Boundary behavior of Orlicz-Sobolev classes |
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Authors: | D A Kovtonyuk V I Ryazanov R R Salimov E A Sevost’yanov |
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Institution: | 1. Institute for Applied Mathematics and Mechanics, Ukrainian National Academy of Sciences, Donetsk, Ukraine
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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. |
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