3 citations · 5 across the 7 of their papers we have counts for
12 papers
-ellipticity and nonautonomous integrals
Cristiana De Filippis
-ellipticity is a form of nonuniform ellipticity arising in various contexts from the calculus of variations. Understanding regularity properties of minimizers in the nonautonom…
Nonuniform ellipticity in variational problems and regularity
Cristiana De Filippis, Giuseppe Mingione
We provide a brief outlook on recent developments in regularity theory for nonuniformly elliptic problems, with special emphasis on those of variational nature.
Nonuniformly elliptic Schauder theory
Cristiana De Filippis, Giuseppe Mingione
Local Schauder estimates hold in the nonuniformly elliptic setting. Specifically, first derivatives of solutions to nonuniformly elliptic variational problems and elliptic equation…
Optimal gradient estimates for multi-phase integrals
Cristiana De Filippis
We prove sharp reverse Hölder inequalities for minima of multi-phase variational integrals and apply them to Calderón-Zygmund estimates for nonhomogeneous problems.
Fully nonlinear free transmission problems with nonhomogeneous degeneracies
Cristiana De Filippis
We prove existence and regularity results for free transmission problems governed by fully nonlinear elliptic equations with nonhomogeneous degeneracies.
Gradient bounds for solutions to irregular parabolic equations with -growth
Cristiana De Filippis
We provide quantitative gradient bounds for solutions to certain parabolic equations with unbalanced polynomial growth and non-smooth coefficients.
Uniform ellipticity and - growth
Cristiana De Filippis, Francesco Leonetti
Fix any two numbers and , with ; we give an example of an integral functional enjoying uniform ellipticity and - growth.
Regularity for solutions of fully nonlinear elliptic equations with non-homogeneous degeneracy
Cristiana De Filippis
We prove that viscosity solutions to fully nonlinear elliptic equations with degeneracy of double phase type are locally -regular.
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…
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…
Removable sets in non-uniformly elliptic problems
Iwona Chlebicka, Cristiana De Filippis
We analyze fine properties of solutions to quasilinear elliptic equations with double phase structure and characterize, in the terms of intrinsic Hausdorff measures, the removable…
Partial regularity for manifold constrained p(x)-harmonic maps
Cristiana De Filippis
We prove that manifold constrained -harmonic maps are -regular outside a set of zero -dimensional Lebesgue's measure, for some . We also provide an es…