Existence of solution for a nonvariational elliptic system with exponential growth in dimension two
type: Item
instance of: scholarly article
title: Existence of solution for a nonvariational elliptic system with exponential growth in dimension two
zbMATH Open document ID: 1388.35074
author: Marcelo Montenegro
author: Anderson De Araújo
published in: Journal of Differential Equations
publication date: 2017-11-14T00:00:00Z
review text: The authors consider the existence of positive weak solutions for an elliptic system on a bounded domain in dimension two. The nonlinearities may have subcritical or critical exponential growth. For the proof, the authors first consider some auxiliary problem and Galerkin type approximation.
reviewed by: Marek Galewski
Mathematics Subject Classification ID: 35J92
Mathematics Subject Classification ID: 35B38
Mathematics Subject Classification ID: 35B33
zbMATH DE Number: 6806998
zbMATH Keywords: semilinear system with Laplacian
zbMATH Keywords: subcritical exponential growth
zbMATH Keywords: critical exponential growth
zbMATH Keywords: Galerkin scheme
MaRDI profile type: Publication
full work available at URL: j.jde.2017.10.022
OpenAlex ID: W2765448177
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DOI: 10.1016/J.JDE.2017.10.022
description: scientific article; zbMATH DE number 6806998