De Lellis C., Ignat R..  2015.  A regularizing property of the 2d-eikonal equation. Communications in Partial Differential Equations. 40:1543–1557. Eikonal_deLellis_Ignat_final.pdf (222.4 KB)

De Lellis C, Focardi M.  2023.  The regularity theory for the Mumford-Shah functional on the plane. Libro_Mumford_Shah-versione-2025-01-04.pdf (1.59 MB)

De Lellis C.  2022.  The regularity theory for the area functional (in geometric measure theory). ICM International Congress of Mathematicians. Vol. 2 Plenary lectures ICM-De-Lellis-web-version-2.pdf (510.11 KB)

De Lellis C., Spadaro E., Spolaor L..  2020.  Regularity theory for 2-dimensional almost minimal currents III: blowup. J. Differential Geom.. 116(1):125-185. BU_21.pdf (539.11 KB)

De Lellis C., Spadaro E., Spolaor L..  2017.  Regularity theory for 2-dimensional almost minimal currents II: branched center manifold. Annals of PDE. 3:1–85. CM_52.pdf (679.77 KB)

De Lellis C., Spadaro E., Spolaor L..  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)

De Lellis C..  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)

De Lellis C., Spadaro E..  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)

De Lellis C., Spadaro E..  2016.  Regularity of area-minimizing currents II: center manifold. Annals of Mathematics. Second Series. 183:499–575. cm_R_revised_22.pdf (672.32 KB)

De Lellis C., Spadaro E..  2014.  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)

De Lellis C., Hirsch J., Marchese A., Stuvard S..  2020.  Regularity of area minimizing currents mod $p$. Geom. Funct. Anal.. 30((5)):1224-1336. DLHMS_nonlinear_2.pdf (978.39 KB)

De Lellis C., Grisanti C.R, Tilli P..  2004.  Regular selections for multiple-valued functions.. Annali di Matematica Pura ed Applicata. 183:79–95. multi_annali.pdf (287.75 KB)

De Lellis C..  2008.  Rectifiable sets, densities and tangent measures. Zurich Lectures in Advanced Mathematics. 7 Delellis_note136_corrected.pdf (708.89 KB) Errata_libro.pdf (164.21 KB)

De Lellis C., Rivière T..  2003.  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)

De Lellis C., Marchese A., Spadaro E., Valtorta D..  2018.  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)

De Lellis C., Spadaro E..  2011.  Q-valued functions revisited. Memoirs of the American Mathematical Society. 211:1–85. memoDeSp.pdf (1.17 MB) Errata_memo3.pdf (246.05 KB)

De Lellis C., Golse F..  2005.  A quantitative compactness estimate for scalar conservation laws.. Communications on Pure and Applied Mathematics. 58:989–998. Fran_CPAM.pdf (101.52 KB)

Brue' E, Colombo M, De Lellis C.  2021.  Positive solutions of transport equations and classical nonuniqueness of characteristic curves. Arch. Ration. Mech. Anal. . 240(2):1055-1090. nonunique-flow-20.pdf (398.69 KB)

Conti S., De Lellis C., Müller S., Romeo M..  2003.  Polyconvexity equals rank-one convexity for connected isotropic sets in $\Bbb M^{2\times 2}$.. Comptes Rendus Mathématique. Académie des Sciences. Paris. 337:233–238. PolyCRAS.pdf (149.28 KB)

Ambrosio L., De Lellis C., Schmidt T..  2018.  Partial regularity for mass-minimizing currents in Hilbert spaces.. Journal für die Reine und Angewandte Mathematik. 2018:99–144. Hilbert_regularity.pdf (578.92 KB)

Crippa G., De Lellis C..  2006.  Oscillatory solutions to transport equations.. Indiana University Mathematics Journal. 55:1–13. Gian_Ind.pdf (221.59 KB)

De Lellis C..  2008.  Ordinary differential equations with rough coefficients and the renormalization theorem of Ambrosio [after Ambrosio, DiPerna, Lions].. Séminaire Bourbaki. 2006/2007:175–203. Exp.972.C.DeLellis.pdf (248.93 KB)

De Lellis C., Westdickenberg M..  2003.  On the optimality of velocity averaging lemmas.. Annales de l'Institut Henri Poincaré (C) Analyse Non Linéaire. 20:1075–1085. OptAnn.pdf (142.3 KB)

Almgren F, Browder W, Caldini G, De Lellis C.  2024.  Optimal smooth approximation of integral cycles. Optimal smooth approximation.pdf (465.23 KB)

De Lellis C., Müller S..  2005.  Optimal rigidity estimates for nearly umbilical surfaces.. Journal of Differential Geometry. 69:75–110. StJDG.pdf (379.65 KB) Errata-umbilical.pdf (118.13 KB)