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arXiv:1509.01969 [math.AP]AbstractReferencesReviewsResources

The $\infty(x)$-equation in Grushin-type Spaces

Thomas Bieske

Published 2015-09-07Version 1

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

Categories: math.AP, math.DG, math.MG, math.OC
Subjects: 35H20, 53C17, 49L25, 17B70
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