Nonlinear p-Laplacian Comparison Theory

  • Markvorsen, Steen (Project Participant)
  • Holopainen, Ilkka (Project Participant)
  • Palmer, Vicente (Project Participant)

    Project Details


    We use drifted Brownian motion in tailor made warped product model spaces as comparison constructions to
    sudy $p$-hyperbolicity and $p$-parabolicity of a large class of submanifolds in ambient spaces with restricted
    curvature behaviour. It is expected that similar techniques will also give generalized isoperimetric inequalities as well as $p$-Laplace heat kernel estimates
    and mean exit time estimates for the corresponding nonlinear diffusion.
    Effective start/end date01/08/200401/08/2020


    • p-Laplace comparison theory