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
Academic Journal
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

 

Related Articles

Share

Read the Article

Courtesy of THE LIBRARY OF VIRGINIA

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics