Found 19 results
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A
De Lellis C., Hirsch J., Marchese A., Stuvard S..  2022.  Area minimizing currents mod $2Q$: linear regularity theory. Comm. Pure Appl. Math.. 75PDF icon 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. PDF icon Modp_odd_moduli.pdf (867.85 KB)
B
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. PDF icon 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.PDF icon matrix_14.pdf (152.76 KB)
C
De Lellis C., Müller S..  2006.  A $C^0$ estimate for nearly umbilical surfaces.. Calculus of Variations and Partial Differential Equations. 26:283–296.PDF icon UmbC0.pdf (319.23 KB)PDF icon 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.PDF icon 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.PDF icon chain100.pdf (364.46 KB)
D
De Lellis C., Ghiraldin F., Maggi F..  2017.  A direct approach to Plateau's problem. Journal of the European Mathematical Society. 19:2219–2240.PDF icon plateau25.pdf (336.69 KB)
E
De Lellis C, Hirsch J, Marchese A, Spolaor L, Stuvard S.  2023.  Excess decay for minimizing hypercurrents mod $2Q$. PDF icon Excess-decay.pdf (745.7 KB)
F
De Lellis C, Hirsch J, Marchese A, Spolaor L, Stuvard S.  2022.  Fine structure of the singular set of area minimizing hypersurfaces modulo $p$. PDF icon 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. PDF icon Singularity_degree_1-arXiv-04-2024.pdf (1.68 MB)
G
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.PDF icon HNS_26.pdf (459.49 KB)
H
De Lellis C, Minter P, Skorobogatova A.  2024.  Higher codimension area-minimizing currents mod(q): structure of singularities near (m−1)-invariant cones. PDF icon Mod-q-higher-decay.pdf (802.7 KB)
L
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.PDF icon ADM.pdf (261.08 KB)
O
De Lellis C., Müller S..  2005.  Optimal rigidity estimates for nearly umbilical surfaces.. Journal of Differential Geometry. 69:75–110.PDF icon StJDG.pdf (379.65 KB)PDF icon Errata-umbilical.pdf (118.13 KB)
P
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.PDF icon PolyCRAS.pdf (149.28 KB)
R
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.PDF icon Q-rect-45.pdf (380.77 KB)PDF icon 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.PDF icon DLHMS_nonlinear_2.pdf (978.39 KB)
T
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.PDF icon 3CirclesCPAM.pdf (462.46 KB)