Daniela De Silva

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math.AP2022

Uniform density estimates and $Γ$ -convergence for the Alt-Phillips functional of negative powers

Daniela De Silva, Ovidiu Savin

We obtain density estimates for the free boundaries of minimizers $u \geq 0$ of the Alt-Phillips functional involving negative power potentials $$\int_Ω\left(|\nabla u|^2 + u^{-γ} χ…

math.AP2020

On the Boundary Harnack Principle in Holder domains

Daniela De Silva, Ovidiu Savin

We investigate the Boundary Harnack Principle in Hölder domains of exponent $α > 0$ by the analytical method developed in our previous work "A short proof of Boundary Harnack Princip…

Uniform density estimates and Γ-convergence for the Alt-Phillips functional of negative powers

On the Boundary Harnack Principle in Holder domains

Uniform density estimates and $Γ$ -convergence for the Alt-Phillips functional of negative powers