Found 145 results
Author Title Type [ Year(Desc)]
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2018
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.PDF icon Hilbert_regularity.pdf (578.92 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.PDF icon Q-rect-45.pdf (380.77 KB)PDF icon Errata-Q-rect.pdf (58.05 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.PDF icon tran-journal-version.pdf (313.58 KB)
2019
De Lellis C., De Rosa A., Ghiraldin F..  2019.  A direct approach to the anisotropic Plateau problem. Adv. Calc. Var.. 12(2):211-223.PDF icon DeLDeRGhi_15apr17.pdf (316.98 KB)
De Lellis C., De Rosa A., Ghiraldin F..  2019.  A direct approach to the anisotropic Plateau problem. Adv. Calc. Var.. 12(2):211-223.PDF icon DeLDeRGhi_15apr17.pdf (316.98 KB)
Alberti G, Bolcskey H, De Lellis C, Kolliander G, Riegler E.  2019.  Lossless analog compression. IEEE Trans. Inform. Theory. 65(11):7480-7513.PDF icon Lossless_compression_2.pdf (1.04 MB)
De Lellis C..  2019.  The masterpieces of John Forbes Nash Jr.. The Abel Prize 2013-2017. PDF icon Nash_Abel_75.pdf (665.75 KB)
Carlotto A., De Lellis C..  2019.  Min-max embedded geodesic lines on asymptotically conical surfaces. J. Differential Geom.. 112(3):411-445.PDF icon Geodesic_lines.pdf (600.18 KB)
Buckmaster T., De Lellis C., L. Székelyhidi Jr., Vicol V..  2019.  Onsager's conjecture for admissible weak solutions. Communications on Pure and Applied Mathematics. 72:229–274.PDF icon Onsager101.pdf (528.14 KB)PDF icon Errata-Onsager.pdf (90.35 KB)
De Lellis C., L. Székelyhidi Jr..  2019.  On turbulence and geometry: from Nash to Onsager. Notices Amer. Math. Soc.. 66(5)PDF icon notices_12.pdf (290.01 KB)
2020
De Lellis C..  2020.  Almgren's center manifold in a simple setting. Harmonic Analysis and Applications. IAS/Park City Mathematics Series. 27PDF icon PCMILectures_DeLellis_15.pdf (327.98 KB)PDF icon Errata_PCMI.pdf (26.04 KB)
De Lellis C., Inauen D..  2020.  $C^{1,\alpha}$ isometric embeddings of polar caps. Adv. Math. 363PDF icon Isometric_Embeddings_of_Polar_Caps_2.pdf (400.92 KB)
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)
De Lellis C.  2020.  The Nash-Kuiper Theorem and the Onsager conjecture. ICCM Not.. 8(1):17-26.PDF icon Bejing-5.pdf (353.58 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)
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.PDF icon BU_21.pdf (539.11 KB)
2021
De Lellis C, Nardulli S, Steinbruechel S.  2021.  An Allard-type boundary regularity theorem for $2d$ minimizing currents at smooth curves with arbitrary multiplicity. PDF icon convex-boundary-1.pdf (972.75 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)
De Lellis C, Focardi M, Ghinassi S.  2021.  Endpoint regularity for 2d Mumford-Shah minimizers: On a theorem of Andersson and Mikayelyan. J. Math. Pures Appl. (9). 155PDF icon DeLellis-Focardi-Ghinassi_journal-amended-4.pdf (553.88 KB)PDF icon Errata-crackip.pdf (136.56 KB)
De Lellis C., De Philippis G., Kirchheim B., Tione R..  2021.  Geometric measure theory and differential inclusions. Ann. Fac. Sci. Toulouse Math. (6). 30PDF icon Inclusioni26.pdf (601.47 KB)
De Lellis C., De Philippis G., Kirchheim B., Tione R..  2021.  Geometric measure theory and differential inclusions. Ann. Fac. Sci. Toulouse Math. (6). 30PDF icon Inclusioni26.pdf (601.47 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.PDF icon nonunique-flow-20.pdf (398.69 KB)
2022
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.  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, De Philippis G, Hirsch J.  2022.  Nonclassical minimizing surfaces with smooth boundary. J. Differential Geom.. 122PDF icon Infinite_Topology_23.pdf (333.68 KB)