4 papers
Stability for the Infinity-Laplace Equation with variable exponent
Erik Lindgren, Peter Lindqvist
The stability for the viscosity solutions of a differential equation with a perturbation term added to the Infinity-Laplace Operator is studied. This is the so-called Infinity-Lapl…
Irregular Time Dependent Obstacles
Peter Lindqvist, Mikko Parviainen
We study the obstacle problem for the Evolutionary p-Laplace Equation when the obstacle is discontinuous and without regularity in the time variable. Two quite different procedures…
Hardy's Inequality from a Logarithmic Caccioppoli Estimate
Peter Lindqvist, Juan Manfredi
We give a simple proof of Hardy's inequality, based on the logarithmic Caccioppoli estimate for p-superharmonic functions in several variables.
Molecular Dynamics Simulations of Lipid Bilayers: Major Artifacts due to Truncating Electrostatic Interactions
M. Patra, M. Karttunen, M. Hyvonen +3
We study the influence of truncating the electrostatic interactions in a fully hydrated pure dipalmitoylphosphatidylcholine (DPPC) bilayer through 20 ns molecular dynamics simulati…