Sharp Adams-type inequality invoking Hardy inequalities

Proceedings of the Indian Academy of Sciences. Mathematical sciences

MOHAMED KHALIL ZGHAL^1¹ 

[1] Laboratoire Équations aux dérivées partielles (LR03ES04), Faculté des Sciences de Tunis, Université de Tunis El Manar, 2092 Tunis, Tunisia^1

关键词: Trudinger–Moser inequalities;    Hardy inequalities;    Orlicz space;    lack of compactness;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

We establish a sharp Trudinger–Moser type inequality invoking a Hardy inequality for any even dimension. This leads to a non compact Sobolev embedding in some Orlicz space. We also give a description of the lack of compactness of this embedding in the spirit of [8].

【 授权许可】

CC BY