Uniqueness of Normalized Homeomorphic Solutions to Nonlinear Beltrami Equations

作者:Astala Kari; Clop Albert*; Faraco Daniel; Jaaskelainen Jarmo; Szekelyhidi Laszlo Jr
来源:International Mathematics Research Notices, 2012, (18): 4101-4119.
DOI:10.1093/imrn/rnr178

摘要

We settle the problem of the uniqueness of normalized homeomorphic solutions to the nonlinear Beltrami equation (partial derivative) over barf(z) = H(z, partial derivative f(z)). It turns out that the uniqueness holds under explicit bounds on the ellipticity constant of the equation at infinity, but not in general.

  • 出版日期2012