359 citations · 1k across the 39 of their papers we have counts for
6 papers · 1 filter
Systems of partial differential equations in porous medium
Tuomo Kuusi, Léonard Monsaingeon, Juha Videman
We investigate systems of degenerate parabolic equations idealizing reactive solute transport in porous media. Taking advantage of the inherent structure of the system that allows…
Borderline gradient continuity of minima
Paolo Baroni, Tuomo Kuusi, Giuseppe Mingione
The gradient of any local minimiser of functionals of the type where has -growth, , and , is con…
Nonlocal equations with measure data
Tuomo Kuusi, Giuseppe Mingione, Yannick Sire
We develop an existence, regularity and potential theory for nonlinear integrodifferential equations involving measure data. The nonlocal elliptic operators considered are possibly…
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…
Nonlocal Harnack inequalities
Agnese Di Castro, Tuomo Kuusi, Giampiero Palatucci
We state and prove a general Harnack inequality for minimizers of nonlocal, possibly degenerate, integro-differential operators, whose model is the fractional p-Laplacian.
A quantitative modulus of continuity for the two-phase Stefan problem
Paolo Baroni, Tuomo Kuusi, José Miguel Urbano
We derive the quantitative modulus of continuity which we conjecture to be optimal, for solutions of the …