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Tables of Contents for Convex Analysis and Variational Problems
Chapter/Section Title
Page #
Page Count
Preface to the Classics Edition
ix
Preface
xi
PART ONE FUNDAMENTALS OF CONVEX ANALYSIS
Convex functions
3
31
Minimization of convex functions and variational inequalities
34
12
Duality in convex optimization
46
29
PART TWO DUALITY AND CONVEX VARIATIONAL PROBLEMS
Applications of duality to the calculus of variations (I)
75
41
Applications of duality to the calculus of variations (II): problems of the type minimal hypersurfaces
116
49
Duality by the minimax theorem
165
21
Other applications of duality
186
45
PART THREE RELAXATION AND NON-CONVEX VARIATIONAL PROBLEMS
Existence of solutions for variational problems
231
32
Relaxation of non-convex variational problems (I)
263
34
Relaxation of non-convex variational problems (II)
297
60
Appendix I. An a priori estimate in non-convex programming
357
18
Appendix II. Non-convex optimization problems depending on a parameter
375
10
Comments
385
6
Bibliography
391
11
Index
402