropicplaplaceanoperatorsthepursuitofacomprehensivetheoryofregularity
AT vincenzovespri ontheregularityofanisotropicplaplaceanoperatorsthepursuitofacomprehensivetheoryofregularity