Sharp constants for Moser-type inequalities concerning embeddings into Zygmund spaces

Commentationes mathematicae Universitatis Carolinae

Robert Černý¹ 

关键词: Orlicz-Sobolev spaces;    Lorentz-Sobolev spaces;    Trudinger embedding;    Moser-Trudinger inequality;    best constants;   

DOI  :  

学科分类：物理化学和理论化学

来源: Univerzita Karlova v Praze * Matematicko-Fyzikalni Fakulta / Charles University in Prague, Faculty of Mathematics and Physics

【 摘 要 】

Let $n\geq 2$ and $\Omega\subset \mathbb R^n$ be a bounded set. We give a Moser-type inequality for an embedding of the Orlicz-Sobolev space $W_0L^{\Phi}(\Omega)$, where the~Young function $\Phi$ behaves like $t^n\log^{\alpha}(t)$, $\alpha.

【 授权许可】

CC BY