The infinity Laplacian is the nonlinear second-order operator
This is the unnormalized convention, with no division by . An affine function
has zero infinity Laplacian. Classical solutions of are called infinity-harmonic
functions, and the viscosity-solution definition extends the equation to continuous
functions.
. An affine function
has zero infinity Laplacian. Classical solutions of 
are called infinity-harmonic
functions, and the viscosity-solution definition extends the equation to continuous
functions.
