3 citations · 4 across the 4 of their papers we have counts for
10 papers
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.