Erik Lindgren: Infinity-Harmonic Potentials in Convex Rings

Erik Lindgren: Infinity-Harmonic Potentials in Convex Rings

Explore the intricacies of Infinity-Laplace equation solutions in planar convex rings through this 58-minute lecture from the Hausdorff Trimester Program on Evolution of Interfaces. Delve into the behavior of streamlines, discovering the uniqueness of ascending streamlines and the potential bifurcation of descending ones. Examine the reasons behind bifurcation occurrences and their relationship to regularity issues. Gain insights into the solution for a punctured square as a specific case study. Enhance your understanding of infinity-harmonic potentials and their applications in convex ring geometries.