Trudinger–Moser inequality in the hyperbolic space ℍ N

Advances in Nonlinear Analysis

article

Gianni Mancini¹  Kunnath Sandeep²  Cyril Tintarev³ 

[1] Dipartimento di Matematica, Università degli Studi “Roma Tre”;TIFR Centre for Applicable Mathematics;Department of Mathematics, Uppsala University

关键词: Trudinger–Moser inequality;    elliptic problems in critical dimension;    concentration compactness;    weak convergence;    Palais–Smale sequences;    hyperbolic space;    Poincaré disk;    Hardy inequalities;   

DOI  :  10.1515/anona-2013-0001

学科分类：社会科学、人文和艺术（综合）

来源: De Gruyter

【 摘 要 】

Abstract. We prove a version of the Trudinger–Moser inequality in the hyperbolic space ℍ N , 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 problems.

【 授权许可】

CC BY