Handbook of Calculus of Variations for Absolute Beginners
About this ebook
A long list of problems will guide the student through the study of the subject. Almost all the problems come with their fully detailed solutions. The book is complemented by four appendices, which contribute to making it self-contained, as well as to deepening the study of certain parts.
Despite being designed for students, even the researchers in the field could find a reading of the book profitable, at least for certain parts concerning the properties of Sobolev spaces, functional inequalities of the Sobolev-Poincaré type, tricks to handle nonlinear elliptic PDEs, and a gentle introduction to some techniques of modern regularity theory for elliptic PDEs.
About the author
Lorenzo Brasco was born in Firenze in 1981. He received his Ph.D. in mathematics in 2010 from the University of Pisa and University of Paris-Dauphine in a joint Ph.D. program. From 2010–2011, he held a postdoc position at the University of Naples, funded by an ERC project. From 2011 to 2015, he was Maître de Conférences at Aix-Marseille Université. From 2015 to 2023, he was an Associate Professor of Mathematical Analysis at the University of Ferrara. He is now a Full Professor of Mathematical Analysis at the same university. Author of more than 60 research papers published in international peer-reviewed journals. Invited speaker in several international workshops and research institutes, including the Banff International Research Station, the Mathematisches Forschunginstitut Oberwolfach and the Mittag-Leffler Institute. His research areas are the calculus of variations and partial differential equations.
