# A rigidity result for overdetermined elliptic problem in the plane

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David Ruiz

created by malchiodi on 10 Jul 2015

modified on 20 Jul 2015

29 jul 2015
-- 14:00
[open in google calendar]

Scuola Normale Superiore, Aula Bianchi Scienze

**Abstract.**

In this talk we consider an overdetermined elliptic problem posed in an unbounded domain of the plane. This kind of problems appears in many different contexts, like free boundary problems, obstacle problems and optimization.

We prove that if the boundary of the domain is connected and unbounded the domain must be a half-plane. This gives an anwer to a question raised by Berestycki, Caffarelli and Nirenberg in 1997.
This is joint work with Antonio Ros (U. Granada) and P. Sicbaldi (U. Aix Marseille).