Frida Fejne

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math.AP2026

Regularity of a free boundary determined by the value of the gradient. Part 1: Third order asymptotics

Frida Fejne

This is the first part of a project concerning the regularity of the free boundary of a function, where the free boundary depends on the gradient of the function. We study the mini…

math.AP2026

On an evolutionary equation involving the nonlocal infinity Laplacian

Frida Fejne

We study the evolutionary equation $\frac{\partial u}{\partial t} = (L_{\infty})^{α} u in Ω,$ where $(L_{\infty})^{α} u$ denotes a nonlocal infin…

math.AP2025

On the comparison principle for a nonlocal infinity Laplacian

Frida Fejne

In this article, we prove the uniqueness of viscosity solutions to $L_{\infty} u = f$ in $Ω$ , where $L_{\infty}$ denotes the nonlocal infinity Laplace operator,…