On the comparison principle for a nonlocal infinity Laplacian

Frida Fejne

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arXiv · 2501.04506

On the comparison principle for a nonlocal infinity Laplacian

Frida Fejne

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Abstract

In this article, we prove the uniqueness of viscosity solutions to $\mathcal{L}_{\infty} u =f$ in $\Omega$, where $\mathcal{L}_{\infty}$ denotes the nonlocal infinity Laplace operator, $\Omega$ a bounded domain, and $f$ a continuous functions such that $f \leq 0$. Uniqueness is established through a comparison principle.

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Frida Fejne. 2025-01-08. On the comparison principle for a nonlocal infinity Laplacian. https://arxiv.org/abs/2501.04506

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