On the comparison principle for a nonlocal infinity Laplacian

2025/01/08 by Frida Fejne, Fejne, Frida · 1 citation
Computer Science · Mathematics · #35D40 #35R11 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2501.04506

openalex publication_date 2025/01/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this article, we prove the uniqueness of viscosity solutions to L_∞ u =f in Ω, where L_∞ denotes the nonlocal infinity Laplace operator, Ω a bounded domain, and f a continuous functions such that f ≤ 0. Uniqueness is established through a comparison principle.

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