On mappings with the inverse Poletsky inequality on Riemannian surfaces

E. A. Sevost'yanov

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arXiv · 2303.01972

On mappings with the inverse Poletsky inequality on Riemannian surfaces

E. A. Sevost'yanov

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Abstract

We study some problems related to the boundary behavior of maps of domains of Riemannian surfaces. In particular, for mappings satisfying the inverse Poletsky type modulus inequality, we establish the possibility of their continuous extension to the boundary in terms of prime ends. We also study the local behavior of such mappings at boundary points.

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E. A. Sevost'yanov. 2023-03-01. On mappings with the inverse Poletsky inequality on Riemannian surfaces. https://arxiv.org/abs/2303.01972

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