caa a22 4500 445843799 CHVBK 20180317145352.0 cr unu---uuuuu 170323e20110901xx s 000 0 eng 10.1007/s00526-010-0388-1 doi (NATIONALLICENCE)springer-10.1007/s00526-010-0388-1 Everywhere differentiability of infinity harmonic functions [Elektronische Daten] [Lawrence Evans, Charles Smart] 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. The Author(s), 2011 Evans Lawrence Department of Mathematics, University of California, Berkeley, CA, USA aut Smart Charles Department of Mathematics, University of California, Berkeley, CA, USA aut Calculus of Variations and Partial Differential Equations Springer-Verlag 42/1-2(2011-09-01), 289-299 0944-2669 42:1-2<289 2011 42 526 https://doi.org/10.1007/s00526-010-0388-1 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00526-010-0388-1 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Evans Lawrence Department of Mathematics, University of California, Berkeley, CA, USA aut NATIONALLICENCE 700 1- Smart Charles Department of Mathematics, University of California, Berkeley, CA, USA aut NATIONALLICENCE 773 0- Calculus of Variations and Partial Differential Equations Springer-Verlag 42/1-2(2011-09-01), 289-299 0944-2669 42:1-2<289 2011 42 526 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer