Asymptotic non-degeneracy of the solution to the Liouville-Gel'fand problem in two dimensions
type: Item
instance of: scholarly article
title: Asymptotic non-degeneracy of the solution to the Liouville-Gel'fand problem in two dimensions
zbMATH Open document ID: 1387.35256
DOI: 10.4171/CMH/94
author: Tomohiko Sato
author: Takashi Suzuki
published in: Commentarii Mathematici Helvetici
publication date: 2007-04-26T00:00:00Z
review text: Summary: We study the asymptotic non-degeneracy of the solution to the Liouville-Gel'fand problem \(-\Delta v=\lambda V(x)ev\) in \(\Omega\), \(v=0\) on \(\partial\Omega\), where \(\Omega\subset \mathbb{R}^2\) is a smooth bounded domain, \(V(x)\) is a positive-valued \(C^1(\Omega)\) function, and \(\lambda > 0\) is a constant.
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 5146409
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 5146409