New classes of polynomial maps satisfying the real Jacobian conjecture in ℝ2
Abstract: We present two new classes of polynomial maps satisfying the real Jacobian conjecture in ℝ 2. The first class is formed by the polynomials maps of the form (q(x)–p(y), q(y)+p(x)) : R 2 ⟶ R 2 such that p and q are real polynomials satisfying p'(x)q'(x) ≠ 0. The second cl...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Academia Brasileira de Ciências
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Series: | Anais da Academia Brasileira de Ciências |
Subjects: | |
Online Access: | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652019000300202&lng=en&tlng=en |