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math.AP2015
Bounds for Jacobian of harmonic injective mappings in n-dimensional space
Vladimir Božin, Miodrag Mateljević
Using normal family arguments, we show that the degree of the first nonzero homogenous polynomial in the expansion of dimensional Euclidean harmonic -quasiconformal mapping…
math.CV2015
The lower bound for the modulus of the derivatives and Jacobian of harmonic injective mappings
Miodrag Mateljević
We give the lower bound for the modulus of the radial derivatives and Jacobian of harmonic injective mappings from the unit ball onto convex domain in plane and space. As an applic…