$2$-dimensional almost area minimizing currents. Boll. Unione Mat. Ital.. 9(1):3–67.
survey_BUMI_24.pdf (636.4 KB)
.
2016. 
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 (32.46 KB)
.
2010. 

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)
.
2018. 
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. 

Almgren's Q-valued functions revisited. Proceedings of the International Congress of Mathematicians Hyderabad. :1–24.
icm2010_final_version.pdf (265.36 KB)
.
2010. 
Almost Schur Lemma. Calculus of Variations and Partial Differential Equations. 43:347–354.
almost_schur.pdf (375.96 KB)
.
2012. 
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. .
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. 
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)
.
0. 
Boundary regularity of mass-minimizing integral currents and a question of Almgren. Matrix Annals 2017. :193-205.
matrix_14.pdf (152.76 KB)
.
2018. 
$C^{1,\alpha}$ isometric embeddings of polar caps. Adv. Math. 363
Isometric_Embeddings_of_Polar_Caps_2.pdf (400.92 KB)
.
2020. 
A $C^0$ estimate for nearly umbilical surfaces.. Calculus of Variations and Partial Differential Equations. 26:283–296.
UmbC0.pdf (319.23 KB)
Errata-umbilical-2.pdf (95.55 KB)
.
2006. 

Center manifold: a case study. Discrete and Continuous Dynamical Systems - Series A. 31:1249–1272.
DeLellis_Spadaro.pdf (482.25 KB)
Errata_CM_Case_study.pdf (103.47 KB)
.
2011. 

The chain rule for the divergence of BV-like vector fields.. Hyperbolic Problems: Theory Numerics and Applications -I-. :105–112.
ProcHyp04.PDF (312.52 KB)
.
2006. 
On the chain rule for the divergence of BV-like vector fields: applications, partial results, open problems.. Perspectives in nonlinear partial differential equations. 446:31–67.
chain100.pdf (364.46 KB)
.
2007. 
Continuous dissipative Euler flows and a conjecture of Onsager.. European Congress of Mathematics.
de_lellis_proc_ECM_4.pdf (382.6 KB)
Errata_proc_ECM.pdf (36.71 KB)
.
2013. 

Density lower bound estimates for local minimizers of the 2d Mumford-Shah energy. Manuscripta Mathematica. 42:215–232.
MS_DLB15.pdf (341.6 KB)
.
2013. 
A direct approach to Plateau's problem. Journal of the European Mathematical Society. 19:2219–2240.
plateau25.pdf (336.69 KB)
.
2017. 
A direct approach to the anisotropic Plateau problem. Adv. Calc. Var.. 12(2):211-223.
DeLDeRGhi_15apr17.pdf (316.98 KB)
.
2019. 
Dissipative continuous Euler flows. Inventiones Mathematicae. 193:377–407.
continuous_new12.pdf (374.68 KB)
.
2013. .
0. 
Dissipative Euler Flows and Onsager's Conjecture. J. Eur. Math. Soc. (JEMS). 16(7):1467-1505.
hoelder_final.pdf (383.42 KB)
Errata_hoelder.pdf (54.42 KB)
.
2014. 

Dissipative Euler flows with Onsager-critical spatial regularity. Comm. Pure Appl. Math. . 69(2):229-274.
L1_onethird_65.pdf (525.74 KB)
.
2016. 
Estimates and regularity results for the DiPerna-Lions flow.. Crelle. 616:15–46.
Estimates_ODEs.pdf (298.06 KB)
.
2008. 