A curious equation involving the ∞-Laplacian

Peter Lindqvist, Teemu Lukkari
2010 Advances in Calculus of Variations  
We prove the uniqueness for viscosity solutions of a differential equation involving the infinity-Laplacian with a variable exponent. A version of the Harnack's inequality is derived for this minimax problem.
doi:10.1515/acv.2010.017 fatcat:mk3ktr3z45eehikpwuetawkema