The asymptotic $p$-Poisson equation as $p \to \infty$ in Carnot-Carathéodory spaces

Subelliptic equations (35H20) Viscosity solutions to PDEs (35D40) Quasilinear elliptic equations with (p)-Laplacian (35J92) Elliptic equations with infinity-Laplacian (35J94)

Cites Work

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Lipschitz extensions on generalized Grushin spaces
Nonlinear potential theory on metric spaces
Uniqueness of Lipschitz extensions: Minimizing the sup norm of the gradient
Aronsson's equations on Carnot-Carathéodory spaces
Properties of infinite harmonic functions on Grushin-type spaces
Functional analysis, Sobolev spaces and partial differential equations
Balls and metrics defined by vector fields. I: Basic properties
Construction of singular solutions to the p-harmonic equation and its limit equation for $p=\infty$
Carnot-Carathéodory metrics and quasiisometries of symmetric spaces of rank 1
Lipschitz continuity, global smooth approximations and extension theorems for Sobolev functions in Carnot-Carathéodory spaces
The Dirichlet problem for the Kohn Laplacian on the Heisenberg group. I
Hypoelliptic differential operators and nilpotent groups
An efficient derivation of the Aronsson equation
The Poincaré inequality for vector fields satisfying Hörmander's condition
The differential of a quasi-conformal mapping of a Carnot-Carathéodory space
Equivalence of solutions of eikonal equation in metric spaces
On viscosity and weak solutions for non-homogeneous $p$-Laplace equations
Existence and uniqueness of $\infty $-harmonic functions under assumption of $\infty $-Poincaré inequality
Extension of functions satisfying Lipschitz conditions
On the partial differential equation $u_ x^ 2 u_{xx} +2u_ x u_ y u_{xy} +u_ y^ 2 u_{yy} = 0$
A sub-Riemannian maximum principle and its application to the $p$-Laplacian in Carnot groups
The Aronsson equation for absolute minimizers of $\{L^\infty \}$-functionals associated with vector fields satisfying Hörmander’s condition
Derivation of the Aronsson equation for $C^1$ Hamiltonians
User’s guide to viscosity solutions of second order partial differential equations
An embedding theorem and the harnack inequality for nonlinear subelliptic equations
ON ∞-HARMONIC FUNCTIONS ON THE HEISENBERG GROUP
Notes on the Stationary p-Laplace Equation
Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
A tour of the theory of absolutely minimizing functions
The Aronsson-Euler equation for absolutely minimizing Lipschitz extensions with respect to Carnot-Carathéodory metrics
Weak Fubini property and infinity harmonic functions in Riemannian and sub-Riemannian manifolds
$\Gamma$-Convergence for Functionals Depending on Vector Fields. II. Convergence of Minimizers
Sobolev Spaces on Metric Measure Spaces
Equivalence of AMLE, strong AMLE, and comparison with cones in metric measure spaces
Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations
The Euler equation and absolute minimizers of $L^\infty$ functionals
The Aronsson equation for absolute minimizers of supremal functionals in Carnot–Carathéodory spaces

The asymptotic \(p\)-Poisson equation as \(p \to \infty\) in Carnot-Carathéodory spaces