数学杂志2024，Vol.44Issue(4)：283-292,10.
Cartan-Hadamard流形上关于Lorentz范数的Trudinger-Moser不等式
TRUDINGER-MOSER INEQUALITIES ON CARTAN-HADAMARD MANIFOLDS UNDER LORENTZ NORMS
摘要
Abstract
The aim of this paper is to study Trudinger-Moser inequalities on a Cartan-Hadamard manifold with Lorentz norm.By using the pointwise estimates of Green's function and O'Neil inequality,we obtain the sharp constants of such inequalities,which generalize the corre-sponding results in Euclidean spaces.关键词
Trudinger-Moser不等式/Lorentz空间/Riemannian流形/负曲率/最佳常数Key words
Trudinger-Moser inequality/Lorentz space/Riemannian manifold/negative cur-vature/sharp constant分类
数理科学引用本文复制引用
张佳杰..Cartan-Hadamard流形上关于Lorentz范数的Trudinger-Moser不等式[J].数学杂志,2024,44(4):283-292,10.基金项目
Supported by National Natural Science Foundation of China(12071353). （12071353）
