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arXiv · 1012.2827

Uniqueness of normalized homeomorphic solutions to nonlinear Beltrami equations

Kari Astala·Albert Clop·Daniel Faraco·Jarmo Jääskeläinen·László Székelyhidi Jr
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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.

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Kari Astala, Albert Clop, Daniel Faraco, Jarmo Jääskeläinen, László Székelyhidi Jr. 2010-12-13. Uniqueness of normalized homeomorphic solutions to nonlinear Beltrami equations. https://arxiv.org/abs/1012.2827

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