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Trudinger-Moser inequality in the hyperbolic space H-N
Univ Roma Tre, I-00146 Rome, Italy..
TIFR Ctr Applicable Math, Bangalore 560064, Karnataka, India..
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Analysis and Probability Theory.
2013 (English)In: ADVANCES IN NONLINEAR ANALYSIS, ISSN 2191-9496, Vol. 2, no 3, 309-324 p.Article in journal (Refereed) Published
Abstract [en]

We prove a version of the Trudinger-Moser inequality in the hyperbolic space H-N, which gives a sharper version of the Trudinger-Moser inequality on the Euclidean unit ball, as well as a hyperbolic space version of the Onofri inequality, and prove the existence of extremal functions to some related problems.

Place, publisher, year, edition, pages
2013. Vol. 2, no 3, 309-324 p.
Keyword [en]
Trudinger-Moser inequality, elliptic problems in critical dimension, concentration compactness, weak convergence, Palais-Smale sequences, hyperbolic space, Poincare disk, Hardy inequalities
National Category
Mathematics
Identifiers
URN: urn:nbn:se:uu:diva-306417DOI: 10.1515/anona-2013-0001ISI: 000344198800003OAI: oai:DiVA.org:uu-306417DiVA: diva2:1047391
Available from: 2016-11-17 Created: 2016-10-27 Last updated: 2017-02-20Bibliographically approved

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CiteExportLink to record
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Citation style
  • apa
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  • modern-language-association-8th-edition
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