Point Condensation ofMaximizers for Trudinger-Moser Inequalities on Scaling Parameter

被引：0

作者：

Hashizume, Masato ^{[1
]}

机构：

[1] Osaka Univ, Grad Sch Engn Sci, Toyonaka 5608531, Japan

来源：

INDIANA UNIVERSITY MATHEMATICS JOURNAL | 2025年 / 74卷 / 02期

关键词：

Asymptotic expansion; Trudinger-Moser inequality; two dimension; LEAST-ENERGY SOLUTIONS; EXTREMAL-FUNCTIONS; UNBOUNDED-DOMAINS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study asymptotic behavior of maximizers for the critical Trudinger-Moser inequalities with a scaling parameter. In particular, we show the point condensation of the maximizers. We also clarify the location of the peak of maximizers in the critical case, as well as in the subcritical case. The location of the peak of maximizer depends on geometric properties of a bounded domain.

引用

页码：467 / 505

页数：39

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