Abstract
We study the asymptotic behavior of the ratio |f(z)| / |z| as $$z\rightarrow 0$$ for mappings differentiable a.e. 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.
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