Geometry of PDEs and related problems
β Cabre X., Henrot A
π Library
π
2018
π Springer
π English
β¦ LIBER β¦
π
Geometry of PDEs and Related Problems: Cetraro, Italy 2017
β Scribed by Xavier CabrΓ©, Antoine Henrot, Daniel Peralta-Salas, Wolfgang Reichel, Henrik Shahgholian, Chiara Bianchini, Antoine Henrot, Rolando Magnanini
- Publisher
- Springer International Publishing
- Year
- 2018
- Tongue
- English
- Leaves
- 207
- Series
- Lecture Notes in Mathematics 2220
- Edition
- 1st ed.
- Category
- Library
β¬ Acquire This Volume
No coin nor oath required. For personal study only.
β¦ Synopsis
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 19β23, 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.
β¦ Table of Contents
Front Matter ....Pages i-xi
Stable Solutions to Some Elliptic Problems: Minimal Cones, the Allen-Cahn Equation, and Blow-Up Solutions (Xavier CabrΓ©, Giorgio Poggesi)....Pages 1-45
Isoperimetric Inequalities for Eigenvalues of the Laplacian (Antoine Henrot)....Pages 47-88
Topological Aspects of Critical Points and Level Sets in Elliptic PDEs (Alberto Enciso, Daniel Peralta-Salas)....Pages 89-119
Symmetry Properties for Solutions of Higher-Order Elliptic Boundary Value Problems (Wolfgang Reichel)....Pages 121-145
Recent Trends in Free Boundary Regularity (Henrik Shahgholian)....Pages 147-196
Back Matter ....Pages 197-198
β¦ Subjects
Mathematics; Partial Differential Equations; Functional Analysis; Dynamical Systems and Ergodic Theory; Potential Theory
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