A note on the radial symmetry of solutions with spherical nodal sets
type: Item
instance of: scholarly article
title: A note on the radial symmetry of solutions with spherical nodal sets
zbMATH Open document ID: 1097.35052
author: Yong Jing Seok
published in: Journal of Mathematical Analysis and Applications
publication date: 2004-08-19T00:00:00Z
review text: The author studies solutions of \(u(x)\) of (1) \( \Delta=f(u)\), (2) \(u|_{\mathbb B_R}=0\) where \(u\in C^2 (\mathbb B_R)\), \(\mathbb B_R\) is an \(N\)-dimensional ball with radius \(R,\) \(N\geq 3\). In the present study the author is mainly interested in the solutions \(u(x )\) of (1)--(2) having the property: the nodal set of \(u(x)\) is spherical and \(u(0)>0\). The author investigates its radial symmetrical property.
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 35A30
zbMATH DE Number: 2092959
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
full work available at URL: j.jmaa.2004.04.050
OpenAlex ID: W2088135749
cites work: Symmetry and related properties via the maximum principle
DOI: 10.1016/J.JMAA.2004.04.050
description: scientific article; zbMATH DE number 2092959