Add to ORKGWe discuss the problem of global invertibility of nonlinear maps defined on the finite dimensional Euclidean space via differential tests. We provide a generalization of the Fujisawa-Kuh global inversion theorem and introduce a generalized ratio condition which detects when the pre-image of a certain class of linear manifolds is non-empty and connected. In particular, we provide conditions that also detect global injectivity
We provide sufficient conditions for a mapping between two Banach spaces to be a diffeomorphism usin...
International audienceThe problem of designing an algorithm which computes the left inverse of an in...
This is an exposition of some basic ideas in the realm of Global Inverse Function theorems. We ...
We discuss the problem of global invertibility of nonlinear maps defined on the finitedimensional Eu...
Given a local diffeomorphism ƒ : ℝn → ℝn, we consider certain in- compressibility conditions on the ...
We provide sufficient conditions for a mapping ƒ: Rn → Rn to be a global diffeomorphism in case ƒ n...
In this note we prove a global inverse function theorem for homogeneous mappings on . The proof is b...
Given a local diffeomorphism $f\colon \mathbb{R}^n\to \mathbb{R}^n$, we consider certain incompress...
We consider topological conditions under which a locally invertible map admits a global inverse. Our...
Since the Hadamard Theorem, several metric and topological conditions have emerged in the literature...
We study the global inversion of a continuous nonsmooth mapping f : R-n -> R-n, which may be non-loc...
We obtain a global inverse function theorem guaranteeing that if a smooth mapping of finite-dimensio...
We study the global invertibility of non-smooth, locally Lipschitz maps between infinite-dimensional...
This paper deals with the generalization of some problems related to map inversion. Solutions of suc...
Abstract. Fixing a complete Riemannian metric g on � n, we show that a local diffeomorphism f: � n ...
We provide sufficient conditions for a mapping between two Banach spaces to be a diffeomorphism usin...
International audienceThe problem of designing an algorithm which computes the left inverse of an in...
This is an exposition of some basic ideas in the realm of Global Inverse Function theorems. We ...
We discuss the problem of global invertibility of nonlinear maps defined on the finitedimensional Eu...
Given a local diffeomorphism ƒ : ℝn → ℝn, we consider certain in- compressibility conditions on the ...
We provide sufficient conditions for a mapping ƒ: Rn → Rn to be a global diffeomorphism in case ƒ n...
In this note we prove a global inverse function theorem for homogeneous mappings on . The proof is b...
Given a local diffeomorphism $f\colon \mathbb{R}^n\to \mathbb{R}^n$, we consider certain incompress...
We consider topological conditions under which a locally invertible map admits a global inverse. Our...
Since the Hadamard Theorem, several metric and topological conditions have emerged in the literature...
We study the global inversion of a continuous nonsmooth mapping f : R-n -> R-n, which may be non-loc...
We obtain a global inverse function theorem guaranteeing that if a smooth mapping of finite-dimensio...
We study the global invertibility of non-smooth, locally Lipschitz maps between infinite-dimensional...
This paper deals with the generalization of some problems related to map inversion. Solutions of suc...
Abstract. Fixing a complete Riemannian metric g on � n, we show that a local diffeomorphism f: � n ...
We provide sufficient conditions for a mapping between two Banach spaces to be a diffeomorphism usin...
International audienceThe problem of designing an algorithm which computes the left inverse of an in...
This is an exposition of some basic ideas in the realm of Global Inverse Function theorems. We ...