Critical nonlinear elliptic equations with singularities and cylindrical symmetry.
type: Item
instance of: scholarly article
title: Critical nonlinear elliptic equations with singularities and cylindrical symmetry.
zbMATH Open document ID: 1330.35137
DOI: 10.4171/RMI/379
author: M. Badiale
author: Enrico Serra
published in: Revista Matemática Iberoamericana
publication date: 2004-09-28T00:00:00Z
full work available at URL: https://eudml.org/doc/39711
review text: Summary: Motivated by a problem arising in astrophysics we study a nonlinear elliptic equation in RN with cylindrical symmetry and with singularities on a whole subspace of \(\mathbb{R}^N\). We study the problem in a variational framework and, as the nonlinearity also displays a critical behavior, we use some suitable version of the Concentration-Compactness Principle. We obtain several results on existence and nonexistence of solutions.
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 35B33
Mathematics Subject Classification ID: 35J20
zbMATH DE Number: 2104137
zbMATH Keywords: critical exponents
zbMATH Keywords: loss of compactness
zbMATH Keywords: cylindrical symmetry
zbMATH Keywords: singularities
MaRDI profile type: Publication
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OpenAlex ID: W2084994636
description: scientific article; zbMATH DE number 2104137