29 citations · 161 across the 22 of their papers we have counts for
Showing 2022Show all
2 papers · 1 filter
math.AP2022
Almost minimizers for a sublinear system with free boundary
Daniela De Silva, Seongmin Jeon, Henrik Shahgholian
We study vector-valued almost minimizers of the energy functional $$\int_D\left(|\nabla\mathbf{u}|^2+\frac2{1+q}\left(λ_+(x)|\mathbf{u}^+|^{q+1}+λ_-(x)|\mathbf{u}^-|^{q+1}\right)\r…
math.AP2022
Uniform density estimates and -convergence for the Alt-Phillips functional of negative powers
Daniela De Silva, Ovidiu Savin
We obtain density estimates for the free boundaries of minimizers of the Alt-Phillips functional involving negative power potentials $$\int_Ω\left(|\nabla u|^2 + u^{-γ} χ…