Uniqueness of normalized homeomorphic solutions to nonlinear Beltrami equations

preprint2010arXivOpen access

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.

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Uniqueness of normalized homeomorphic solutions to nonlinear Beltrami equations

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