Best Constants for Moser-Trudinger Inequalities on High Dimensional Hyperbolic Spaces

By G. Lu, Hanli Tang. 2013

66 citations recorded by the source corpus.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/d582b5ed184b1e3a7ce73fbc32af66850c81f11a

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In Applied Mathematics

1. Qiaohua Yang
2. Guozhen Lu
3. Hanli Tang
4. G. Lu
5. Nguyen Huong Lam
6. Caifeng Zhang
7. Y. Yang
8. Lu Zhang

In Geometry and Topology

1. Qiaohua Yang
2. Guozhen Lu
3. Hanli Tang
4. G. Lu
5. Y. Yang
6. Nguyen Huong Lam

Citations in the corpus

• A sharp Trudinger–Moser inequality on any bounded and convex planar domain (2015, background): “There have been many generalizations related to the Trudinger-Moser inequality on hyperbolic spaces (see [14], [12], [13], [15]).”
• Paneitz operators on hyperbolic spaces and high order Hardy-Sobolev-Maz'ya inequalities on half spaces (2019, background): “Furthermore, there holds some first order Trudinger-Moser type inequalities on hyperbolic spaces [42, 43] and HardyTrudinger-Moser inequality on H2 (see [49, 44, 58]) and Hardy-Adams inequality on H4 and Hn for all even dimensions n≥ 4 [45, 38].”
• Sharp subcritical Moser-Trudinger inequalities on Heisenberg groups and subelliptic PDEs (2014, unknown): “Third, best constants for critical and subcritical Moser–Trudinger inequalities on hyperbolic spaces of any dimension have been established by the second and third authors in [26] using a rearrangement-free argument.”
• Sharp Singular Trudinger–Moser Inequalities in Lorentz–Sobolev Spaces (2016, background): “This argument to derive global inequalities from the local ones using the level sets works in several other settings such as hyperbolic spaces [31], Riemannianmanifolds, etc.”