2 papers
math.AP2025
The free boundary for a superlinear system
Daniela De Silva, Seongmin Jeon, Henrik Shahgholian
In this paper, we study superlinear systems that give rise to free boundaries. Such systems appear for example from the minimization of the energy functional $$ \int_Ω\left(|\nabla…
math.AP2021
Inhomogeneous global minimizers to the one-phase free boundary problem
Daniela De Silva, David Jerison, Henrik Shahgholian
Given a global 1-homogeneous minimizer to the Alt-Caffarelli energy functional, with , we provide a foliation of the half-space $\R^{n} \times [0,+\inft…