Existence of blowing-up solutions for a slightly subcritical or a slightly supercritical nonlinear elliptic equation on \(\mathbb R^n\)
type: Item
instance of: scholarly article
title: Existence of blowing-up solutions for a slightly subcritical or a slightly supercritical nonlinear elliptic equation on \(\mathbb R^n\)
zbMATH Open document ID: 1023.35037
DOI: 10.1016/S0362-546X(02)00102-5
author: Anna Maria Micheletti
author: Angela Pistoia
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2003-03-11T00:00:00Z
review text: The goal of the authors is to construct a family of positive solutions for both the slightly subcritical and slightly supercritical equations \[ -\Delta u+V(x)u=n(n-2)(u^+)^{(n+2)/(n-2)\pm \varepsilon}\qquad \text{ in} {\mathbb R}^n, \] which blow-up and concentrate at a single point as \(\varepsilon\) goes to \(0,\) under certain conditions on the potential \(V.\)
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 35B33
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 1880092
zbMATH Keywords: critical Sobolev exponent
zbMATH Keywords: blowing-up solution
zbMATH Keywords: positive solutions
reviewed by: Lubomira Softova
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1880092