Geometry of PDEs and Related Problems

Cetraro, Italy 2017

Xavier Cabré, Antoine Henrot, Daniel Peralta-Salas , Wolfgang Reichel

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English

Springer International Publishing AG
04 October 2018

Differential calculus & equations; Stochastics; Non-linear science

Series: C.I.M.E. Foundation Subseries

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.

By: Xavier Cabré, Antoine Henrot, Daniel Peralta-Salas, Wolfgang Reichel, Henrik Shahgholian
Imprint: Springer International Publishing AG
Country of Publication: Switzerland
Edition: 2018 ed.
Volume: 2220
Dimensions: Height: 235mm, Width: 155mm,
Weight: 454g
ISBN: 9783319951850
ISBN 10: 3319951858
Series: C.I.M.E. Foundation Subseries
Pages: 198
Publication Date: 04 October 2018
Audience: Professional and scholarly , College/higher education , Undergraduate , Further / Higher Education
Format: Paperback
Publisher's Status: Active

- 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.