Year: 2015
Author: Xiaobao Zhu
Journal of Partial Differential Equations, Vol. 28 (2015), Iss. 1 : pp. 39–46
Abstract
In this paper, we establish a singular Trudinger-Moser inequality for the whole hyperbolic space Hn:supu∈W1,n(Hn),∫Hn|∇nHu|ndμ≤1∫Hneα|u|nn−1−Σn−2k=0αk|u|nkn−1k!ρβdμ‹∞⇔ααn+βn≤1, where α>0,α ∈ [0,n), ρ and dμ are the distance function and volume element of Hn respectively.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v28.n1.5
Journal of Partial Differential Equations, Vol. 28 (2015), Iss. 1 : pp. 39–46
Published online: 2015-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 8
Keywords: Singular Trudinger-Moser inequlity
Author Details
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https://doi.org/10.1016/j.jmaa.2021.125795 [Citations: 0]