This thesis is devoted to the study of two different problems: the properties of the disintegration of the Lebesgue measure on the faces of a convex function and the existence of smooth approximations of bi-Lipschitz orientation-preserving homeomorphisms in the plane
International audienceWe prove that any problem of minimization of proper lower semicontinuous funct...
We characterize Young measures generated by gradients of bi-Lipschitz orientation-preservi...
Abstract. We study the Hausdorff dimension and the pointwise di-mension of measures that are not nec...
This thesis is devoted to the study of two different problems: the properties of the disintegration ...
AbstractWe consider the disintegration of the Lebesgue measure on the graph of a convex function f:R...
We consider the disintegration of the Lebesgue measure on the graph of a convex function f : Rn → R ...
We consider the disintegration of the Lebesgue measure on the graph of a convex function f : Rn \u21...
We construct two bi-Lipschitz continuous, volume preserving maps from Euclidean space onto itself wh...
We partly extend the localisation technique from convex geometry to the multiple constraints setting...
Abstract. This paper is concerned with the problem of approximating in the Sobolev norm a homeomorph...
In the first part of the dissertation we prove that, under quite general conditions on a cost functi...
International audienceWe prove that any problem of minimization of proper lower semicontinuous funct...
International audienceWe prove that any problem of minimization of proper lower semicontinuous funct...
In this thesis, we start by providing some background knowledge on importance of convex analysis. Th...
International audienceWe prove that any problem of minimization of proper lower semicontinuous funct...
International audienceWe prove that any problem of minimization of proper lower semicontinuous funct...
We characterize Young measures generated by gradients of bi-Lipschitz orientation-preservi...
Abstract. We study the Hausdorff dimension and the pointwise di-mension of measures that are not nec...
This thesis is devoted to the study of two different problems: the properties of the disintegration ...
AbstractWe consider the disintegration of the Lebesgue measure on the graph of a convex function f:R...
We consider the disintegration of the Lebesgue measure on the graph of a convex function f : Rn → R ...
We consider the disintegration of the Lebesgue measure on the graph of a convex function f : Rn \u21...
We construct two bi-Lipschitz continuous, volume preserving maps from Euclidean space onto itself wh...
We partly extend the localisation technique from convex geometry to the multiple constraints setting...
Abstract. This paper is concerned with the problem of approximating in the Sobolev norm a homeomorph...
In the first part of the dissertation we prove that, under quite general conditions on a cost functi...
International audienceWe prove that any problem of minimization of proper lower semicontinuous funct...
International audienceWe prove that any problem of minimization of proper lower semicontinuous funct...
In this thesis, we start by providing some background knowledge on importance of convex analysis. Th...
International audienceWe prove that any problem of minimization of proper lower semicontinuous funct...
International audienceWe prove that any problem of minimization of proper lower semicontinuous funct...
We characterize Young measures generated by gradients of bi-Lipschitz orientation-preservi...
Abstract. We study the Hausdorff dimension and the pointwise di-mension of measures that are not nec...