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Focusing on the foundational aspects of the Calculus of Variations, this book is designed for students with no prior background, making it self-contained. It begins with essential concepts in Functional Analysis and Sobolev spaces, progressing to one-dimensional variational problems with numerous examples and exercises. The text also covers continuous and compact operators, leading to multi-dimensional Sobolev spaces and complex problems. With a didactic approach, it aims to build a solid understanding, encouraging students to explore more advanced topics in the field.
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Functional Analysis, Sobolev Spaces, and Calculus of Variations, Pablo Pedregal
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- 2024
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