Partial Differential Equations

From the reviews of the second edition:

"Because of the nice global presentation, I recommend this book to students and young researchers who need the now classical properties of these second-order partial differential equations. Teachers will also find in this textbook the basis of an introductory course on second-order partial differential equations."

- Alain Brillard, Mathematical Reviews

"Beautifully written and superbly well-organised, I strongly recommend this book to anyone seeking a stylish, balanced, up-to-date survey of this central area of mathematics."

- Nick Lord, The Mathematical Gazette

“It is an expanded translation by the author of the German original. … The range of methods is wide, covering integral kernels, maximum principles, variational principles, gradient descents, weak derivatives and Sobolev spaces. … the proof are clear and pleasant, provided the reader has a good command in integration theory. … This book is an interesting introduction to the multiple facets of partial differential equations –– especially to regularity theory –– for the reader who has already a good background in analysis.” (Jean Van Schaftingen, Bulletin of the Belgian Mathematical Society, 2007)