Extremal functions for Trudinger–Moser inequalities with nonnegative weights

被引：0
|
作者：
Songbo Hou
机构：
[1] China Agricultural University,Department of Applied Mathematics, College of Science
来源：
Journal of Inequalities and Applications | / 2018卷
关键词：
Trudinger–Moser inequality; Extremal function; Blow-up analysis; 46E35;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Using blow-up analysis, the author proves the existence of extremal functions for Trudinger–Moser inequalities with nonnegative weights on bounded Euclidean domains or compact Riemannian surfaces. This extends recent results of Yang (J. Differ. Equ. 258:3161–3193, 2015) and Yang–Zhu (Proc. Am. Math. Soc. 145:3953–3959, 2017).
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