Convex Analysis and Variational Problems

Preface to the Classics Edition Preface Part One: Fundamentals of Convex Analysis. Chapter I: Convex Functions Chapter II: Minimization of Convex Functions and Variational Inequalities Chapter III: Duality in Convex Optimization Part Two: Duality and Convex Variational Problems. Chapter IV: Applications of Duality to the Calculus of Variations (I) Chapter V: Applications of Duality to the Calculus of Variations (II) Chapter VI: Duality by the Minimax Theorem Chapter VII: Other Applications of Duality Part Three: Relaxation and Non-Convex Variational Problems. Chapter VIII: Existence of Solutions for Variational Problems Chapter IX: Relaxation of Non-Convex Variational Problems (I) Chapter X: Relaxation of Non-Convex Variational Problems (II) Appendix I: An a priori Estimate in Non-Convex Programming Appendix II: Non-Convex Optimization Problems Depending on a Parameter Comments Bibliography Index.