Geometry of PDEs and Related Problems: Cetraro, Italy 2017

by Xavier Cabré, Antoine Henrot, Daniel Peralta-Salas, Wolfgang Reichel, Henrik Shahgholian

Overview

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.

Product Details

ISBN-13:	9783319951867
Publisher:	Springer International Publishing
Publication date:	10/03/2018
Series:	Lecture Notes in Mathematics , #2220
Sold by:	Barnes & Noble
Format:	eBook
File size:	12 MB
Note:	This product may take a few minutes to download.

Table of Contents

- Stable Solutions to Some Elliptic Problems: Minimal Cones, the Allen-Cahn Equation, and Blow-Up Solutions. - Isoperimetric Inequalities for Eigenvalues of the Laplacian. - Topological Aspects of Critical Points and Level Sets in Elliptic PDEs. - Symmetry Properties for Solutions of Higher-Order Elliptic Boundary Value Problems. - Recent Trends in Free Boundary Regularity.