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Existence and uniqueness of viscosity solutions to the infinity Laplacian relative to a class of Grushin-type vector fields
In this paper we pose the $\infty$-Laplace Equation as a Dirichlet Problem in a class of Grushin-type spaces whose vector fields are of the form \begin{equation*} X_k(p):=\sigma_k(p)\frac{\partial}{\partial x_k} \end{equation*} and $\sigma_k$ is not a polynomial for indices $m+1 \leq k \leq n$. Solutions to the $\infty$-Laplacian in the viscosity sense …