AbstractWe prove a sufficient condition for injectivity in a class of mappings defined on open connected subsets of the Rn, for n=2 and 3. The results relate solvability of appropriate vector fields with injectivity of the mapping
Given a local diffeomorphism ƒ : ℝn → ℝn, we consider certain in- compressibility conditions on the ...
International audienceGiven a compact Riemannian manifold, we study the regularity of the optimal tr...
AbstractGiven a smooth compact Riemannian surface, we prove that if a suitable convexity assumption ...
AbstractWe prove a sufficient condition for injectivity in a class of mappings defined on open conne...
summary:We give in this paper conditions for a mapping to be globally injective in a topological vec...
AbstractLet U be an open connected subset of Rn whose closure, Ū, is compact and whose boundary, ∂U,...
In this paper we define a notion of injectivity for a vector field over a Riemannian manifold and we...
This paper deals with global injectivity of vector fields defined on euclidean spaces. Our main resu...
International audienceGiven a smooth nonfocal compact Riemannian manifold, we show that the so-calle...
AbstractWe prove some topological properties of completely regular (esp. locally compact) topologica...
In this paper we propose some conjectures and problems, in different fields of analysis, presenting ...
AbstractWe consider operators such as pseudo-differential operators on a manifoldM1. LetM2be another...
Let F = (F1, F2, F3): R3 → R3 be a C∞ local diffeomorphism. We prove that each of the following cond...
Abstract(a) Let X:R2→R2 be a differentiable map (not necessarily C1) and let Spec(X) be the set of (...
AbstractIf f maps continuously a compact subset X of Rn into Rn and x is a point whose distance from...
Given a local diffeomorphism ƒ : ℝn → ℝn, we consider certain in- compressibility conditions on the ...
International audienceGiven a compact Riemannian manifold, we study the regularity of the optimal tr...
AbstractGiven a smooth compact Riemannian surface, we prove that if a suitable convexity assumption ...
AbstractWe prove a sufficient condition for injectivity in a class of mappings defined on open conne...
summary:We give in this paper conditions for a mapping to be globally injective in a topological vec...
AbstractLet U be an open connected subset of Rn whose closure, Ū, is compact and whose boundary, ∂U,...
In this paper we define a notion of injectivity for a vector field over a Riemannian manifold and we...
This paper deals with global injectivity of vector fields defined on euclidean spaces. Our main resu...
International audienceGiven a smooth nonfocal compact Riemannian manifold, we show that the so-calle...
AbstractWe prove some topological properties of completely regular (esp. locally compact) topologica...
In this paper we propose some conjectures and problems, in different fields of analysis, presenting ...
AbstractWe consider operators such as pseudo-differential operators on a manifoldM1. LetM2be another...
Let F = (F1, F2, F3): R3 → R3 be a C∞ local diffeomorphism. We prove that each of the following cond...
Abstract(a) Let X:R2→R2 be a differentiable map (not necessarily C1) and let Spec(X) be the set of (...
AbstractIf f maps continuously a compact subset X of Rn into Rn and x is a point whose distance from...
Given a local diffeomorphism ƒ : ℝn → ℝn, we consider certain in- compressibility conditions on the ...
International audienceGiven a compact Riemannian manifold, we study the regularity of the optimal tr...
AbstractGiven a smooth compact Riemannian surface, we prove that if a suitable convexity assumption ...