Trudinger–Moser inequality in the hyperbolic space ℍN

Trudinger–Moser inequality in the hyperbolic space ℍN

We prove a version of the Trudinger–Moser inequality in the hyperbolic space ℍN, which gives a sharper version of the Trudinger–Moser inequality on the Euclidean unit ball, as well as a hyperbolic space version of the Onofri inequality, and prove the existence of extremal functions to some related p...

Full description

Bibliographic Details
Main Authors: Mancini Gianni, Sandeep Kunnath, Tintarev Cyril
Format: Article
Language:English
Published: De Gruyter 2013-08-01
Series:Advances in Nonlinear Analysis
Subjects:
trudinger–moser inequality
elliptic problems in critical dimension
concentration compactness
weak convergence
palais–smale sequences
hyperbolic space
poincaré disk
hardy inequalities
Online Access:https://doi.org/10.1515/anona-2013-0001

Internet

https://doi.org/10.1515/anona-2013-0001

Similar Items