Functional Analysis, Sobolev Spaces, and Calculus of Variations (Paperback, 2024)

1? Motivation and perspective.-?Part I: Basic Functional Analysis and Calculus of Variations.- 2 A first exposure to Functional Analysis.- 3?Introduction to convex analysis. The Hahn-Banach and Lax-Milgram theorems.- 4?The Calculus of Variations for one-dimensional problems.-?Part II: Basic Operator Theory.- 5?Continuous operators.- 6 Compact operators.- Part III: Multidimensional Sobolev Spaces and Scalar Variational Problems.- 7 Multidimensional Sobolev spaces.- 8 Variational problems.- 9?Finer results in Sobolev spaces and the Calculus of Variations.- Appendix A:?Hints and solutions to exercises.- Appendix B:?So much to learn.