The rectifiability of entropy measures in one space dimension.. Journal de Mathematiques Pures et Appliquees. 82:1343–1367.
Tri_JMPA.pdf (222.23 KB)
Errata_JMPA.pdf (116.41 KB)
.
2003. 

Regular selections for multiple-valued functions.. Annali di Matematica Pura ed Applicata. 183:79–95.
multi_annali.pdf (287.75 KB)
.
2004. 
Rectifiable sets, densities and tangent measures. Zurich Lectures in Advanced Mathematics. 7
Delellis_note136_corrected.pdf (708.89 KB)
Errata_libro.pdf (163.2 KB)
.
2008. 

Regularity of area-minimizing currents I: L^p gradient estimates. Geometric and Functional Analysis. 24:1831–1884.
Lp_revised.pdf (544.31 KB)
Errata_Lp.pdf (114.59 KB)
.
2014. 

A regularizing property of the 2d-eikonal equation. Communications in Partial Differential Equations. 40:1543–1557.
Eikonal_deLellis_Ignat_final.pdf (222.4 KB)
.
2015. 
Regularity of area-minimizing currents II: center manifold. Annals of Mathematics. Second Series. 183:499–575.
cm_R_revised_22.pdf (672.32 KB)
.
2016. 
Regularity of area-minimizing currents III: blow-up. Annals of Mathematics. Second Series. 183:577–617.
blow_up_R_revised_22.pdf (478.98 KB)
.
2016. 
The regularity of minimal surfaces in higher codimension. Current developments in mathematics 2014. :153-229.
survey_CDM_24.pdf (630.06 KB)
errata-survey-CDM.pdf (94.34 KB)
.
2016. 

Regularity theory for 2-dimensional almost minimal currents II: branched center manifold. Annals of PDE. 3:1–85.
CM_52.pdf (679.77 KB)
.
2017. 
Rectifiability and upper Minkowski bounds for singularities of harmonic Q-valued maps. Commentarii Mathematici Helvetici (CMH). 93:737–779.
Q-rect-45.pdf (380.77 KB)
Errata-Q-rect.pdf (58.05 KB)
.
2018. 

Regularity theory for 2-dimensional almost minimal currents I: Lipschitz approximation. Transactions of the American Mathematical Society. 370:1783–1801.
tran-journal-version.pdf (313.58 KB)
.
2018. 
Regularity of area minimizing currents mod $p$. Geom. Funct. Anal.. 30((5)):1224-1336.
DLHMS_nonlinear_2.pdf (978.39 KB)
.
2020. 
Regularity theory for 2-dimensional almost minimal currents III: blowup. J. Differential Geom.. 116(1):125-185.
BU_21.pdf (539.11 KB)
.
2020. 
The regularity theory for the area functional (in geometric measure theory). International Congress of Mathematicians.
ICM-De-Lellis-web-version-2.pdf (510.11 KB)
.
2022. 
.
2023. .
2023.
.
2025.