On mappings satisfying the inverse Poletsky inequality

Abstract

We have studied the local and boundary behavior of mappings satisfying one estimate of the distortion of the modulus of families of paths. In particular, we have obtained conditions under which the families of the indicated mappings are equicontinuous inside and on the boundary of a domain.

in Russian

Cited by in corpus (4)

• Boundary extension of mappings with the inverse Poletsky inequality by prime ends
• On the existence of a solution of the Beltrami equation with degeneration
• Isolated singularities of mappings with the inverse Poletski inequality
• Equicontinuity by the prime ends of mappings with the normalization condition