Asymptotic dilation of regular homeomorphisms

Seminar

Speaker

Prof. Anatoly Golberg, Holon Institute of Technology

Date

11/06/2018 - 15:45 - 14:00Add to Calendar 2018-06-11 14:00:00 2018-06-11 15:45:00 Asymptotic dilation of regular homeomorphisms We study the asymptotic behavior of the ratio $|f(z)|/|z|$ as $z\to 0$ for homeomorphic mappings differentiable almost everywhere in the unit disc with non-degenerated Jacobian. The main tools involve the length-area functionals and angular dilatations depending on some real number $p.$ The results are applied to homeomorphic solutions of a nonlinear Beltrami equation. The estimates are illustrated by examples. 2nd floor Colloquium Room, Building 216 אוניברסיטת בר-אילן - Department of Mathematics mathoffice@math.biu.ac.il Asia/Jerusalem public

Place

2nd floor Colloquium Room, Building 216

Abstract

We study the asymptotic behavior of the ratio $|f(z)|/|z|$ as $z\to 0$ for homeomorphic mappings
differentiable almost everywhere in the unit disc with non-degenerated Jacobian. The main tools
involve the length-area functionals and angular dilatations depending on some real number $p.$
The results are applied to homeomorphic solutions of a nonlinear Beltrami equation. The estimates
are illustrated by examples.