Descript 
xi, 196 pages : illustrations (some color) 

text txt rdacontent 

computer c rdamedia 

online resource cr rdacarrier 
Series 
Lecture notes in mathematics, 00758434 ; 2220. CIME Foundation subseries


Lecture notes in mathematics (SpringerVerlag) ; 2220

Note 
Preface / Chiara Bianchini, Antoine Henrot, Rolando Magnanini  Stable solutions to some elliptic problems : minimal cones, the AllenCahn equation, and blowup 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 PeraltaSalas  Symmetry properties for solutions of higherorder 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 uptodate references. Collecting together the lecture notes of the five minicourses given at the CIME Summer School held in Cetraro (Cosenza, Italy) in the week of June 1923, 2017, the volume presents a friendly introduction to a broad spectrum of uptodate and hot topics in the study of PDEs, describing the stateoftheart 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


PeraltaSalas, Daniel, author


Reichel, Wolfgang, author


Shahgholian, Henrik, author


Bianchini, Chiara, editor


Magnanini, Rolando, editor

