Lower semicontinuity of mappings with bounded (θ, 1)-weighted (p, q)-distortion


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We prove that, under some extra conditions, the locally uniform limit of mappings with bounded (θ, 1)-weighted (p, q)-distortion is a mapping of bounded (θ, 1)-weighted (p, q)-distortion too. Moreover, we obtain the lower semicontinuity of the distortion coefficients.

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S. Vodop’yanov

Sobolev Institute of Mathematics Novosibirsk State University

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Email: vodopis@math.nsc.ru
俄罗斯联邦, Novosibirsk

A. Molchanova

Sobolev Institute of Mathematics Novosibirsk State University

Email: vodopis@math.nsc.ru
俄罗斯联邦, Novosibirsk

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