Introduction / Matteo Focardi and Emanuele Spadaro -- A-Free Measures and Applications / Guido De Philippis -- Regularity of Free Boundaries in Obstacle Problems / Xavier Ros-Oton -- Bernoulli Type Free Boundary Problems and Water Waves / Georg S. Weiss
Summary
This volume covers contemporary aspects of geometric measure theory with a focus on applications to partial differential equations, free boundary problems and waterwaves. It is based on lectures given at the 2019 CIME summer school "Geometric Measure Theory and Applications From Geometric Analysis to Free Boundary Problems" which took place in Cetraro, Italy, under the scientific direction of Matteo Focardi and Emanuele Spadaro. Providing an up-to-date account of the Yau conjecture, a description of the structure of measures satisfying certain differential constraints, and covering regularity theory for Bernoulli type free boundary problems and water waves, it will be of interest to students and researchers in mathematical analysis and its applications
Bibliography
Includes bibliographical references
Notes
Online resource; title from PDF title page (SpringerLink, viewed April 5, 2021)
