Global inversion of nonsmooth mappings on Finsler manifolds
  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 $\mathbb{R}^n$ in terms of spectral conditions of its Clarke generalized differential. 
Jesus A. Jaramillo, Oscar Madiedo and Luis Sanchez-Gonzalez
math.FA math.DG