摘要
本文研究了Cartan-Hadamard流形上带Lorentz范数的Trudinger-Moser不等式.利用了相关格林函数的逐点估计以及O’Neil不等式,我们得到了该不等式的最佳常数,推广了相应欧氏空间上的结果.
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.
作者
张佳杰
ZHANG Jia-jie(School of Mathematics and Statistics,Wuhan University,Wuhan 430072,China)
出处
《数学杂志》
2024年第4期283-292,共10页
Journal of Mathematics
基金
Supported by National Natural Science Foundation of China(12071353)。
