Equivalence of Sharp Trudinger-Moser Inequalities in Lorentz-Sobolev Spaces

被引：0
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作者：
Hanli Tang
机构：
[1] Beijing Normal University,School of Mathematical Sciences
来源：
Potential Analysis | 2020年 / 53卷
关键词：
Critical Trudinger-Moser inequality; Subcritical Trudinger-Moser inequalities; Lorentz-Sobolev spaces; Equivalence;
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摘要：
The critical and subcritical Trudinger-Moser inequalities in Lorentz Sobolev space have been studied by Cassani and Tarsi (Asymptot. Anal. 64(1-2):29–51, 2009), Lu and Tang (Adv. Nonlinear Stud. 16(3):581–601, 2016). In this paper, we will prove that these critical and subcritical Trudinger-Moser inequalities are actually equivalent and thus extend those equivalence results of Lam et al. (Rev. Mat. Iberoam 33(4):1219–1246, 2017) into Lorentz Sobolev spaces.
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页码：297 / 314
页数：17
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