Abstract.
A continuous function 
is said to be “infinity harmonic” if it satisfies the PDE
in the viscosity sense. In this paper we prove that infinity harmonic functions are continuously differentiable when n=2.
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Communicated by L.C. Evans
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Savin, O. C1 Regularity for Infinity Harmonic Functions in Two Dimensions. Arch. Rational Mech. Anal. 176, 351–361 (2005). https://doi.org/10.1007/s00205-005-0355-8
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DOI: https://doi.org/10.1007/s00205-005-0355-8