Mathematics – Classical Analysis and ODEs
Scientific paper
2010-04-29
Mathematics
Classical Analysis and ODEs
to appear in Illinois J. Math
Scientific paper
The author establishes some geometric criteria for a domain of ${\mathbb
R}^n$ with $n\ge2$ to support a
$(pn/(n-ps),\,p)_s$-Haj{\l}asz-Sobolev-Poincar\'e imbedding with $s\in(0,\,1]$
and $p\in(n/(n+s),\,n/s)$ or an $s$-Haj{\l}asz-Trudinger imbedding with
$s\in(0,\,1]$.
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