Abstract
We study classes of continuous, open, discrete mappings satisfying some modular inequalities and show that these inequalities ensure important geometric properties, extending partially known results from the theory of quasiregular mappings, such as Liouville, Picard, Montel theorems and equicontinuity results. Most of the theorems are obtained in dimension n ≥ 2.
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Acknowledgements
We thank the referee for his comments.