A criterion for bijectivity of mappings of Euclidean spaces
Keywords
Global inversion of mappings, local diffeomorphismAbstract
We study the following problem introduced by J. Hadamard in 1906: to find sufficient conditions for a local diffeomorphism of an Euclidean space to be a global diffeomorphism. J. Hadamard introduced a celebrated integral condition which is a sufficient condition for the bijectivity of a local diffeomorphism. In this paper we improve the classical result of Hadamard giving a new sufficient condition for a $C^2$ mapping to be bijective.Downloads
Published
2016-04-12
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1.
MAFRA, Albetã C. and TAVARES, Marcelo. A criterion for bijectivity of mappings of Euclidean spaces. Topological Methods in Nonlinear Analysis. Online. 12 April 2016. Vol. 43, no. 1, pp. 117 - 128. [Accessed 26 April 2024].
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