Cartan-Hadamard流形上关于Lorentz范数的Trudinger-Moser不等式OACSTPCD
TRUDINGER-MOSER INEQUALITIES ON CARTAN-HADAMARD MANIFOLDS UNDER LORENTZ NORMS
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.
张佳杰
武汉大学数学与统计学院,湖北武汉,430072
数学
Trudinger-Moser不等式Lorentz空间Riemannian流形负曲率最佳常数
Trudinger-Moser inequalityLorentz spaceRiemannian manifoldnegative cur-vaturesharp constant
《数学杂志》 2024 (004)
283-292 / 10
Supported by National Natural Science Foundation of China(12071353).
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