Abstract
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.
Citation
Albetã C. Mafra. Marcelo Tavares. "A criterion for bijectivity of mappings of Euclidean spaces." Topol. Methods Nonlinear Anal. 43 (1) 117 - 128, 2014.
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