A note on a global invertibility of mappings on Rn. Issue 5 (11th August 2016) - Galewski, Marek
Abstract: We provide sufficient conditions for a mapping f : R n → R n to be a global diﬀeomorphism in case f need not be continuously diﬀerentiable. Instead it is assumed to be strictly (Hadamard-like) and Fréchet diﬀerentiable. We use classical local invertibility conditions together with the non-smooth critical point theory.