On the regularity of solutions of the inhomogeneous infinity Laplace equation
Erik Lindgren · Proceedings of the American Mathematical Society · 2013
We study the inhomogeneous infinity Laplace equation and prove that for bounded and continuous inhomogeneities, any blow-up is linear but not necessarily unique. If, in addition, the inhomogeneity is assumed to be $C^1$, then we prove that any solution is differentiable, i.e., that any blow-up is unique.