The $\infty(x)$-equation in Grushin-type Spaces
Analysis of PDEs
2015-09-08 v1 Differential Geometry
Metric Geometry
Optimization and Control
Abstract
We employ Grushin jets which are adapted to the geometry of Grushin-type spaces to obtain the existence-uniqueness of viscosity solutions to the -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.
Cite
@article{arxiv.1509.01969,
title = {The $\infty(x)$-equation in Grushin-type Spaces},
author = {Thomas Bieske},
journal= {arXiv preprint arXiv:1509.01969},
year = {2015}
}