2010/12/13 by Kari Astala, Astala, Kari, Albert Clop +7
Mathematics · #30C62 #35J60 #Analysis of PDEs (math.AP) #Complex Variables (math.CV) #FOS: Mathematics #math.AP #math.CV #msc:30C62 #msc:35J60
paper · pdf · doi:10.48550/arxiv.1012.2827
12 pages
arxiv created 2010/12/13 · arxiv updated 2010/12/14
We settle the problem of the uniqueness of normalized homeomorphic solutions to nonlinear Beltrami equations ∂ f(z)=H(z, ∂ f(z)). It turns out that the uniqueness holds under definite and explicit bounds on the ellipticity at infinity, but not in general.