Uniqueness of normalized homeomorphic solutions to nonlinear Beltrami equations

Details Uniqueness of normalized homeomorphic solutions to nonlinear Beltrami equations Uniqueness of normalized homeomorphic solutions to nonlinear Beltrami equations

2010-12-13

arxiv.org/abs/1012.2827v1

Mathematics

Analysis of PDEs

12 pages

Scientific paper

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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