%0 Journal Article
%A Jaramillo Aguado, Jesús Ángel
%A Madiedo, Oscar
%A Sánchez González, Luis
%T Global inversion of nonsmooth mappings on Finsler manifolds
%D 2013
%@ 0944-6532
%U https://hdl.handle.net/20.500.14352/33476
%X We consider the problem of finding sufficient conditions for a locally Lipschitz mapping between Finsler manifolds to be a global homeomorphism. For this purpose, we develop the notion of Clarke generalized differential in this context and, using this, we obtain a version of the Hadamard integral condition for invertibility. As consequences, we deduce some global inversion and global injectivity results for Lipschitz mappings on R-n in terms of spectral conditions of its Clarke generalized differential.
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