The boundary behavior of Q-homeomorphisms on the Finsler spaces


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Abstract

We study the boundary behavior of Q-homeomorphisms on the Finsler manifolds and formulate the conditions that are imposed on a function Q(x) and on the boundaries of domains and are such that every Q-homeomorphism admits a continuous or homeomorphic extension to the boundary.

About the authors

Elena S. Afanas’eva

Institute of Applied Mathematics and Mechanics of the NAS of Ukraine

Author for correspondence.
Email: es.afanasjeva@yandex.ru
Ukraine, Donetsk

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