De Lellis C., Hirsch J., Marchese A., Stuvard S..  2022.  Area minimizing currents mod $2Q$: linear regularity theory. Comm. Pure Appl. Math.. 75 DLHMS_linear_2.pdf (573.86 KB)

De Lellis C, Hirsch J, Marchese A, Spolaor L, Stuvard S.  2021.  Area minimizing hypersurfaces modulo $p$: a geometric free-boundary problem. Modp_odd_moduli.pdf (867.85 KB)

De Lellis C., De Philippis G., Hirsch J., Massaccesi A..  0.  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)

De Lellis C., De Philippis G., Hirsch J., Massaccesi A..  2018.  Boundary regularity of mass-minimizing integral currents and a question of Almgren. Matrix Annals 2017. :193-205. matrix_14.pdf (152.76 KB)

De Lellis C., Müller S..  2006.  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)

De Lellis C..  2006.  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)

Ambrosio L., De Lellis C., Maly J..  2007.  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)

De Lellis C., Ghiraldin F., Maggi F..  2017.  A direct approach to Plateau's problem. Journal of the European Mathematical Society. 19:2219–2240. plateau25.pdf (336.69 KB)

De Lellis C, Hirsch J, Marchese A, Spolaor L, Stuvard S.  2023.  Excess decay for minimizing hypercurrents mod $2Q$. Excess-decay.pdf (745.7 KB)

De Lellis C, Hirsch J, Marchese A, Spolaor L, Stuvard S.  2022.  Fine structure of the singular set of area minimizing hypersurfaces modulo $p$. Even-p-Structure.pdf (547.96 KB)

De Lellis C, Minter P, Skorobogatova A.  2023.  The fine structure of the singular set of area-minimizing integral currents III: Frequency 1 flat singular points and H^{m-2}-a.e uniqueness of tangent cones. Singularity_degree_1-arXiv-04-2024.pdf (1.68 MB)

Colombo M., De Lellis C., Massaccesi A..  2020.  The generalized Caffarelli-Kohn-Nirenberg Theorem for the hyperdissipative Navier-Stokes system. Comm. Pure Appl. Math.. 73(3):609-663. HNS_26.pdf (459.49 KB)

De Lellis C, Minter P, Skorobogatova A.  2024.  Higher codimension area-minimizing currents mod(q): structure of singularities near (m−1)-invariant cones. Mod-q-higher-decay.pdf (802.7 KB)

Ambrosio L., De Lellis C., Mantegazza C..  1999.  Line energies for gradient vector fields in the plane. Calculus of Variations and Partial Differential Equations. 9:327–255. ADM.pdf (261.08 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)

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)

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., 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)

Colding T.H, De Lellis C., W.P. Minicozzi II.  2008.  Three circles theorems for Schrödinger operators on cylindrical ends and geometric applications.. Communications on Pure and Applied Mathematics. 61:1540–1602. 3CirclesCPAM.pdf (462.46 KB)