Fast decay estimates for integrable solutions of the Lane-Emden type integral systems involving the Wolff potentials
type: Item
instance of: scholarly article
title: Fast decay estimates for integrable solutions of the Lane-Emden type integral systems involving the Wolff potentials
zbMATH Open document ID: 1260.45004
author: Sha Sun
author: Yutian Lei
published in: Journal of Functional Analysis
publication date: 2013-01-17T00:00:00Z
review text: The paper is devoted to a study of the asymptotic behaviour of positive integrable solutions to Lane-Emden type equations in \(\mathbb R^n\), \(n \geq 3\). Of particular interest are systems involving Wolff potentials. The asymptotics of the solutions to such systems are already known in the case when the solutions have a radial symmetry [the second author and \textit{C. Li}, J. Differ. Equations 252, No. 3, 2739--2758 (2012; Zbl 1235.35106)]. Now these results are extended to the case where no such structure exists in the solutions. It turns out that the behaviour is more complicated in this case.
reviewed by: Kai Diethelm
Mathematics Subject Classification ID: 45G15
Mathematics Subject Classification ID: 45M20
Mathematics Subject Classification ID: 35J48
Mathematics Subject Classification ID: 45M05
zbMATH DE Number: 6126532
zbMATH Keywords: Lane-Emden type integral systems
zbMATH Keywords: Wolff potential
zbMATH Keywords: fast decay rate
zbMATH Keywords: \(\gamma\)-Laplace system
zbMATH Keywords: higher-order PDE system
zbMATH Keywords: asymptotic behaviour
zbMATH Keywords: positive integrable solutions
MaRDI profile type: Publication
full work available at URL: j.jfa.2012.09.012
OpenAlex ID: W1974962629
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DOI: 10.1016/J.JFA.2012.09.012
description: scientific article; zbMATH DE number 6126532