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Geometric and Analytic Aspects of Functional Variational Principles: Cetraro, Italy 2022 by Andrea Cianchi at Abbey's Bookshop,
Geometric and Analytic Aspects of Functional Variational Principles: Cetraro, Italy 2022
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Andrea Cianchi Vladimir Maz'ya

Geometric and Analytic Aspects of Functional Variational Principles

Cetraro, Italy 2022

Andrea Cianchi,  Vladimir Maz'ya,  Tobias Weth ,  Rupert Frank

$162.95   $130.01

Paperback

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English
Springer International Publishing AG
20 November 2024
Calculus & mathematical analysis
Series: C.I.M.E. Foundation Subseries
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.
By:   ,
Edited by:   , ,
Imprint:   Springer International Publishing AG
Country of Publication:   Switzerland
Edition:   2024 ed.
Volume:   2348
Dimensions:   Height: 235mm,  Width: 155mm, 
ISBN:   9783031676000
ISBN 10:   3031676009
Series:   C.I.M.E. Foundation Subseries
Pages:   320
Publication Date:  
Audience:   Professional and scholarly ,  Undergraduate
Format:   Paperback
Publisher's Status:   Active
- The Sharp Sobolev Inequality and its Stability: An Introduction.- Nonlinear Potential Theoretic Methods in Nonuniformly Elliptic Problems.- Reduction Principles.- The Monge-Ampere Equation.- Injective Ellipticity, Cancelling Operators, and Endpoint Gagliardo-Nirenberg-Sobolev Inequalities for Vector Fields.

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