PDE and mathematical physics · Oct 6, 2026
Interior regularity for infinity-harmonic functions
Proves uniform interior regularity for bounded infinity-harmonic functions in every dimension d ≥ 3, for a positive exponent depending only on dimension. The gradient's supremum norm and Hölder seminorm on the half unit ball are bounded by a dimension-dependent constant times the oscillation on the unit ball. The exponent is not explicit.
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