Rosset, Edi

A lower bound for the gradient of $\infty$-harmonic functions

Electron. J. Differ. Equ. 1996(2), Paper 2, 6 p. (1996)


Summary: We establish a lower bound for the gradient of the solution to infinity-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.

Mathematics Subject Classification

35J70, 35B05, 35B50, 31C45


infinity-harmonic functions, p-harmonic functions