Geometric and Analytic Aspects of Functional Variational Principles: Cetraro, Italy 2022 - Couverture souple

Frank, Rupert; Mingione, Giuseppe; Pick, Lubos; Savin, Ovidiu; Van Schaftingen, Jean

 
9783031676000: Geometric and Analytic Aspects of Functional Variational Principles: Cetraro, Italy 2022
Couverture souple
ISBN 10 : 3031676009 ISBN 13 : 9783031676000
Editeur : Springer, 2024

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer
Date d'édition
2024
Langue
anglais
ISBN 10 
3031676009
ISBN 13 
9783031676000
Reliure
Broché
Nombre de pages
332
Éditeur
Cianchi Andrea, Maz'ya Vladimir, Weth Tobias
Coordonnées du fabricant
Springer Nature Customer Service Center GmbH
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