Properties of infinite harmonic functions on Grushin-type spaces
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Publication:1024965
DOI10.1216/RMJ-2009-39-3-729zbMath1172.35366MaRDI QIDQ1024965
Publication date: 18 June 2009
Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)
Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Sub-Riemannian geometry (53C17) Subelliptic equations (35H20)
Related Items (4)
On the \(\infty \)-Laplacian on Carnot groups ⋮ The \(\infty \)-capacity and Faber-Krahn inequality on Grushin spaces ⋮ The Aronsson equation, Lyapunov functions, and local Lipschitz regularity of the minimum time function ⋮ The Carnot-Carathéodory distance and the infinite Laplacian
Cites Work
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- Convex functions on the Heisenberg group
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- The Aronsson equation for absolute minimizers of $\{L^\infty \}$-functionals associated with vector fields satisfying Hörmander’s condition
- User’s guide to viscosity solutions of second order partial differential equations
- ON ∞-HARMONIC FUNCTIONS ON THE HEISENBERG GROUP
- The geometry on a step 3 Grushin model
- A tour of the theory of absolutely minimizing functions
- The Aronsson-Euler equation for absolutely minimizing Lipschitz extensions with respect to Carnot-Carathéodory metrics
- Optimal Lipschitz extensions and the infinity Laplacian
- Surface measures in Carnot-Carathéodory spaces
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