Cristiana De Filippis

activity

20172026

most citedLipschitz bounds and nonautonomous integrals

115 citations · 176 across the 17 of their papers we have counts for

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math.AP2018

On the regularity of the $ω$ -minima of $φ$ -functionals

Cristiana De Filippis

We focus on some regularity properties of $ω$ -minima of variational integrals with $φ$ -growth and we provide an upper bound on the Hausdorff dimension of their singular set.

math.AP2018

Regularity for multi-phase variational problems

Cristiana De Filippis, Jehan Oh

We prove $C^{1, ν}$ regularity for local minimizers of the \oh{multi-phase} energy: \begin{flalign*} w \mapsto \int_Ω\snr{Dw}^{p}+a(x)\snr{Dw}^{q}+b(x)\snr{Dw}^{s} \ dx, \end{flalig…

On the regularity of the ω-minima of φ-functionals

Regularity for multi-phase variational problems

On the regularity of the $ω$ -minima of $φ$ -functionals