Trudinger-Moser inequality in the hyperbolic space H-N
2013 (English)In: ADVANCES IN NONLINEAR ANALYSIS, ISSN 2191-9496, Vol. 2, no 3, 309-324 p.Article in journal (Refereed) Published
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.
Trudinger-Moser inequality, elliptic problems in critical dimension, concentration compactness, weak convergence, Palais-Smale sequences, hyperbolic space, Poincare disk, Hardy inequalities
IdentifiersURN: urn:nbn:se:uu:diva-306417DOI: 10.1515/anona-2013-0001ISI: 000344198800003OAI: oai:DiVA.org:uu-306417DiVA: diva2:1047391