A combinatorial theory of Grünbaum's new regular polyhedra, Part I: Grünbaum's new regular polyhedra and their automorphism group.
A compact convex set with no extreme points
A conjecture of Grünbaum on common transversals.
A conjecture on convex polyhedra.
A conjugate direction method for approximating the analytic center of a polytope.
A construction for periodically-cyclic Gale -polytopes.
A continuum of minimal pairs of compact convex sets which are not connected by translations.
A contribution to the light field theory
A converse to the Lions-Stampacchia theorem
In this paper we show that a linear variational inequality over an infinite dimensional real Hilbert space admits solutions for every nonempty bounded closed and convex set, if and only if the linear operator involved in the variational inequality is pseudo-monotone in the sense of Brezis.
A converse to the Lions-Stampacchia Theorem
In this paper we show that a linear variational inequality over an infinite dimensional real Hilbert space admits solutions for every nonempty bounded closed and convex set, if and only if the linear operator involved in the variational inequality is pseudo-monotone in the sense of Brezis.
A convex polygon as a discrete plane curve.
A correction to my paper:"Some topological extensions of plane geometry"
A Criterion for the Affine Equivalence of Cell Complexes in Rd and Convex Polyhedra in Rd+1 .
A criterion for unimodality.
A. D. Alexandrov's uniqueness theorem for convex polytopes and its refinements.
A Decomposition of 2-Weak Vertex-Packing Polytopes.
A Decomposition of Measures in Euclidean Space Yielding Error Bounds for Quadrature Formulas.
A differential inclusion : the case of an isotropic set
In this article we are interested in the following problem: to find a map that satisfieswhere is an open set of and is a compact isotropic set of . We will show an existence theorem under suitable hypotheses on .
A differential inclusion: the case of an isotropic set
In this article we are interested in the following problem: to find a map that satisfies where Ω is an open set of and E is a compact isotropic set of . We will show an existence theorem under suitable hypotheses on φ.
A discrete version of the Brunn-Minkowski inequality and its stability
In the first part of the paper, we define an approximated Brunn-Minkowski inequality which generalizes the classical one for metric measure spaces. Our new definition, based only on properties of the distance, allows also us to deal with discrete metric measure spaces. Then we show the stability of our new inequality under convergence of metric measure spaces. This result gives as corollary the stability of the classical Brunn-Minkowski inequality for geodesic spaces. The proof of this stability...