Personal website:
+44 7407 120753
Research groups:
Address
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
Research interests:
- Calculus of Variations
- Regularity Theory
Teaching:
Perturbation Methods (C5.5), TA
Nonlinear Analysis (CDT), TA
Prizes, awards, and scholarships:
Santander Travel Awards, Pembroke College (3/3/2017)
EPSRC Studentship (2016 - 2020)
Major / recent publications:
C. De Filippis, Partial regularity for manifold constrained p(x)-harmonic maps, Calc. Var. & PDEs, to appear.
C. De Filippis, G. Palatucci, Hölder regularity for nonlocal double phase equations, Journal of Differential Equations. https://doi.org/10.1016/j.jde.2019.01.017
C. De Filippis, G. Mingione, A borderline case of Calderón-Zygmund estimates for non-uniformly elliptic problems, St. Petersburg Mathematical Journal, to appear.
C. De Filippis, Higher Integrability for Constrained Minimizers of Integral Functionals with (p,q)-Growth in low dimension, Nonlinear Anal. 170 (2018), 1-20. https://doi.org/10.1016/j.na.2017.12.007
C. De Filippis, P. Goatin, The initial-boundary value problem for general non-local scalar conservation laws in one space dimension, Nonlinear Anal. 161 (2017), 131-156. http://dx.doi.org/10.1016/j.na.2017.05.017