4 papers
Hölder continuity for the -Laplace equation using a differential inequality
Fredrik Arbo Høeg
We study Hölder continuity for solutions of the -Laplace equation. This is established through a method involving an ordinary differential inequality, in contrast to the classic…
A control problem related to the parabolic dominative -Laplace equation
Fredrik Arbo Høeg, Eero Ruosteenoja
We show that value functions of a certain time-dependent control problem in , with a continuous payoff on the parabolic boundary, converge uniformly to the visco…
Concave power solutions of the Dominative -Laplace equation
Fredrik Arbo Høeg
In this paper, we study properties of solutions of the Dominative -Laplace equation with homogeneous Dirichlet boundary conditions in a bounded convex domain . For the equati…
Regularity of Solutions of the Parabolic Normalized p-Laplace Equation
Fredrik Arbo Høeg, Peter Lindqvist
The parabolic normalized p-Laplace equation is studied. We prove that a viscosity solution has a time derivative in the sense of Sobolev belonging locally to .