Semilinear subelliptic problems without compactness on Lie groups
type: Item
instance of: scholarly article
title: Semilinear subelliptic problems without compactness on Lie groups
zbMATH Open document ID: 1052.35057
author: Cyril Tintarev
author: Ian Schindler
published in: NoDEA. Nonlinear Differential Equations and Applications
publication date: 2004-11-05T00:00:00Z
review text: The authors study an abstract version of concentration-compactness on Hilbert spaces, which applies to actions of non-compact Lie groups. By the concentration compactness method the existence of a solution of semilinear problems involving sub-Laplacians considered on the whole group or on certain non-compact subsets is proved. The case of minimizers of Sobolev inequality is also considered. The Lie group under consideration is any real connected finite-dimensional Lie group.
Mathematics Subject Classification ID: 35H20
Mathematics Subject Classification ID: 35J20
Mathematics Subject Classification ID: 22E30
Mathematics Subject Classification ID: 43A85
zbMATH DE Number: 2113831
zbMATH Keywords: concentration-compactness
zbMATH Keywords: variational methods
zbMATH Keywords: analysis on Lie groups
zbMATH Keywords: analysis on homogeneous spaces
reviewed by: Marco Biroli
MaRDI profile type: Publication
full work available at URL: s00030-004-1059-0
OpenAlex ID: W1989594278
DOI: 10.1007/S00030-004-1059-0
description: scientific article; zbMATH DE number 2113831