The masterpieces of John Forbes Nash Jr.. The Abel Prize 2013-2017. Nash_Abel_75.pdf (665.75 KB)
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2019. Min-max embedded geodesic lines on asymptotically conical surfaces. J. Differential Geom.. 112(3):411-445. Geodesic_lines.pdf (600.18 KB)
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2019. Onsager's conjecture for admissible weak solutions. Communications on Pure and Applied Mathematics. 72:229–274. Onsager101.pdf (528.14 KB) Errata-Onsager.pdf (90.35 KB)
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2019. On turbulence and geometry: from Nash to Onsager. Notices Amer. Math. Soc.. 66(5) notices_12.pdf (290.01 KB)
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2019. Almgren's center manifold in a simple setting. Harmonic Analysis and Applications. IAS/Park City Mathematics Series. 27 PCMILectures_DeLellis_15.pdf (327.98 KB) Errata_PCMI.pdf (26.04 KB)
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2020. $C^{1,\alpha}$ isometric embeddings of polar caps. Adv. Math. 363 Isometric_Embeddings_of_Polar_Caps_2.pdf (400.92 KB)
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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)
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2020. The Nash-Kuiper Theorem and the Onsager conjecture. ICCM Not.. 8(1):17-26. Bejing-5.pdf (353.58 KB)
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2020. Regularity of area minimizing currents mod $p$. Geom. Funct. Anal.. 30((5)):1224-1336. DLHMS_nonlinear_2.pdf (978.39 KB)
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2020. Regularity theory for 2-dimensional almost minimal currents III: blowup. J. Differential Geom.. 116(1):125-185. BU_21.pdf (539.11 KB)
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2020. An Allard-type boundary regularity theorem for $2d$ minimizing currents at smooth curves with arbitrary multiplicity. convex-boundary-1.pdf (972.75 KB)
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2021. Area minimizing hypersurfaces modulo $p$: a geometric free-boundary problem. Modp_odd_moduli.pdf (867.85 KB)
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2021. Endpoint regularity for 2d Mumford-Shah minimizers: On a theorem of Andersson and Mikayelyan. J. Math. Pures Appl. (9). 155 DeLellis-Focardi-Ghinassi_journal-amended-4.pdf (553.88 KB) Errata-crackip.pdf (136.56 KB)
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2021. Geometric measure theory and differential inclusions. Ann. Fac. Sci. Toulouse Math. (6). 30 Inclusioni26.pdf (601.47 KB)
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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)
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2021. Area minimizing currents mod $2Q$: linear regularity theory. Comm. Pure Appl. Math.. 75 DLHMS_linear_2.pdf (573.86 KB)
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2022. Fine structure of the singular set of area minimizing hypersurfaces modulo $p$. Even-p-Structure.pdf (547.96 KB)
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2022. Nonclassical minimizing surfaces with smooth boundary. J. Differential Geom.. 122 Infinite_Topology_23.pdf (333.68 KB)
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2022. On Non-uniqueness of Hoelder continuous globally dissipative Euler flows. Anal. PDE. 15 nuqE21.pdf (525.33 KB)
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2022. 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)
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2022. Smoothing does not give a selection principle for transport equations with bounded autonomous fields. Ann. Math. Que'.. 46 Selection-principle_final.pdf (319.86 KB)
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2022. Weak stablity and closure in turbulence. Philos. Trans. Roy. Soc. A. 380 RSTA_CamilloLaszlo.pdf (373.92 KB)
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2022. Anomalous Dissipation for the forced Navier-Stokes equations. Comm. Math. Phys.. 400 anomalous-dissipation-arXiv-version.pdf (325.73 KB)
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2023. Dirichlet energy-minimizers with analytic boundary. Indiana Univ. Math. J.. . 72 DeLellis_Zhao_arXiv4.pdf (343.47 KB)
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