A sufficient condition in order that the Real Jacobian Conjecture in R^2 holds
Braun, Francisco (Universidade Federal de Sâo Carlos Rod(Brasil). Departamento de Matemática)
Giné, Jaume (Universitat de Lleida. Departament de Matemàtica)
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)

Date:	2016
Abstract:	Let F=(f,g):\R^2\R^2 be a polynomial map such that DF(x) is different from zero for all x\R^2 and F(0,0) = (0,0). We prove that for the injectivity of F it is sufficient to assume that the higher homogeneous terms of the polynomials ff_x g g_x and f f_y g g_y do not have real linear factors in common.
Grants:	Ministerio de Economía y Competitividad MTM2014-53703-P Ministerio de Economía y Competitividad MTM2013-40998-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-1204 Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-568 European Commission 316338 European Commission 316339
Note:	Agraïments: The first author is partially supported by a BPE-FAPESP grant number 2014/26149-3. The first and the third author are also partially supported by a CAPES CSF-PVE grant 88881. 030454/ 2013-01 from the program CSF-PVE.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Centre ; Global injectivity ; Real Jacobian conjecture
Published in:	Journal of differential equations, Vol. 260 (2016) , p. 5250-5258, ISSN 1090-2732

DOI: 10.1016/j.jde.2015.12.011

Postprint 11 p, 694.7 KB

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