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arXiv · 1306.0822

Trudinger-Moser embedding on the hyperbolic space

Yunyan Yang·Xiaobao Zhu
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Abstract

In [16], we established Trudinger-Moser inequalities for complete noncompact Riemannian manifold on which the Ricci curvature has lower bound and the injectivity radius is strictly positive. In this note, we improve those inequalties when the manifold is the hyperbolic space. The method we used here is still gluing local estimates.

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Yunyan Yang, Xiaobao Zhu. 2013-06-04. Trudinger-Moser embedding on the hyperbolic space. https://arxiv.org/abs/1306.0822

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