Geometric Measure Theory and Free Boundary Problems

Geometric Measure Theory and Free Boundary Problems

Cetraro, Italy 2019

Herausgegeben: Focardi, Matteo; Spadaro, Emanuele
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This volume covers contemporary aspects of geometric measure theory with a focus on applications to partial differential equations, free boundary problems and water waves. 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 a description of the structure of measures satisfying certain differential constraints, and covering regularity theory for Bernoulli type free boundary pro...