LEADER 03760nam a2200541 i 4500 001 991003636539707536 006 m o d 007 cr nn||||mamaa 008 190409s2018 sz a ob 100 0 eng d 020 $a3319951866 020 $a9783319951867 020 $z3319951858 020 $z9783319951850 024 7 $a10.1007/978-3-319-95186-7$2doi 035 $ab1436394x-39ule_inst 040 $aBibl. Dip.le Aggr. Matematica e Fisica - Sez. Matematica$beng 082 04$a515.353$223 084 $aAMS 35-06 084 $aAMS 35J 084 $aLC QA377.C33 245 00$aGeometry of PDEs and related problems$h[e-book] :$bCetraro, Italy 2017 /$cby Xavier Cabré, Antoine Henrot, Daniel Peralta-Salas, Wolfgang Reichel, Henrik Shahgholian ; edited by Chiara Bianchini, Antoine Henrot, Rolando Magnanini 264 1$aCham, Switzerland :$bSpringer ;$a[Cetraro] :$bFondazione C.I.M.E.,$c[2018] 300 $a1 online resource (xi, 196 pages) :$billustrations (some color) 336 $atext$btxt$2rdacontent 337 $acomputer$bc$2rdamedia 338 $aonline resource$bcr$2rdacarrier 347 $atext file$bPDF$2rda 490 1 $aLecture notes in mathematics,$x0075-8434 ;$v2220.$aCIME Foundation subseries 504 $aIncludes bibliographical references 505 00$tPreface /$rChiara Bianchini, Antoine Henrot, Rolando Magnanini --$tStable solutions to some elliptic problems : minimal cones, the Allen-Cahn equation, and blow-up solutions /$rXavier Cabré and Giorgio Poggesi --$tIsoperimetric inequalities for eigenvalues of the Laplacian /$rAntoine Henrot --$tTopological aspects of critical points and level sets in elliptic PDEs /$rAlberto Encisco and Daniel Peralta-Salas --$tSymmetry properties for solutions of higher-order elliptic boundary value problems /$rWolfgang Reichel --$tRecent trends in free boundary regularity /$rHenrik Shahgholian 520 $aThe aim of this book is to present different aspects of the deep interplay between Partial Differential Equations and Geometry. It gives an overview of some of the themes of recent research in the field and their mutual links, describing the main underlying ideas, and providing up-to-date references. Collecting together the lecture notes of the five mini-courses given at the CIME Summer School held in Cetraro (Cosenza, Italy) in the week of June 19-23, 2017, the volume presents a friendly introduction to a broad spectrum of up-to-date and hot topics in the study of PDEs, describing the state-of-the-art in the subject. It also gives further details on the main ideas of the proofs, their technical difficulties, and their possible extension to other contexts. Aiming to be a primary source for researchers in the field, the book will attract potential readers from several areas of mathematics 650 0$aDifferential equations, Elliptic$vCongresses 650 0$aDifferential equations, Partial$vCongresses 700 1 $aCabré, Xavier$eauthor$4http://id.loc.gov/vocabulary/relators/aut$062844 700 1 $aBianchini, Chiara 700 1 $aHenrot, Antoine$eauthor$4http://id.loc.gov/vocabulary/relators/aut$0503208 700 1 $aMagnanini, Rolando 700 1 $aPeralta-Salas, Daniel 700 1 $aReichel, Wolfgang 700 1 $aShahgholian, Henrik 711 2 $aC.I.M.E. Summer School "Splines and PDEs"$d<2017 ;$cCetraro, Italy> 776 08$iPrinted edition:$z9783319951850 856 40$zAn electronic book accessible through the World Wide Web$uhttp://link.springer.com/10.1007/978-3-319-95186-7 907 $a.b1436394x$b03-03-22$c09-04-19 912 $a991003636539707536 996 $aGeometry of PDEs and related problems$91749893 997 $aUNISALENTO 998 $ale013$b09-04-19$cm$d@ $e-$feng$gsz $h0$i0