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math.AP2015
The -equation in Riemannian Vector Fields
Thomas Bieske
We employ Riemannian jets which are adapted to the Riemannian geometry to obtain the existence-uniqueness of viscosity solutions to the -Laplace equation in Riemannian v…
math.AP2015
The -equation in Grushin-type Spaces
Thomas Bieske
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 Gru…
math.AP2015
The Parabolic Infinite-Laplace Equation in Carnot groups
Thomas Bieske, Erin Martin
By employing a Carnot parabolic maximum principle, we show existence-uniqueness of viscosity solutions to a class of equations modeled on the parabolic infinite Laplace equation in…