Email this article Lower semicontinuity of mappings with bounded (θ, 1)-weighted (p, q)-distortion
- Authors: Vodop’yanov S.K.1, Molchanova A.O.1
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Affiliations:
- Sobolev Institute of Mathematics Novosibirsk State University
- Issue: Vol 57, No 5 (2016)
- Pages: 778-787
- Section: Article
- URL: https://journal-vniispk.ru/0037-4466/article/view/170682
- DOI: https://doi.org/10.1134/S0037446616050062
- ID: 170682
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Abstract
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.
About the authors
S. K. Vodop’yanov
Sobolev Institute of Mathematics Novosibirsk State University
Author for correspondence.
Email: vodopis@math.nsc.ru
Russian Federation, Novosibirsk
A. O. Molchanova
Sobolev Institute of Mathematics Novosibirsk State University
Email: vodopis@math.nsc.ru
Russian Federation, Novosibirsk
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