A new sufficient condition in order that the real Jacobian conjecture in R2 holds
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Date
2021
Authors
Giné, Jaume
Llibre, Jaume
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Abstract
Let F = (f, g) : R2 → R2 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 = 0 and F (0, 0) = (0, 0) equivalent to the Jacobian conjecture.
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Journal of Differential Equations, 2021, vol. 281, p. 333-340