作者: Denis Kovtonyuk , Evgeny Sevost ' yanov , Vladimir Ryazanov , Ruslan Salimov
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摘要: Under a condition of the Calderon type on ', we show that continuous mappings f in W 1;' loc , particular, 2 1;p for p > n 1 have (N)-property by Lusin a.e. hyperplane. It is proved this basis under given ' homeomorphisms with nite distortion and, are so- called lower Q-homeomorphisms where Q(x) equal to its outer dilatation Kf (x). This makes possible apply our theory boundary behavior Orlicz-Sobolev classes.