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Uniqueness of normalized homeomorphic solutions to nonlinear Beltrami equations

arXiv:1012.2827

Abstract

We settle the problem of the uniqueness of normalized homeomorphic solutions to nonlinear Beltrami equations $\bar\partial f(z)=H(z, \partial f(z))$. It turns out that the uniqueness holds under definite and explicit bounds on the ellipticity at infinity, but not in general.

12 pages