Sharp constant and extremal function for weighted Trudinger-Moser type inequalities in R2

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:421

Article

Albuquerque, Francisco S. B.

关键词: Trudinger-Moser inequality;    Extremal function;    Weighted Sobolev spaces;   

DOI  :  10.1016/j.jmaa.2014.07.035

来源: Elsevier

【 摘 要 】

In this note, we prove the sharpness and the existence of extremal function for a Trudinger-Moser type inequality in weighted Sobolev spaces established by Albuquerque-Alves-Medeiros in 2014 (see [6. Theorem 1.1]). (c) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free