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 injective minimizers for mappings of biconformal energy.

Authors

Mihai Cristea (ORCID: https://orcid.org/0000-0002-2766-8356)

Institutions

University of Bucharest (RO)

Publication Details

Journal: Axioms
Published: 2024-12-31
DOI: https://doi.org/10.3390/axioms14010028
Primary Topic: Advanced Mathematical Modeling in Engineering
Type: article
Field-Weighted Citation Impact: 0.00

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article

Mappings of a Bounded Dirichlet Integral: The Modulus Method

Mihai Cristea

Dec 31, 2024

Axioms

Advanced Mathematical Modeling in Engineering

article

Mappings of a Bounded Dirichlet Integral: The Modulus Method

Mihai Cristea

December 31, 2024article en

Abstract

AxiomsVol. 14(1)

University of Bucharest (RO)

Openalex Percentile: Top 71%

Advanced Mathematical Modeling in Engineering

DOI Open Access PDF OpenAlex

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Mappings of a Bounded Dirichlet Integral: The Modulus Method — Mihai Cristea · Axioms (2024) | TGRS Research Map | TGRS