Status:
Personal website:
+44 7407 120753
Research groups:
Address
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
Recent Publications:
Manifold Constrained Non-uniformly Elliptic Problems
The Journal of Geometric Analysis
(20 September 2019)
Removable sets in non-uniformly elliptic problems
Annali di Matematica Pura ed Applicata (1923 -)
(6 September 2019)
Regularity results for a class of non-autonomous obstacle problems with (p,q)-growth
Journal of Mathematical Analysis and Applications
page 123450-123450
(August 2019)
On the Regularity of Minima of Non-autonomous Functionals
The Journal of Geometric Analysis
(8 July 2019)
Regularity for multi-phase variational problems
Journal of Differential Equations
issue 3
volume 267
page 1631-1670
(July 2019)
Hölder regularity for nonlocal double phase equations
Journal of Differential Equations
issue 1
volume 267
page 547-586
(June 2019)
Partial regularity for manifold constrained p(x)-harmonic maps
Calculus of Variations and Partial Differential Equations
issue 2
volume 58
(12 April 2019)
On the regularity of the ω-minima of φ-functionals
Nonlinear Analysis
page 111464-111464
(March 2019)
Higher integrability for constrained minimizers of integral functionals with (p,q)-growth in low dimension
Nonlinear Analysis
volume 170
page 1-20
(May 2018)
The initial–boundary value problem for general non-local scalar conservation laws in one space dimension
Nonlinear Analysis
volume 161
page 131-156
(September 2017)
Research interests:
- Calculus of Variations
- Regularity Theory
Teaching:
Perturbation Methods (C5.5), TA
Nonlinear Analysis (CDT), TA
Prizes, awards, and scholarships:
G-Research PhD Prize (February 2019)
Santander Travel Awards, Pembroke College (3/3/2017)
EPSRC Studentship (2016 - 2020)
Major / recent publications:
C. De Filippis, Regularity for solutions of fully nonlinear elliptic equations with non-homogeneous degeneracy. Proc. Royal Soc. Edinburgh Math. (2020), to appear. https://arxiv.org/abs/1906.06125
C. De Filippis, G. Mingione, A borderline case of Calderón-Zygmund estimates for non-uniformly elliptic problems, St. Petersburg Mathematical Journal, to appear. https://arxiv.org/pdf/1901.05603.pdf