Existence of extremals for critical Trudinger-Moser inequalities via the method of energy estimate

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:479

Article

Yang, Yunyan¹ 

[1] Renmin Univ China, Dept Math, Beijing 100872, Peoples R China

关键词: Trudinger-Moser inequality;    Extremal function;    Energy estimate;    Blow-up analysis;   

DOI  :  10.1016/j.jmaa.2019.06.079

来源: Elsevier

【 摘 要 】

We reprove the existence of extremals for the critical Trudinger-Moser inequality on a smooth bounded domain of R-2 via the method of energy estimate, which was recently developed by Malchiodi-Martinazzi [13], Mancini-Martinazzi [12] and Mancini-Thizy [13]. For this purpose, unlike [12,13], it suffices to calculate local energy of maximizers for subcritical Trudinger-Moser functionals near the blow-up point. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free