Convex analysis and variational problems Cover13; Convex Analysis and Variational Problems Copyright Page Contents 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): problems of the type minimal hypersurfaces 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