TY - JOUR
T1 - Uniqueness of normalized homeomorphic solutions to nonlinear Beltrami equations
AU - Astala, Kari
AU - Clop, Albert
AU - Faraco, Daniel
AU - Jääskeläinen, Jarmo
AU - Székelyhidi Jr, László
PY - 2012/9/24
Y1 - 2012/9/24
N2 - We settle the problem of the uniqueness of normalized homeomorphic solutions to the nonlinear Beltrami equation ∂̇ f (z)=H(z, ∂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. © The Author(s) 2011. Published by Oxford University Press. All rights reserved.
AB - We settle the problem of the uniqueness of normalized homeomorphic solutions to the nonlinear Beltrami equation ∂̇ f (z)=H(z, ∂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. © The Author(s) 2011. Published by Oxford University Press. All rights reserved.
UR - https://www.scopus.com/pages/publications/84866357411
U2 - 10.1093/imrn/rnr178
DO - 10.1093/imrn/rnr178
M3 - Article
SN - 1073-7928
VL - 2012
SP - 4101
EP - 4119
JO - International Mathematics Research Notices
JF - International Mathematics Research Notices
IS - 18
ER -