On the local behavior of Sobolev classes on two-dimensional Riemannian manifolds

• Date: 2019
• Main Authors: Sevost'yanov, E. A., Севостьянов, Е. А.
• Format: Article
• Language: Russian
• Published: Institute of Mathematics, NAS of Ukraine 2019
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1465
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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...