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arXiv · 2310.11111

Nonlocal degenerate Isaacs operators: H\"older regularity

Isabeau Birindelli·Giulio Galise·Yannick Sire
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Abstract

We show that bounded viscosity solutions of some nonlocal degenerate Isaacs type operators of order $2s$ are H\"older continuous, provided $s$ is sufficiently close to 1. As an application we obtain a Liouville theorem.

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Isabeau Birindelli, Giulio Galise, Yannick Sire. 2023-10-17. Nonlocal degenerate Isaacs operators: H\"older regularity. https://doi.org/10.4310/mrl.260112002107

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