Geodesic
The boundary behavior of $\mathcal Q_{p,q}$-homeomorphisms
Izvestiya. Mathematics , Tome 87 (2023) no. 4, pp. 683-725

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This article studies systematically the boundary correspondence problem for $\mathcal Q_{p,q}$-homeomorphisms. The presented example demonstrates a deformation of the Euclidean boundary with the weight function degenerating on the boundary.
Keywords: Sobolev space, composition operator, capacity of a condenser, capacity metric, capacity boundary.
Mots-clés : quasiconformal analysis 
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     title = {The boundary behavior of $\mathcal Q_{p,q}$-homeomorphisms},
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S. K. Vodopyanov; A. O. Molchanova. The boundary behavior of $\mathcal Q_{p,q}$-homeomorphisms. Izvestiya. Mathematics , Tome 87 (2023) no. 4, pp. 683-725. http://geodesic.mathdoc.fr/item/IM2_2023_87_4_a1/