The Real Jacobian Conjecture for polynomials of degree 3
Annales Polonici Mathematici, Tome 76 (2001) no. 1-2, pp. 121-125.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We show that every local polynomial diffeomorphism $(f,g)$ of the real plane such that $\mathop {\rm deg}\nolimits f\leq 3$, $\mathop {\rm deg}\nolimits g\leq 3$ is a global diffeomorphism.
DOI : 10.4064/ap76-1-12
Keywords: every local polynomial diffeomorphism real plane mathop deg nolimits leq mathop deg nolimits leq global diffeomorphism

Janusz Gwo/xdziewicz 1

1 Kielce University of Technology Al. 1000-lecia Pa/n0Estwa Polskiego 7 25-314 Kielce, Poland
@article{10_4064_ap76_1_12,
     author = {Janusz Gwo/xdziewicz},
     title = {The {Real} {Jacobian} {Conjecture} for polynomials of degree 3},
     journal = {Annales Polonici Mathematici},
     pages = {121--125},
     publisher = {mathdoc},
     volume = {76},
     number = {1-2},
     year = {2001},
     doi = {10.4064/ap76-1-12},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap76-1-12/}
}
TY  - JOUR
AU  - Janusz Gwo/xdziewicz
TI  - The Real Jacobian Conjecture for polynomials of degree 3
JO  - Annales Polonici Mathematici
PY  - 2001
SP  - 121
EP  - 125
VL  - 76
IS  - 1-2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap76-1-12/
DO  - 10.4064/ap76-1-12
LA  - en
ID  - 10_4064_ap76_1_12
ER  - 
%0 Journal Article
%A Janusz Gwo/xdziewicz
%T The Real Jacobian Conjecture for polynomials of degree 3
%J Annales Polonici Mathematici
%D 2001
%P 121-125
%V 76
%N 1-2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/ap76-1-12/
%R 10.4064/ap76-1-12
%G en
%F 10_4064_ap76_1_12
Janusz Gwo/xdziewicz. The Real Jacobian Conjecture for polynomials of degree 3. Annales Polonici Mathematici, Tome 76 (2001) no. 1-2, pp. 121-125. doi : 10.4064/ap76-1-12. http://geodesic.mathdoc.fr/articles/10.4064/ap76-1-12/

Cité par Sources :