On the local behavior of Sobolev classes on two-dimensional Riemannian manifolds
UDC 517.9 We study open discrete maps of two-dimensional Riemannian manifolds from the Sobolev class. For these mappings, we obtain the lower estimates of distortions of the moduli of the families of curves. As a consequence, we establish the equicontinuity of Sobolev classes at interior points of...
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| Date: | 2019 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian |
| Published: |
Institute of Mathematics, NAS of Ukraine
2019
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/1465 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: |  |