TITLE

# Everywhere differentiability of infinity harmonic functions

AUTHOR(S)
Evans, Lawrence; Smart, Charles
PUB. DATE
September 2011
SOURCE
Calculus of Variations & Partial Differential Equations;Sep2011, Vol. 42 Issue 1/2, p289
SOURCE TYPE
DOC. TYPE
Article
ABSTRACT
We show that an infinity harmonic function, that is, a viscosity solution of the nonlinear PDE $${- \Delta_\infty u = -u_{x_i}u_{x_j}u_{x_ix_j} = 0}$$, is everywhere differentiable. Our new innovation is proving the uniqueness of appropriately rescaled blow-up limits around an arbitrary point.
ACCESSION #
62869038

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