Mappings of finite distortion and mappings of finite distortion; the modulus method
Mihai Cristea
University of Bucharest, Bucharest, Romania
Abstract:
We study the geometric properties of some classes of mappings for which an
inverse Poletsky modular inequality holds. Our approach is basically on
Riemannian manifolds and we give in these classes of mappings some extensions
of the theorems of Lindelöf and Fatou from the classical complex analysis.
We also find some conditions for the existence of injective minimizers
for mappings of bi-conformal energy.