Convex analysis and variational problems (Studies in mathematics and its applications)

This is not a reprint, print on demand copy or facsimile copy. It is a hardcover book first published in 1976 a French translation of Analyse Convexe et Problemes Variationanels as Volume I Studies in mathematics and Its Applications. This book contains different developments of infinite dimensional convex programming in the context of convex analysis, including duality, minmax and Lagrangians, and convexification of nonconvex optimization problems in the calculus of variations (infinite dimension). It also includes the theory of convex duality applied to partial differential equations; no other reference presents this in a systematic way. The minmax theorems contained in this book have many useful applications, in particular the robust control of partial differential equations in finite time horizon.