Global injectivity of differentiable maps via W-condition in $\mathbb{R}^2$

In this paper, we study the intrinsic relations between the global injectivity of the differentiable local homeomorphism map $F$ and the rate of the Spec$(F)$ tending to zero, where Spec$(F)$ denotes the set of all (complex) eigenvalues of Jacobian matrix $JF(x)$, for all $x\in \mathbb{R}^2$. They d...

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Bibliographic Details
Main Author: Wei Liu
Format: Article
Language:English
Published: AIMS Press 2021-12-01
Series:AIMS Mathematics
Subjects:
Online Access:http://awstest.aimspress.com/article/doi/10.3934/math.2021097?viewType=HTML