Geometric and Analytic Aspects of Functional Variational Principles
Cetraro, Italy 2022
Giuseppe Mingione author Rupert Frank author Lubos Pick author Ovidiu Savin author Jean Van Schaftingen author Vladimir Maz'ya editor Andrea Cianchi editor Tobias Weth editor
Format:Paperback
Publisher:Springer International Publishing AG
Published:20th Nov '24
Should be back in stock very soon

This book is dedicated to exploring optimization problems of geometric-analytic nature, which are fundamental to tackling various unresolved questions in mathematics and physics. These problems revolve around minimizing geometric or analytic quantities, often representing physical energies, within prescribed collections of sets or functions. They serve as catalysts for advancing methodologies in calculus of variations, partial differential equations, and geometric analysis. Furthermore, insights from optimal functional-geometric inequalities enhance analytical problem-solving endeavors.
The contributions focus on the intricate interplay between these inequalities and problems of differential and variational nature. Key topics include functional and geometric inequalities, optimal norms, sharp constants in Sobolev-type inequalities, and the regularity of solutions to variational problems. Readers will gain a comprehensive understanding of these concepts, deepening their appreciation for their relevance in mathematical and physical inquiries.
ISBN: 9783031676000
Dimensions: unknown
Weight: unknown
320 pages
2024 ed.