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Boundary behavior of Orlicz-Sobolev classes
Authors:D A Kovtonyuk  V I Ryazanov  R R Salimov  E A Sevost’yanov
Institution:1. Institute for Applied Mathematics and Mechanics, Ukrainian National Academy of Sciences, Donetsk, Ukraine
Abstract:It is proved that homeomorphisms of the Orlicz-Sobolev class W loc 1, φ can be continuously extended to the boundaries of some domains if the function φ defining this class satisfies a Carderón-type condition and the outer dilatation K f of the mapping f satisfies the divergence condition for integrals of special form. In particular, the result holds for homeomorphisms of the Sobolev classes W loc 1,1 with K f L loc q for q > n ? 1.
Keywords:
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