426 citations · 470 across the 24 of their papers we have counts for
4 papers · 2 filters
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…
Perron's method for the porous medium equation
Juha Kinnunen, Peter Lindqvist, Teemu Lukkari
This work extends Perron's method for the porous medium equation in the slow diffusion case. The main result shows that nonnegative continuous boundary functions are resolutive in…