On some semilinear equation in \(\mathbb R^4\) containing a Laplacian term and involving nonlinearity with exponential growth
type: Item
instance of: scholarly article
title: On some semilinear equation in \(\mathbb R^4\) containing a Laplacian term and involving nonlinearity with exponential growth
zbMATH Open document ID: 1332.35117
author: Sami Aouaoui
published in: Communications on Pure and Applied Analysis
publication date: 2015-10-16T00:00:00Z
review text: The author gives sufficient conditions for problems \[ \Delta^2 u + u = \lambda g(x) (|\Delta u| +1) + f(u) \] in \(\mathbb{R}^4\) to admit two nontrivial weak solutions.
reviewed by: Florin Catrina
Mathematics Subject Classification ID: 35J61
Mathematics Subject Classification ID: 35J35
Mathematics Subject Classification ID: 35J91
Mathematics Subject Classification ID: 35D30
zbMATH DE Number: 6495276
zbMATH Keywords: biharmoninc operator
zbMATH Keywords: Adams-type inequality
zbMATH Keywords: critical exponential growth
zbMATH Keywords: Laplacian term
zbMATH Keywords: Palais-Smale condition
zbMATH Keywords: iterative scheme
MaRDI profile type: Publication
full work available at URL: cpaa.2015.14.2185
OpenAlex ID: W2524336946
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DOI: 10.3934/CPAA.2015.14.2185
description: scientific article; zbMATH DE number 6495276