PDE och tillämpningar: Infinity-harmonic potentials in convex rings

  • Datum:
  • Plats: Ångströmlaboratoriet 64119
  • Föreläsare: Erik Lindgren, Uppsala
  • Kontaktperson: Erik Lindgren
  • Seminarium

Abstract: In this talk, I will discuss certain solutions of the Infinity-Laplace equation in planar convex rings. Focus will be on their streamlines. It turns out that their ascending streamlines are unique while the descending ones may bifurcate. I will explain why bifurcation occurs quite often and the connection to regularity issues. Finally, I will discuss the solution in a punctured square more in detail. The talk is based on joint work with Peter Lindqvist (NTNU, Trondheim).