Gutú, OliviaJaramillo Aguado, Jesús Ángel2023-06-172023-06-172019-10-150022-247X10.1016/j.jmaa.2019.05.044https://hdl.handle.net/20.500.14352/12888We study the global invertibility of non-smooth, locally Lipschitz maps between infinite-dimensional Banach spaces, using a kind of Palais-Smale condition. To this end, we consider the Chang version of the weighted Palais-Smale condition for locally Lipschitz functionals in terms of the Clarke subdifferential, as well as the notion of pseudo-Jacobians in the infinite-dimensional setting, which are the analog of the pseudo-Jacobian matrices defined by Jeyakumar and Luc. Using these notions, we derive our results about existence and uniqueness of solution for nonlinear equations. In particular, we give a version of the classical Hadamard integral condition for global invertibility in this context.engjournal articlehttps://doi.org/10.1016/j.jmaa.2019.05.044open access517.98Global invertibilityPalais-Smale conditionNonsmooth analysisAnálisis funcional y teoría de operadores