426 citations · 470 across the 24 of their papers we have counts for
29 papers · 1 filter
Regularity of Supersolutions
Peter Lindqvist
The regularity for the supersolutions of the Evolutionary p-Laplace Equation is considered. In particular,the equivalence of viscosity supersolutions and p-supercaloric functions (…
On the uniqueness of eigenfunctions for the vectorial -Laplacian
Ryan Hynd, Bernd Kawohl, Peter Lindqvist
We study a non-linear eigenvalue problem for vector-valued eigenfunctions and give a succinct uniqueness proof for minimizers of the associated Rayleigh quotient.
The Infinity-Laplacian in Smooth Convex Domains and in a Square
Karl K. Brustad, Erik Lindgren, Peter Lindqvist
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…
On -Ground States in the Plane
Erik Lindgren, Peter Lindqvist
We study -Ground states in convex domains in the plane. In a polygon, the points where an -Ground state does not satisfy the -Laplace Equation are character…
The Gradient Flow of Infinity-Harmonic Potentials
Erik Lindgren, Peter Lindqvist
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 cer…
On a comparison principle for Trudinger's equation
Erik Lindgren, Peter Lindqvist
We study the comparison principle for non-negative solutions of the equation $$ \frac{\partial\,(|v|^{p-2}v)}{\partial t}\,=\, \textrm{div} (|\nabla v|^{p-2}\nabla v), \quad 1<p<\i…