Quasiconvex functions and null Lagrangians in the stability problems of classes of mappings.
Quasi-convex functions and quasi-monotone operators.
Quasiconvex relaxation of multidimensional control problems with integrands f(t, ξ, v)
We prove a general relaxation theorem for multidimensional control problems of Dieudonné-Rashevsky type with nonconvex integrands f(t, ξ, v) in presence of a convex control restriction. The relaxed problem, wherein the integrand f has been replaced by its lower semicontinuous quasiconvex envelope with respect to the gradient variable, possesses the same finite minimal value as the original problem, and admits a global minimizer. As an application, we provide existence theorems for the image registration...
Quasiconvex relaxation of multidimensional control problems with integrands f(t, ξ, v)
We prove a general relaxation theorem for multidimensional control problems of Dieudonné-Rashevsky type with nonconvex integrands f(t, ξ, v) in presence of a convex control restriction. The relaxed problem, wherein the integrand f has been replaced by its lower semicontinuous quasiconvex envelope with respect to the gradient variable, possesses the same finite minimal value as the original problem, and admits a global minimizer. As an application, we provide existence theorems for the image registration...
Quasi-convexity, strictly quasi-convexity and pseudo-convexity of composite objective functions
Quasi-copulas with quadratic sections in one variable
We introduce and characterize the class of multivariate quasi-copulas with quadratic sections in one variable. We also present and analyze examples to illustrate our results.
Quasilineary Properties of Differentiable Functions in a Field with a Non-Archimedean Valuation.
Quasiuniform limits of quasicontinuous functions
Quelques exemples d'application du transport de mesure en géométrie euclidienne et riemannienne
Quelques remarques sur la semi-continuité supérieure
Quelques remarques sur la superposition F(x,ƒ(x))
Quelques remarques sur les classes de Baire des fonctions de deux variables
Quelques remarques sur les familles de fonctions de Baire de première classe
Question d'examen
Questions
Quotient mean series.
Quotients of peripherally continuous functions
We characterize the family of quotients of peripherally continuous functions. Moreover, we study cardinal invariants related to quotients in the case of peripherally continuous functions and the complement of this family.
-sequence and applications.
Racines de fonctions différentiables
Nous précisons la classe de différentiabilité de où désigne une fonction positive de classe , -plate sur l’ensemble de ses zéros, et un réel, ; de plus, nous étudions l’existence locale d’une racine -ième de classe , pour une fonction de classe admettant une racine -ième formelle en chaque point.
Rado's Inequality