Trudinger-Moser Embedding on the Hyperbolic Space

Yunyan Yang and Xiaobao Zhu

Abstract and Applied Analysis, 2014, vol. 2014, 1-4

Abstract:

Let be the hyperbolic space of dimension . By our previous work (Theorem 2.3 of (Yang (2012))), for any , there exists a constant depending only on and such that where , is the measure of the unit sphere in , and . In this note we shall improve the above mentioned inequality. Particularly, we show that, for any and any , the above mentioned inequality holds with the definition of replaced by . We solve this problem by gluing local uniform estimates.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:908216

DOI: 10.1155/2014/908216

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