A First Course in Sobolev Spaces (Second Edition)

In this comprehensive exploration of Sobolev spaces, Giovanni Leoni presents a detailed examination of the differentiation of functions. The text is thoughtfully organized into two main sections, allowing readers to approach the material in a structured manner, whether for self-study or as part of a formal course. This edition expands on foundational concepts while integrating modern developments, making it a valuable resource for graduate students and researchers alike.

Leoni’s clear and engaging writing style demystifies complex topics, providing readers with a solid understanding of Sobolev spaces and their applications in various fields. Throughout the chapters, he emphasizes the connections between theory and practice, ensuring that students can grasp not only the mathematical underpinnings but also their significance in solving real-world problems.