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

• Datum: 2019
• Hauptverfasser: Sevost'yanov, E. A., Севостьянов, Е. А.
• Format: Artikel
• Sprache: Russisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2019
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/1465
• Назва журналу: 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...