THE REAL JACOBIAN CONJECTURE ON R-2 IS TRUE WHEN ONE OF THE COMPONENTS HAS DEGREE 3

Braun, Francisco; dos Santos Filho, Jose Ruidival

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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

THE REAL JACOBIAN CONJECTURE ON R-2 IS TRUE WHEN ONE OF THE COMPONENTS HAS DEGREE 3

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Author(s):	Braun, Francisco ^[1] ; dos Santos Filho, Jose Ruidival ^[1] Total Authors: 2
Affiliation:	^[1] Univ Fed Sao Carlos, Dept Matemat, BR-13565905 Sao Carlos, SP - Brazil Total Affiliations: 1
Document type:	Journal article
Source:	DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS; v. 26, n. 1, p. 75-87, JAN 2010.
Web of Science Citations:	8
Abstract
Let F : R(2) -> R(2), F = (p, q), he a polynomial mapping such that, det DF never vanishes. In this paper in is shown that if either p or q has degree less or equal 3, then F is injective. The technique relates solvability of appropriate vector fields with injectivity of the mapping. (AU)

FAPESP's process:	07/08231-0 - Geometric theory of PDE and several complex variables
Grantee:	Jorge Guillermo Hounie
Support Opportunities:	Research Projects - Thematic Grants

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