1 citations · 2 across the 6 of their papers we have counts for
6 papers
Quantitative homogenization for the obstacle problem and its free boundary
Gohar Aleksanyan, Tuomo Kuusi
In this manuscript we prove quantitative homogenization results for the obstacle problem with bounded measurable coefficients. As a consequence, large-scale regularity results both…
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…
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.
Borderline estimates for fully nonlinear elliptic equations
Panagiota Daskalopoulos, Tuomo Kuusi, Giuseppe Mingione
We prove new borderline regularity results for solutions to fully nonlinear elliptic equations together with pointwise gradient potential estimates.