Trudinger-Moser inequality on the whole plane with the exact growth condition
type: Item
instance of: scholarly article
title: Trudinger-Moser inequality on the whole plane with the exact growth condition
zbMATH Open document ID: 1317.35032
DOI: 10.4171/JEMS/519
author: Slim Ibrahim
author: Kenji Nakanishi
author: Nader Masmoudi
published in: Journal of the European Mathematical Society (JEMS)
publication date: 2015-05-15T00:00:00Z
full work available at URL: https://arxiv.org/abs/1110.1712
review text: The paper presents a new Trudinger-Moser inequality on the whole plane. Necessary and sufficient conditions for its applicability are stated in terms of the growth of general nonlinear functionals. Boundedness and compactness properties are studied.
Mathematics Subject Classification ID: 35J20
Mathematics Subject Classification ID: 46E35
Mathematics Subject Classification ID: 35Q55
zbMATH DE Number: 6435874
zbMATH Keywords: Sobolev critical exponent
zbMATH Keywords: Trudinger-Moser inequality
zbMATH Keywords: concentration compactness
zbMATH Keywords: nonlinear Schrödinger equation
zbMATH Keywords: ground state
reviewed by: Dumitru Motreanu
MaRDI profile type: Publication
arXiv ID: 1110.1712
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description: scientific article