2 citations · 2 across the 3 of their papers we have counts for
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Global higher integrability for parabolic quasiminimizers in metric spaces
Mathias Masson, Mikko Parviainen
We prove higher integrability up to the boundary for minimal p-weak upper gradients of parabolic quasiminimizers in metric measure spaces, related to the heat equation. We assume t…
Local higher integrability for parabolic quasiminimizers in metric spaces
Mathias Masson, Michele Miranda, Fabio Paronetto +1
Using variational methods, we prove local higher integrability for the minimal p-weak upper gradients of parabolic quasiminimizers in metric measure spaces. We assume the measure t…
On the existence and uniqueness of p-harmonious functions
Hannes Luiro, Mikko Parviainen, Eero Saksman
We give a self-contained and short proof for the existence, uniqueness and measurability of so called -harmonious functions. The proofs only use elementary analytic tools. As a…
Local approximation of superharmonic and superparabolic functions in nonlinear potential theory
Juha Kinnunen, Teemu Lukkari, Mikko Parviainen
We prove that arbitrary superharmonic functions and superparabolic functions related to the -Laplace and the -parabolic equations are locally obtained as limits of supersolut…
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…