A criterion for bijectivity of mappings of Euclidean spaces
KeywordsGlobal inversion of mappings, local diffeomorphism
AbstractWe 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.
How to Cite
MAFRA, Albetã C. & TAVARES, Marcelo. A criterion for bijectivity of mappings of Euclidean spaces. Topological Methods in Nonlinear Analysis [online]. 12 April 2016, T. 43, nr 1, s. 117–128. [accessed 31.1.2023].
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