168 citations · 552 across the 23 of their papers we have counts for
3 papers · 2 filters
On the regularity of minima of non-autonomous functionals
Cristiana De Filippis, Giuseppe Mingione
We consider regularity issues for minima of non-autonomous functionals in the Calculus of Variations exhibiting non-uniform ellipticity features. We provide a few sharp regularity…
Manifold constrained non-uniformly elliptic problems
Cristiana De Filippis, Giuseppe Mingione
We consider the problem of minimizing variational integrals defined on \cc{nonlinear} Sobolev spaces of competitors taking values into the sphere. The main novelty is that the unde…
A borderline case of Calderón-Zygmund estimates for non-uniformly elliptic problems
Cristiana De Filippis, Giuseppe Mingione
We show, in a borderline case which was not covered before, the validity of nonlinear Calderón-Zygmund estimates for a class of non-uniformly elliptic problems driven by double pha…