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math.AP2021
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.
math.AP2021
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.