Sharp Moser–Trudinger inequalities on Riemannian manifolds with negative curvature

By Qiaohua Yang, Dan Su, Yinying Kong. Annali di Matematica Pura ed Applicata, 2015

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Let M\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$M$$\end{document} be a complete, simply connected Riemannian manifold with negative curvature. We obtain some Moser–Trudinger inequalities with sharp constants on M\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$M$$\end{document}.

Subfields: Applied Mathematics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/693aace95575c04422f58e071d4eba057885b90e