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arXiv:1509.01974 [math.AP]AbstractReferencesReviewsResources

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

Thomas Bieske

Published 2015-09-07Version 1

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.

Comments: arXiv admin note: text overlap with arXiv:1509.01969
Journal: Electronic Journal of Differential Equations Vol. 2015 (2015), No. 164, pp. 1-9
Categories: math.AP, math.DG, math.MG, math.OC
Subjects: 35H20, 53C17, 49L25, 31B05, 31C12
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