Mappings of a Bounded Dirichlet Integral: The Modulus Method
Mihai Cristea · Axioms · 2024
We study the geometric properties of some classes of mappings for which an inverse Poletsky modular inequality holds. In these classes of mappings, we give some extensions of the theorems of Lindelőf and Fatou from the classical complex analysis. We also find some conditions for the existence of injective minimizers for mappings of biconformal energy.