359 citations · 1k across the 39 of their papers we have counts for
5 papers · 1 filter
Boundary behavior of solutions to the parabolic p-Laplace equation
Benny Avelin, Kaj Nyström, Tuomo Kuusi
We establish boundary estimates for non-negative solutions to the p-parabolic equation in the degenerate range . Our main results include new parabolic intrinsic Harnack chain…
Pointwise Calderón-Zygmund gradient estimates for the -Laplace system
Dominic Breit, Andrea Cianchi, Lars Diening +2
Pointwise estimates for the gradient of solutions to the -Laplace system with right-hand side in divergence form are established. They enable us to develop a nonlinear counterpa…
Bounded correctors in almost periodic homogenization
Scott Armstrong, Antoine Gloria, Tuomo Kuusi
We show that certain linear elliptic equations (and systems) in divergence form with almost periodic coefficients have bounded, almost periodic correctors. This is proved under a n…
Mesoscopic higher regularity and subadditivity in elliptic homogenization
Scott Armstrong, Tuomo Kuusi, Jean-Christophe Mourrat
We introduce a new method for obtaining quantitative results in stochastic homogenization for linear elliptic equations in divergence form. Unlike previous works on the topic, our…
Local behavior of fractional -minimizers
Agnese Di Castro, Tuomo Kuusi, Giampiero Palatucci
We extend the De Giorgi-Nash-Moser theory to nonlocal, possibly degenerate integro-differential operators.