Blar i NTNU Open på forfatter "Lindgren, Erik Kristian"

Viser treff 1-3 av 3

    • The gradient flow of infinity-harmonic potentials 

      Lindqvist, Peter; Lindgren, Erik Kristian (Peer reviewed; Journal article, 2021)
      We study the streamlines of ∞-harmonic functions in planar convex rings. We include convex polygons. The points where streamlines can meet are characterized: they lie on certain curves. The gradient has constant norm along ...

    • The infinity-Laplacian in smooth convex domains and in a square 

      Brustad, Karl Kristian; Lindgren, Erik Kristian; Lindqvist, Peter (Peer reviewed; Journal article, 2023)
      We extend some theorems for the infinity-ground state and for the infinity-potential, known for convex polygons, to other domains in the plane, by applying Alexandroff's method to the curved boundary. A recent explicit ...

    • Regularity of the p-Poissson Equation in the Plane 

      Lindqvist, Peter; Lindgren, Erik Kristian (Journal article; Peer reviewed, 2017)
      We study the regularity of the p-Poisson equation Δpu=h,h∈Lq, Δpu=h,h∈Lq, in the plane. In the case p > 2 and 2 < q < ∞, we obtain the sharp Hölder exponent for the gradient. In the other cases, we come arbitrarily close ...