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

Comment.Math.Univ.Carolin. 53,4 (2012) 557-571.

Abstract: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

Keywords: Orlicz-Sobolev spaces, Lorentz-Sobolev spaces, Trudinger embedding, Moser-Trudinger inequality, best constants
AMS Subject Classification: 46E35 46E30 26D910

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