Anew sufficient condition in order that the real Jacobian conjecture in R2 holds

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:281

Article

Gine, Jaume¹  Llibre, Jaume² 

[1] Univ Lleida, Dept Matemat, Avda Jaume II,69, Lleida 25001, Spain

[2] Univ Autonoma Barcelona, Dept Matemat, Barcelona 08193, Catalonia, Spain

关键词: Real Jacobian conjecture;    Global injectivity;    Center;   

DOI  :  10.1016/j.jde.2021.01.038

来源: Elsevier

【 摘 要 】

Let F = (f, g) : R-2 -> R-2 be a polynomial map such that det(DF(x, y)) is nowhere zero and F(0, 0) = (0, 0). In this work we give a new sufficient condition for the injectivity of F. We also state a conjecture when det(DF(x, y)) = constant not equal 0 and F(0, 0) = (0, 0) equivalent to the Jacobian conjecture. (C) 2021 Elsevier Inc. All rights reserved.

【 授权许可】

Free