A Curious Equation Involving the Infinity-Laplacian

Abstract

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.

11 pages

Cited by in corpus (2)

• Minimization of quotients with variable exponents
• Discontinuous gradient constraints and the infinity Laplacian