Geometric and Analytic Aspects of Functional Variational Principles: Cetraro, Italy 2022 (C.I.M.E. Foundation Subseries, Band 2348) - Softcover

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

 
9783031676000: Geometric and Analytic Aspects of Functional Variational Principles: Cetraro, Italy 2022 (C.I.M.E. Foundation Subseries, Band 2348)
Softcover
ISBN 10: 3031676009 ISBN 13: 9783031676000
Verlag: Springer, 2024

Inhaltsangabe

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.

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Von der hinteren Coverseite

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.

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Verlag
Springer
Erscheinungsdatum
2024
Sprache
Englisch
ISBN 10 
3031676009
ISBN 13 
9783031676000
Einband
Taschenbuch
Anzahl der Seiten
332
Herausgeber
Cianchi Andrea, Maz'ya Vladimir, Weth Tobias
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