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Keywords = generalizations of quasiregular mappings

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23 pages, 362 KB  
Article
Mappings of a Bounded Dirichlet Integral: The Modulus Method
by Mihai Cristea
Axioms 2025, 14(1), 28; https://doi.org/10.3390/axioms14010028 - 31 Dec 2024
Viewed by 505
Abstract
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 [...] Read more.
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. Full article
(This article belongs to the Section Mathematical Analysis)
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