Infinity-harmonic potentials and their streamlines (Q2000182)

The authors discuss properties of the solution \(V_\infty\) of the Infinity-Laplace equation in convex rings in the plane. For example, the uniqueness of the ascending streamlines is proved. The existence of Cl-points, i.e., the first points at which two streamlines meet, is analyzed. Estimates of the gradient of the solution \(V_\infty\) are given. Especially, properties of the streamlines in a square are analyzed.