Nonlinear elliptic equation with deviating arguments
type: Item
instance of: scholarly article
zbMATH Open document ID: 1342.35106
author: Lassana Samassi
author: Namory Coulibaly
author: Mouhamadou Dosso
publication date: 2016-03-22T00:00:00Z
Mathematics Subject Classification ID: 35J60
zbMATH DE Number: 6559207
zbMATH Keywords: elliptic equation
zbMATH Keywords: deviating arguments
MaRDI profile type: Publication
title: Nonlinear elliptic equation with deviating arguments
published in: International Journal of Functional Analysis, Operator Theory and Applications
review text: In this paper, existence and uniqueness results are established for the following nonlinear elliptic equation with a deviating argument: NEWLINE\[NEWLINE -\sum_{i,j=1}^N \frac{\partial}{\partial x_j}\left(a_{i,j}(x,u(\theta(x)))\frac{\partial u}{\partial x_i}(x)\right) = f(u(x)) \quad \text{a.e. in }\Omega \subset \mathbb R^N,NEWLINE\]NEWLINE with the Dirichlet boundary condition. The proofs rely on the Lax-Milgram theorem and on the Schauder fixed point theorem.
reviewed by: Marlène Frigon
description: scientific article; zbMATH DE number 6559207