3 citations · 4 across the 7 of their papers we have counts for
7 papers · 1 filter
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…
The Time Derivative in a Singular Parabolic Equation
Peter Lindqvist
We study the Evolutionary p-Laplace Equation in the singular case 1 < p < 2. We prove that a weak solution has a time derivative in Sobolev's sense and that the time derivative is…
Notes on the Infinity-Laplace Equation
Peter Lindqvist
These notes are written up after my lectures at the University of Pittsburgh in March 2014 and at Tsinghua University in May 2014. My objective is the -Laplace Equation, a…
On the Mean Value Property for the p-Laplace equation in the plane
Peter Lindqvist, Juan Manfredi
We study the p-Laplace equation in the plane and prove that the mean value property holds directly for the solutions themselves. This removes the need to interpret the formula in t…
Shadows of infinities
Tuomo Kuusi, Peter Lindqvist, Mikko Parviainen
We study unbounded "supersolutions" of the Evolutionary -Laplace equation with slow diffusion. They are the same functions as the viscosity supersolutions. A fascinating dichoto…