Boundary behavior of ring Q-homeomorphisms on Riemannian manifolds

• Date: 2011
• Main Authors: Afanas'eva, E. S., Афанасьева, Е. С.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2011
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2807
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We study the problems of a continuous and homeomorphic extension of so-called ring $Q$-homeomorphisms between domains on Riemannian manifolds to the boundary. We establish conditions for a function $Q(x)$ and the boundaries of domains under which every ring $Q$-homeomorphism admits a continuous or h...