Higher-order energy expansions and spike locations
type: Item
instance of: scholarly article
title: Higher-order energy expansions and spike locations
zbMATH Open document ID: 1154.35353
author: Matthias Winter
author: Juncheng Wei
published in: Calculus of Variations and Partial Differential Equations
publication date: 2004-12-16T00:00:00Z
full work available at URL: http://bura.brunel.ac.uk/handle/2438/558
review text: The authors consider the following singularly perturbed semilinear elliptic problem: \[ \varepsilon^2\Delta u-bu+f(u)=0 \quad\text{in }\Omega, \qquad u>0\quad\text{in }\Omega \quad\text{and}\quad \frac{\partial u}{\partial\nu}=0 \quad\text{on }\partial\Omega, \tag{1} \] where \(\Omega\) is a bounded domain in \(\mathbb R^N\) with smooth boundary \(\partial\Omega\), \(\varepsilon>0\) is a small constant. They are interested in the higher-order energy expansions corresponding to (1) and spike locations.
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 35B25
Mathematics Subject Classification ID: 35J20
Mathematics Subject Classification ID: 35C20
Mathematics Subject Classification ID: 47J30
zbMATH DE Number: 2123227
zbMATH Keywords: singularly perturbed elliptic problem
zbMATH Keywords: energy expansion
zbMATH Keywords: spike locations
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
OpenAlex ID: W1996177317
DOI: 10.1007/S00526-003-0240-Y
description: scientific article; zbMATH DE number 2123227