Invariant criteria for existence of bounded positive solutions
type: Item
instance of: scholarly article
title: Invariant criteria for existence of bounded positive solutions
zbMATH Open document ID: 1080.35028
author: Dong Ye
author: Feng Zhou
published in: Discrete and Continuous Dynamical Systems
publication date: 2005-04-11T00:00:00Z
review text: The authors deal with the semilinear elliptic equations \[ \Delta u+\varphi(x,u)=0\quad \text{in }\mathbb{R}^N,\;\mathbb{N}\geq 3 \] and are interested in sufficient conditions on \(\varphi(x,u)\) for the existence of entire bounded positive solutions. Using the standard barrier method; the authors prove the existence of entire bounded positive solutions for (1). Here the authors present many sufficient conditions which are invariant under the isometry group of \(\mathbb{R}^N\).
reviewed by: Messoud Efendiev
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 35B05
Mathematics Subject Classification ID: 35B50
Mathematics Subject Classification ID: 35B35
zbMATH DE Number: 2155029
zbMATH Keywords: invariant criteria
zbMATH Keywords: barrier methods
zbMATH Keywords: entire bounded solution
MaRDI profile type: Publication
full work available at URL: dcds.2005.12.413
OpenAlex ID: W2037160862
DOI: 10.3934/DCDS.2005.12.413
description: scientific article; zbMATH DE number 2155029