Existence and Regularity of Solutions for Unbounded Elliptic Equations with Singular Nonlinearities

For q,γ>0, we study existence and regularity of solutions for unbounded elliptic problems whose simplest model is −div1+uq∇u=f/uγin Ωu=0on ∂Ω, where f∈LmΩ, m≥1.

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Main Authors: Aziz Bouhlal, Jaouad Igbida
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:International Journal of Differential Equations
Online Access:http://dx.doi.org/10.1155/2021/5589504
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author Aziz Bouhlal
Jaouad Igbida
author_facet Aziz Bouhlal
Jaouad Igbida
author_sort Aziz Bouhlal
collection DOAJ
description For q,γ>0, we study existence and regularity of solutions for unbounded elliptic problems whose simplest model is −div1+uq∇u=f/uγin Ωu=0on ∂Ω, where f∈LmΩ, m≥1.
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institution Kabale University
issn 1687-9643
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language English
publishDate 2021-01-01
publisher Wiley
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series International Journal of Differential Equations
spelling doaj-art-1b0d7581fa7a4f1e8909454801f4bca72025-08-20T03:54:24ZengWileyInternational Journal of Differential Equations1687-96431687-96512021-01-01202110.1155/2021/55895045589504Existence and Regularity of Solutions for Unbounded Elliptic Equations with Singular NonlinearitiesAziz Bouhlal0Jaouad Igbida1Laboratoire de Mathématiques et Applications, Faculty of Sciences, B.P.20, El Jadida, MoroccoLabo DGTIC, Department of Mathematics, CRMEF, El Jadida, MoroccoFor q,γ>0, we study existence and regularity of solutions for unbounded elliptic problems whose simplest model is −div1+uq∇u=f/uγin Ωu=0on ∂Ω, where f∈LmΩ, m≥1.http://dx.doi.org/10.1155/2021/5589504
spellingShingle Aziz Bouhlal
Jaouad Igbida
Existence and Regularity of Solutions for Unbounded Elliptic Equations with Singular Nonlinearities
International Journal of Differential Equations
title Existence and Regularity of Solutions for Unbounded Elliptic Equations with Singular Nonlinearities
title_full Existence and Regularity of Solutions for Unbounded Elliptic Equations with Singular Nonlinearities
title_fullStr Existence and Regularity of Solutions for Unbounded Elliptic Equations with Singular Nonlinearities
title_full_unstemmed Existence and Regularity of Solutions for Unbounded Elliptic Equations with Singular Nonlinearities
title_short Existence and Regularity of Solutions for Unbounded Elliptic Equations with Singular Nonlinearities
title_sort existence and regularity of solutions for unbounded elliptic equations with singular nonlinearities
url http://dx.doi.org/10.1155/2021/5589504
work_keys_str_mv AT azizbouhlal existenceandregularityofsolutionsforunboundedellipticequationswithsingularnonlinearities
AT jaouadigbida existenceandregularityofsolutionsforunboundedellipticequationswithsingularnonlinearities