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- W2264445989 abstract "We show that homeomorphisms $f$ in ${Bbb R}^n$, $ngeqslant3$, of finite distortion in the Orlicz--Sobolev classes $W^{1,varphi}_{rm loc}$ with a condition on $varphi$ of the Calderon type and, in particular, in the Sobolev classes $W^{1,p}_{rm loc}$ for $p>n-1$ are the so-called lower $Q$-homeomorphisms, $Q(x)=K^{frac{1}{n-1}}_I(x,f)$, where $K_I(x,f)$ is its inner dilatation. The statement is valid also for all finitely bi-Lipschitz mappings that a far--reaching extension of the well-known classes of isometric and quasiisometric mappings. This makes pos-sib-le to apply our theory of the boundary behavior of the lower $Q$-homeomorphisms to all given classes." @default.
- W2264445989 created "2016-06-24" @default.
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- W2264445989 date "2014-08-03" @default.
- W2264445989 modified "2023-09-23" @default.
- W2264445989 title "On boundary behavior of spatial mappings" @default.
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