Geometric and Analytic Aspects of Functional Variational Principles Cetraro, Italy 2022 /
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 p...
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| Auteurs principaux: | , , , , |
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| Autres auteurs: | , , |
| Format: | Électronique eBook |
| Langue: | anglais |
| Publié: |
Cham :
Springer Nature Switzerland : Imprint: Springer,
2024.
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| Édition: | 1st ed. 2024. |
| Collection: | C.I.M.E. Foundation Subseries,
2348 |
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| Accès en ligne: | https://doi.org/10.1007/978-3-031-67601-7 |
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| 245 | 1 | 0 | |a Geometric and Analytic Aspects of Functional Variational Principles |h [electronic resource] : |b Cetraro, Italy 2022 / |c by Rupert Frank, Giuseppe Mingione, Lubos Pick, Ovidiu Savin, Jean Van Schaftingen ; edited by Andrea Cianchi, Vladimir Maz'ya, Tobias Weth. |
| 250 | |a 1st ed. 2024. | ||
| 264 | 1 | |a Cham : |b Springer Nature Switzerland : |b Imprint: Springer, |c 2024. | |
| 300 | |a 1 online resource (IX, 320 p. 9 illus.). | ||
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| 490 | 1 | |a C.I.M.E. Foundation Subseries, |x 2946-1820 ; |v 2348 | |
| 505 | 0 | |a - 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. | |
| 520 | |a 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. | ||
| 532 | 8 | |a Accessibility summary: This PDF does Not fully comply with PDF/UA standards but does include limited screen reader support, descriptions for Non-text content (such as images and graphs), bookmarks for easy navigation, and searchable, selectable text. Users of assistive technologies may experience difficulty navigating or interpreting content in this document. We recognise the importance of accessibility and welcome queries about accessibility for any of our products. If you have a question or an access need, please get in touch with us via https://www.springernature.com/gp/info/accessibility | |
| 532 | 8 | |a Inaccessible, or known limited accessibility | |
| 532 | 8 | |a No reading system accessibility options actively disabled | |
| 532 | 8 | |a Publisher contact for further accessibility information: accessibilitysupport@springernature.com | |
| 588 | |a Print version record. | ||
| 650 | 0 | |a Mathematical analysis. | |
| 650 | 0 | |a Differential equations. | |
| 650 | 1 | 4 | |a Analysis. |
| 650 | 2 | 4 | |a Differential Equations. |
| 700 | 1 | |a Mingione, Giuseppe. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 700 | 1 | |a Pick, Lubos. |e author. |0 (orcid)0000-0002-3584-1454 |1 https://orcid.org/0000-0002-3584-1454 |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 700 | 1 | |a Savin, Ovidiu. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 700 | 1 | |a Van Schaftingen, Jean. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 700 | 1 | |a Cianchi, Andrea. |e editor. |0 (orcid)0000-0002-1198-8718 |1 https://orcid.org/0000-0002-1198-8718 |4 edt |4 http://id.loc.gov/vocabulary/relators/edt | |
| 700 | 1 | |a Maz'ya, Vladimir. |e editor. |4 edt |4 http://id.loc.gov/vocabulary/relators/edt | |
| 700 | 1 | |a Weth, Tobias. |e editor. |0 (orcid)0000-0001-5347-8057 |1 https://orcid.org/0000-0001-5347-8057 |4 edt |4 http://id.loc.gov/vocabulary/relators/edt | |
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| 776 | 0 | 8 | |i Printed edition: |z 9783031676000 |
| 776 | 0 | 8 | |i Printed edition: |z 9783031676024 |
| 830 | 0 | |a C.I.M.E. Foundation Subseries, |x 2946-1820 ; |v 2348 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-3-031-67601-7 |
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