2 citations · 2 across the 3 of their papers we have counts for
4 papers
Intrinsic Schauder estimates at nearly linear growth
Cristiana De Filippis, Filomena De Filippis, Peter Hästö
We develop a nonlinear potential theoretic framework for Schauder estimates for vector-valued solutions of a broad class of nonautonomous variational problems at nearly linear grow…
Bounded minimizers of double phase problems at nearly linear growth
Cristiana De Filippis, Filomena De Filippis, Mirco Piccinini
Bounded minimizers of double phase problems at nearly linear growth have locally Hölder continuous gradient within the sharp maximal nonuniformity range .
Regularity for multi-phase problems at nearly linear growth
Filomena De Filippis, Mirco Piccinini
Minima of the log-multiphase variational integral have locally Hölder continuous gradi…
Absence and presence of Lavrentiev's phenomenon for double phase functionals upon every choice of exponents
Michał Borowski, Iwona Chlebicka, Filomena De Filippis +1
We study classes of weights ensuring the absence and presence of the Lavrentiev's phenomenon for double phase functionals upon every choice of exponents. We introduce a new sharp s…