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Journal of Convex Analysis 11 (2004), No. 1, 131--146
Copyright Heldermann Verlag 2004

Finite Convex Integration

Delphine Lambert
Dep. de Mathematique, Facultes Universitaires Notre Dame de la Paix, Namur, Belgium, delphine.lambert@math.fundp.ac.be

J.-P. Crouzeix
LIMOS, Universite Blaise Pascal, Clermont-Ferrand, France

Van Hien Nguyen
Dep. de Mathematique, Facultes Universitaires Notre Dame de la Paix, Namur, Belgium

Jean-Jacques Strodiot
Dep. de Mathematique, Facultes Universitaires Notre Dame de la Paix, Namur, Belgium

This paper is concerned with the finite convex integration problem which for a given finite family of pairs of points { (xi, xi*) }, consists in finding a convex function f such that xi* lies in δf(xi) for all i , where δf(xi) denotes the Fenchel-subdifferential of f at x.

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