On the Local Behavior of Sobolev Classes on Two-Dimensional Riemannian Manifolds

  • E. A. Sevost’yanovEmail author

We study open discrete maps of two-dimensional Riemannian manifolds from the Sobolev class. For these mappings, we establish the lower estimates of distortions of the moduli of families of the curves. As a consequence, we establish the equicontinuity of Sobolev classes at the interior points of the domain.


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© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.I. Franko Zhitomir State UniversityZhitomirUkraine

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