Maximization problem on Trudinger-Moser inequality involving Lebesgue norm
Maximization problem on Trudinger-Moser inequality involving Lebesgue norm
复制标题
涉及勒贝格范数的 Trudinger-Moser 不等式最大化问题
DOI：
10.1016/j.jfa.2020.108513
复制
发表时间：
2020
影响因子：
1.7
通讯作者：
Hashizume Masato
中科院分区：
文献类型：
--
作者：
Chern Jann-Long;Hashizume Masato;Hwang Gyeongha;Hashizume Masato
研究了Trudinger-Moser不等式的一个极值问题，阐明了低阶扰动对最佳常数可得性的影响。特别地，我们给出了涉及低阶扰动的阈值非线性的显式形式。我们的结果是基于对最大化者狄利克雷能量的估计。
We study a maximization problem on the Trudinger-Moser inequality and clarify the effect of lower order perturbation on the attainability of the best constant. In particular, we show the explicit forms of threshold nonlinearity involving lower order perturbation. Our results are based on the estimates of the Dirichlet energy of maximizers.