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arxiv: 1012.2827 · v1 · pith:R3TQ7L7Vnew · submitted 2010-12-13 · 🧮 math.AP · math.CV

Uniqueness of normalized homeomorphic solutions to nonlinear Beltrami equations

Kari Astala , Albert Clop , Daniel Faraco , Jarmo J\"a\"askel\"ainen , L\'aszl\'o Sz\'ekelyhidi Jr This is my paper
classification 🧮 math.AP math.CV
keywords uniquenessbeltramiequationshomeomorphicnonlinearnormalizedpartialsolutions
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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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