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 conje...
| Autores: | , |
|---|---|
| Tipo de documento: | artigo |
| Estado: | Versão publicada |
| Data de publicação: | 2021 |
| País: | España |
| Recursos: | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| Repositório: | Recercat. Dipósit de la Recerca de Catalunya |
| OAI Identifier: | oai:recercat.cat:10459.1/84038 |
| Acesso em linha: | https://doi.org/10.1016/j.jde.2021.01.038 http://hdl.handle.net/10459.1/84038 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Real Jacobian conjecture Global injectivity Center |
| Resumo: | 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. |
|---|