This BCAM SpringerBriefs is a treaty of the Infinity-Laplace
Equation, which has inherited many features from the ordinary
Laplace Equation, and is based on lectures by the author. The
Infinity-Laplace Equation has delightful counterparts to the
Dirichlet integral, the mean value property, the Brownian motion,
Harnack's inequality, and so on. This "fully non-linear" equation
has applications to image processing and to mass transfer problems,
and it provides optimal Lipschitz extensions of boundary values.
General
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