Electronic Journal of Differential Equations,
Vol. 1996(1996), No. 02, pp 1--9.

Title: A Lower Bound for the Gradient of $\infty$-Harmonic Functions

Authors: Edi Rosset (Univ. degli di Trieste, Italy)

Abstract: We establish a lower bound for the gradient of the solution
 to $\infty$-Laplace equation in a strongly star-shaped annulus with 
 capacity type  boundary conditions. The proof involves properties 
 of the radial derivative of the solution,  so that starshapedness
 of level sets easily follows.

Submitted November 20, 1995. Published February 6, 1996.
Math Subject Classification: 35J70, 35B05, 35B50,31C45.
Key Words: $\infty$-harmonic functions; $p$-harmonic functions.