Uniqueness of Normalized Homeomorphic Solutions to Nonlinear Beltrami Equations

Kari Astala, Albert Clop, Daniel Faraco, Jarmo Jääskeläinen, László Székelyhidi

Type: Article

Publication Date: 2011-09-14

Citations: 7

DOI: https://doi.org/10.1093/imrn/rnr178

Abstract

We settle the problem of the uniqueness of normalized homeomorphic solutions to the nonlinear Beltrami equation ⁠. It turns out that the uniqueness holds under explicit bounds on the ellipticity constant of the equation at infinity, but not in general.

Locations

International Mathematics Research Notices - View
arXiv (Cornell University) - View - PDF

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