On the Theorem of Univalence on the Boundary

We give several generalizations of a known theorem from complex analysis, namely the univalence on the boundary theorem. Starting from a purely topological result (Theorems 1 and 11), we obtain univalence conditions for Sobolev mappings.

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Journal
Axioms
Published
2026-01-21
DOI
https://doi.org/10.3390/axioms15010075
Primary Topic
Nonlinear Partial Differential Equations
Type
article
Field-Weighted Citation Impact
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article

On the Theorem of Univalence on the Boundary

Mihai Cristea
Axioms
Nonlinear Partial Differential Equations
article

On the Theorem of Univalence on the Boundary

Mihai Cristea
article en

Abstract

We give several generalizations of a known theorem from complex analysis, namely the univalence on the boundary theorem. Starting from a purely topological result (Theorems 1 and 11), we obtain univalence conditions for Sobolev mappings.

AxiomsVol. 15(1)
University of Bucharest (RO)
Openalex Percentile: Top 81%
Nonlinear Partial Differential Equations
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