Abstract
We show that an infinity harmonic function, that is, a viscosity solution of the nonlinear PDE -δ∞u = -uxiuxjuxixj = 0, is everywhere differentiable. Our new innovation is proving the uniqueness of appropriately rescaled blow-up limits around an arbitrary point. © 2011 The Author(s).
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CITATION STYLE
APA
Evans, L. C., & Smart, C. K. (2011). Everywhere differentiability of infinity harmonic functions. Calculus of Variations and Partial Differential Equations, 42(1), 289–299. https://doi.org/10.1007/s00526-010-0388-1
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