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

Thomas Bieske

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arXiv · 1509.01974

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

Thomas Bieske

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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.

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Thomas Bieske. 2015-09-07. The $\infty(x)$-equation in Riemannian Vector Fields. https://arxiv.org/abs/1509.01974

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