Existence of solutions to the \(A\)-Laplace system via Young measures
type: Item
instance of: scholarly article
title: Existence of solutions to the \(A\)-Laplace system via Young measures
zbMATH Open document ID: 1471.35132
DOI: 10.4171/ZAA/1684
author: Farah Balaadich
author: E. Azroul
published in: Zeitschrift für Analysis und ihre Anwendungen
publication date: 2021-07-19T00:00:00Z
review text: Summary: We study the existence of solutions for the \(A\)-Laplace system of the form \[ \begin{cases} -\Delta_Au & =f\quad\text{in }\Omega,\\ u & =0\quad\text{on }\partial\Omega, \end{cases} \] where \(-\Delta_A u:=-\operatorname{div}(a(\vert Du\vert)Du)\). The existence result is proved by using the technique of Young measures.
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 35A01
zbMATH DE Number: 7372681
zbMATH Keywords: \(A\)-Laplacian
zbMATH Keywords: Dirichlet problem
zbMATH Keywords: existence
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.4171/zaa/1684
OpenAlex ID: W3154831216
description: scientific article; zbMATH DE number 7372681