A new sufficient condition in order that the real Jacobian conjecture in R2 holds
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.
Journal or Serie
Journal of Differential Equations, 2021, vol. 281, p. 333-340