Super and subsolutions for elliptic equations on all of \(\mathbb R^n\)
type: Item
instance of: scholarly article
title: Super and subsolutions for elliptic equations on all of \(\mathbb R^n\)
zbMATH Open document ID: 1098.35062
DOI: 10.1155/S0161171202110428
author: H. Ghasemzadeh
author: Ghasem A. Afrouzi
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2002-10-29T00:00:00Z
full work available at URL: https://eudml.org/doc/52751
review text: Summary: By construction sub and supersolutions for the following semilinear elliptic equation \(-\Delta u(x)=\lambda g(x)f(u(x))\), \(x\in \mathbb R^n\) which arises in population genetics, we derive some results about the theory of existence of solutions as well as asymptotic properties of the solutions for every \(n\) and for the function \(g:\mathbb R^n\to \mathbb R\) such that \(g\) is smooth and is negative at infinity.
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 1821310
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1821310