Boundary regularity of mass-minimizing integral currents and a question of Almgren. Matrix Annals 2017. :193-205.
matrix_14.pdf (152.76 KB)
Errata-bordo-matrix.pdf (52 KB)
.
2018. 

On the boundary behavior of mass-minimizing integral currents. To appear in Memoirs of the American Mathematical Society.
borda_memoirs_3.pdf (1.24 MB)
Errata-bordo.pdf (51.68 KB)
.
0. 

Blowup of the BV norm in the multidimensional Keyfitz and Kranzer system.. Duke Mathematical Journal. 127:313–339.
KK_blowup.pdf (215.66 KB)
.
2005. .
2024. 
Area minimizing hypersurfaces modulo $p$: a geometric free-boundary problem.
Modp_odd_moduli.pdf (867.85 KB)
.
2021. 
Area minimizing currents mod $2Q$: linear regularity theory. Comm. Pure Appl. Math.. 75
DLHMS_linear_2.pdf (573.86 KB)
.
2022. .
0. 
Anomalous Dissipation for the forced Navier-Stokes equations. Comm. Math. Phys.. 400
anomalous-dissipation-arXiv-version.pdf (325.73 KB)
.
2023. 
Anomalous dissipation for 1/5-Hoelder Euler flows. Annals of Mathematics. Second Series. 128:127–172.
onefifth_75.pdf (631.1 KB)
Errata_onefifth.pdf (78.93 KB)
.
2015. 

Almost Schur Lemma. Calculus of Variations and Partial Differential Equations. 43:347–354.
almost_schur.pdf (375.96 KB)
.
2012. 
Almgren's Q-valued functions revisited. Proceedings of the International Congress of Mathematicians Hyderabad. :1–24.
icm2010_final_version.pdf (265.36 KB)
.
2010. 
Almgren's center manifold in a simple setting. Harmonic Analysis and Applications. IAS/Park City Mathematics Series. 27
PCMILectures_DeLellis_15.pdf (327.98 KB)
Errata_PCMI.pdf (26.04 KB)
.
2020. 

An Allard-type boundary regularity theorem for $2d$ minimizing currents at smooth curves with arbitrary multiplicity.
convex-boundary-1.pdf (972.75 KB)
.
2021. 
Allard's interior regularity theorem: an invitation to stationary varifolds. Nonlinear analysis in geometry and applied mathematics.. 2:23-49.
allard_40.pdf (382.92 KB)
Allard-errata.pdf (99.62 KB)
.
2018. 

On admissibility criteria for weak solutions of the Euler equations.. Archiv for Rational Mechanics and Analysis. 195:225–260.
EulerARMA.pdf (413.39 KB)
Errata-Euler-ARMA.pdf (50.02 KB)
.
2010. 

$2$-dimensional almost area minimizing currents. Boll. Unione Mat. Ital.. 9(1):3–67.
survey_BUMI_24.pdf (636.4 KB)
.
2016. 