115 citations · 176 across the 17 of their papers we have counts for
5 papers · 2 filters
Light rays of Lorentzian graphs and the Born-Infeld model
Cristiana De Filippis, Giuseppe Mingione
Following a program outlined by Bartnik, and also employing nonlinear potential techniques we developed in the last years, we study lightlike singularities of variational solutions…
The Singular Set of Minima of Multiple Integrals
Cristiana De Filippis, Jan Kristensen, Giuseppe Mingione +1
The Hausdorff dimension of the singular set of local minimizers of quasiconvex integrals is strictly less than the ambient dimension.
Necessity of Ladyzhenskaya \& Ural'tseva's sufficient conditions in nonuniform ellipticity
Cristiana De Filippis
The sufficient conditions of Ladyzhenskaya \& Ural'tseva \cite{lu70} for interior gradient estimates in nonuniformly elliptic problems are found to be also necessary. Specifically,…
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…
Partial regularity in nonlocal systems II
Cristiana De Filippis, Giuseppe Mingione, Simon Nowak
Solutions to nonlinear nonlocal systems of order in are , for every , outside a closed singular set whose Hausdorff dimension is less than $n…