Existence and regularity of solutions for unbounded elliptic equations with singular nonlinearities
type: Item
instance of: scholarly article
title: Existence and regularity of solutions for unbounded elliptic equations with singular nonlinearities
zbMATH Open document ID: 1481.35202
DOI: 10.1155/2021/5589504
author: A. Bouhlal
author: Jaouad Igbida
published in: International Journal of Differential Equations
publication date: 2022-01-06T00:00:00Z
review text: Summary: For \(q,\gamma>0\), we study existence and regularity of solutions for unbounded elliptic problems whose simplest model is \[ \begin{cases} - \operatorname{div} \left[ (1 + \left| u\right|^q) \nabla u\right] = (f / \left| u\right|^\gamma) & \text{in } \Omega \\ u = 0 & \text{on } \partial \Omega \end{cases},\quad \text{where } f\in L^m(\Omega),\quad m\geq1. \]
Mathematics Subject Classification ID: 35J62
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 35B65
zbMATH DE Number: 7453301
zbMATH Keywords: quasilinear elliptic equation
zbMATH Keywords: Dirichlet problem
zbMATH Keywords: existence
zbMATH Keywords: regularity
Wikidata QID: Q115243685
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/5589504
OpenAlex ID: W3157796535
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description: scientific article; zbMATH DE number 7453301