Existence of sign changing solutions for some critical problems on \(\mathbb R^N\)
type: Item
instance of: scholarly article
title: Existence of sign changing solutions for some critical problems on \(\mathbb R^N\)
zbMATH Open document ID: 1123.35019
author: Norimichi Hirano
author: Anna Maria Micheletti
author: Angela Pistoia
published in: Communications on Pure and Applied Analysis
publication date: 2005-06-21T00:00:00Z
review text: The paper deals with constructing families of positive and changing-sign solutions for both the slightly subcritical and slightly supercritical equations \[ -\Delta u + V(x)u=N(N-2)| u| ^{\frac{4}{N-2}\pm\epsilon} u\qquad \text{ in}\;{\mathbb R}^N, \] which blow-up and concentrate at different points of \({\mathbb R}^N\) as \(\epsilon\) goes to 0, under certain conditions on the potential \(V.\)
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 35B33
Mathematics Subject Classification ID: 47J30
zbMATH DE Number: 2177445
zbMATH Keywords: Critical Sobolev exponent
zbMATH Keywords: blowing-up solution
zbMATH Keywords: sign changing solutions
reviewed by: Lubomira Softova
MaRDI profile type: Publication
full work available at URL: cpaa.2005.4.143
OpenAlex ID: W2054434699
DOI: 10.3934/CPAA.2005.4.143
description: scientific article; zbMATH DE number 2177445