Special Session 10: Recent Developments in Regularity Theory for PDEs
The free boundary for a superlinear system
Seongmin Jeon
Hanyang University Korea
Co-Author(s): Daniela De Silva, Henrik Shahgholian
Abstract:
In this talk, we discuss superlinear systems that give rise to free boundaries. Such systems appear for example from the minimization of the energy functional
$$
\int_{\Omega}\left(|\nabla\mathbf{u}|^2+\frac2p|\mathbf{u}|^p\right),\quad 0