On the existence and regularity of non-flat profiles for a Bernoulli free boundary problem

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Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Gravina, Giovanni

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Title

On the existence and regularity of non-flat profiles for a Bernoulli free boundary problem

Title of Series

Topics in the Calculus of Variations: Recent Advances and New Trends (18w5094)

Number of Parts

Author

Gravina, Giovanni

Contributors

Leoni, Giovanni

License

CC Attribution - NonCommercial - NoDerivatives 4.0 International:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor.

Identifiers

10.5446/59088 (DOI)

Publisher

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Release Date

2018

Language

English

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Subject Area

Mathematics

Genre

Workshop/Interactive Format Lecture

Abstract

In this talk we consider a large class of Bernoulli-type free boundary problems with mixed periodic-Dirichlet boundary conditions. We show that solutions with non-flat profile can be found variationally as global minimizers of the Alt-Caffarelli energy functional.