Remark: Family 377. Interior C (1,α) regularity for infinity-harmonic functions

Proves uniform interior $C^{1,{\alpha }_d}$ regularity for bounded infinity-harmonic functions in every dimension $d\ge 3$, 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.

The authors are OpenAI. This companion does not verify the proof. The claim is not a theorem of the Enter series and not a premise of any registered sheet. It does not close O.1. O.1 stays NOT_CLOSED. It is not a de Sitter state and not the QdS external-leg scheme. No quantum coefficient is admitted. No compilation is asserted.