Existence and uniqueness of viscosity solutions to the infinity Laplacian relative to a class of Grushin-type vector fields

DOI10.33205/cma.1245581OpenAlexW4367675154MaRDI QIDQ6062357

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Publication date: 30 November 2023

Published in: Constructive Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.33205/cma.1245581

zbMATH Keywords

viscosity solutionGrushin-type spacesinfinite-Laplace equation

Mathematics Subject Classification ID

Graded Lie (super)algebras (17B70) Nilpotent and solvable Lie groups (22E25) Sub-Riemannian geometry (53C17) Subelliptic equations (35H20) Viscosity solutions to PDEs (35D40) Elliptic equations with infinity-Laplacian (35J94)

Cites Work

• Lipschitz extensions on generalized Grushin spaces
• Uniqueness of Lipschitz extensions: Minimizing the sup norm of the gradient
• A sub-Riemannian maximum principle and its application to the p-Laplacian in Carnot groups
• User’s guide to viscosity solutions of second order partial differential equations
• ON ∞-HARMONIC FUNCTIONS ON THE HEISENBERG GROUP
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