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Geometry of PDEs and Related Problems: Cetraro, Italy 2017
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Geometry of PDEs and Related Problems: Cetraro, Italy 2017

Geometry of PDEs and Related Problems: Cetraro, Italy 2017

Xavier / Henrot Cabre

195 pages, parution le 15/09/2018

Résumé

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.

Preface.-X. Cabre and G. Poggesi: Stable solutions to some elliptic problems: minimal cones, the Allen-Cahn equation, and blow-up solutions.- A. Henrot: Isoperimetric inequalities for eigenvalues of the Laplacian.- D. Peralta-Salas and A. Enciso: Topological aspects of critical points and level sets in elliptic PDE.- W. Reichel: Symmetry properties for solutions of higher-order elliptic boundary value problems.- H. Shahgholian: Recent trends in free boundary regularity.

Caractéristiques techniques

  PAPIER
Éditeur(s) Springer
Auteur(s) Xavier / Henrot Cabre
Parution 15/09/2018
Nb. de pages 195
EAN13 9783319951850

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