Abstract
The graph of the function \(C(x) = a + b|x-x_0|\) is a half cone and \(C =C(x)\) is a viscosity solution of the \(\infty \)-Laplace Equation, when \(x\not =x_0\).
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Notes
- 1.
The general case is in Chap. 8.
- 2.
For radial functions \(\Delta _{\infty }R(r) = R'(r)^2R''(r),\,\, r =|x-x_0|\).
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Lindqvist, P. (2016). Comparison with Cones. In: Notes on the Infinity Laplace Equation. SpringerBriefs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-31532-4_6
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DOI: https://doi.org/10.1007/978-3-319-31532-4_6
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