The $\infty (x)$-equation in Riemannian Vector Fields

Abstract

We employ Riemannian jets which are adapted to the Riemannian geometry to obtain the existence-uniqueness of viscosity solutions to the $\infty (x)$-Laplace equation in Riemannian vector fields. Due to the differences between Euclidean jets and Riemannian jets, the Euclidean method of proof is not valid in this environment.

arXiv commentarXiv admin note: text overlap with arXiv:1509.01969