| Descript |
xi, 196 pages : illustrations (some color) |
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text txt rdacontent |
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computer c rdamedia |
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online resource cr rdacarrier |
| Series |
Lecture notes in mathematics, 0075-8434 ; 2220. CIME Foundation subseries
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Lecture notes in mathematics (Springer-Verlag) ; 2220
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| Note |
Preface / Chiara Bianchini, Antoine Henrot, Rolando Magnanini -- Stable solutions to some elliptic problems : minimal cones, the Allen-Cahn equation, and blow-up solutions / Xavier Cabrā„ and Giorgio Poggesi -- Isoperimetric inequalities for eigenvalues of the Laplacian / Antoine Henrot -- Topological aspects of critical points and level sets in elliptic PDEs / Alberto Encisco and Daniel Peralta-Salas -- Symmetry properties for solutions of higher-order elliptic boundary value problems / Wolfgang Reichel -- Recent trends in free boundary regularity / Henrik Shahgholian |
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The aim of this book is to present different aspects of the deep interplay between Partial Differential Equations and Geometry. It gives an overview of some of the themes of recent research in the field and their mutual links, describing the main underlying ideas, and providing up-to-date references. Collecting together the lecture notes of the five mini-courses given at the CIME Summer School held in Cetraro (Cosenza, Italy) in the week of June 19-23, 2017, the volume presents a friendly introduction to a broad spectrum of up-to-date and hot topics in the study of PDEs, describing the state-of-the-art in the subject. It also gives further details on the main ideas of the proofs, their technical difficulties, and their possible extension to other contexts. Aiming to be a primary source for researchers in the field, the book will attract potential readers from several areas of mathematics |
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Includes bibliographical references |
| Subject |
Differential equations, Elliptic -- Congresses
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Differential equations, Partial -- Congresses
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Mathematics -- Functional Analysis.
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Mathematics -- Mathematical Analysis.
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Mathematics -- Vector Analysis.
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Functional analysis & transforms. bicssc
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Nonlinear science. bicssc
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Stochastics. bicssc
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Mathematics -- Differential Equations.
bisacsh
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Differential calculus & equations. bicssc
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| Alt Author |
Henrot, Antoine, 1957- editor
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Peralta-Salas, Daniel, author
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Reichel, Wolfgang, author
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Shahgholian, Henrik, author
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Bianchini, Chiara, editor
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Magnanini, Rolando, editor
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