For the fractional (p,q)-Poisson equation, viscosity solutions are C^{0,γ} with explicit exponent min{1, (sp+α∧β)/(p-1), sp/(p-2)} for p>2, and Lipschitz when that exponent exceeds 1.
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Improved H\"older regularity of fractional $(p,q)$-Poisson equation with regular data
For the fractional (p,q)-Poisson equation, viscosity solutions are C^{0,γ} with explicit exponent min{1, (sp+α∧β)/(p-1), sp/(p-2)} for p>2, and Lipschitz when that exponent exceeds 1.