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Author Cabre Xavier, 1966- author
Title Geometry of PDEs and Related Problems : Cetraro, Italy 2017 / by Xavier Cabre, Antoine Henrot, Daniel Peralta-Salas, Wolfgang Reichel, Henrik Shahgholian ; edited by Chiara Bianchini, Antoine Henrot, Rolando Magnanini
Imprint Cham, Switzerland : Springer ; [Cetraro] : Fondazione C.I.M.E., [2018]
book jacket
 Mathematics Library  QA377 C33 2018    AVAILABLE    30340200560229
Descript xi, 196 pages : illustrations (some color)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
Series Lecture notes in mathematics, 0075-8434 ; 2220. CIME Foundation subseries
Lecture notes in mathematics (Springer-Verlag) ; 2220
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
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
Includes bibliographical references
Subject Differential equations, Elliptic -- Congresses
Differential equations, Partial -- Congresses
Mathematics -- Functional Analysis. bisacsh
Mathematics -- Mathematical Analysis. bisacsh
Mathematics -- Vector Analysis. bisacsh
Functional analysis & transforms. bicssc
Nonlinear science. bicssc
Stochastics. bicssc
Mathematics -- Differential Equations. bisacsh
Differential calculus & equations. bicssc
Alt Author Henrot, Antoine, 1957- editor
Peralta-Salas, Daniel, author
Reichel, Wolfgang, author
Shahgholian, Henrik, author
Bianchini, Chiara, editor
Magnanini, Rolando, editor
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