Slow decay and the Harnack inequality for positive solutions of \(\Delta u+ u^ p =0\) in \(\mathbb{R}^ n\)
type: Item
instance of: scholarly article
title: Slow decay and the Harnack inequality for positive solutions of \(\Delta u+ u^ p =0\) in \(\mathbb{R}^ n\)
zbMATH Open document ID: 0849.35028
published in: Differential and Integral Equations
publication date: 1996-11-07T00:00:00Z
review text: Starting from some results proved by the author in a previous paper [J. Differ. Equations 120, No. 1, 46-88 (1995; Zbl 0844.35028)], here he studies the symmetry of positive solutions of the Lane-Emden equation \[ \Delta u+ u^p= 0,\quad \text{in } \mathbb{R}^n,\quad p> 1,\quad n> 2 \] which satisfy some slow decay estimates. In the proof, a local Harnack inequality at infinity is used.
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 763471
zbMATH Keywords: slow decay assumptions
zbMATH Keywords: symmetry of positive solutions
zbMATH Keywords: Lane-Emden equation
zbMATH Keywords: Harnack inequality
author: Henghui Zou
reviewed by: Antonio Cañada
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 763471