Special Session 149: Recent developments in Free Boundary Problems and Nonlinear PDEs
Constructing nontrivial global periodic solutions to the Bernoulli free boundary problem in 3D
Nikola Kamburov
Pontificia Universidad Catolica de Chile Chile
Co-Author(s): Jose Basulto
Abstract:
I this talk I will present the construction of a new family of Delaunay-type solutions to the Bernoulli one-phase free boundary problem in dimension 3, starting from the double hairpin solution of Hauwirth-H\`elein-Pacard in $\mathbb{R}^2$. This is joint work with J. Basulto (UC).