Mappings of a Bounded Dirichlet Integral: The Modulus Method
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 inj...
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MDPI AG
2024-12-01
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| Series: | Axioms |
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| Online Access: | https://www.mdpi.com/2075-1680/14/1/28 |
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| _version_ | 1832589107056869376 |
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| author | Mihai Cristea |
| author_facet | Mihai Cristea |
| author_sort | Mihai Cristea |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-3c0a52ed7c6f480d976624357c237068 |
| institution | Kabale University |
| issn | 2075-1680 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj-art-3c0a52ed7c6f480d976624357c2370682025-01-24T13:22:11ZengMDPI AGAxioms2075-16802024-12-011412810.3390/axioms14010028Mappings of a Bounded Dirichlet Integral: The Modulus MethodMihai Cristea0Faculty of Mathematics and Computer Sciences, University of Bucharest, Str. Academiei 14, R-010014 Bucharest, RomaniaWe 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.https://www.mdpi.com/2075-1680/14/1/28generalizations of quasiregular mappingsRiemannian manifoldsmappings of finite conformal energymappings of finite distortion |
| spellingShingle | Mihai Cristea Mappings of a Bounded Dirichlet Integral: The Modulus Method Axioms generalizations of quasiregular mappings Riemannian manifolds mappings of finite conformal energy mappings of finite distortion |
| title | Mappings of a Bounded Dirichlet Integral: The Modulus Method |
| title_full | Mappings of a Bounded Dirichlet Integral: The Modulus Method |
| title_fullStr | Mappings of a Bounded Dirichlet Integral: The Modulus Method |
| title_full_unstemmed | Mappings of a Bounded Dirichlet Integral: The Modulus Method |
| title_short | Mappings of a Bounded Dirichlet Integral: The Modulus Method |
| title_sort | mappings of a bounded dirichlet integral the modulus method |
| topic | generalizations of quasiregular mappings Riemannian manifolds mappings of finite conformal energy mappings of finite distortion |
| url | https://www.mdpi.com/2075-1680/14/1/28 |
| work_keys_str_mv | AT mihaicristea mappingsofaboundeddirichletintegralthemodulusmethod |