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2023. Nonclassical minimizing surfaces with smooth boundary. J. Differential Geom.. 122 Infinite_Topology_23.pdf (333.68 KB)
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2022. 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. 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. 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. Area minimizing hypersurfaces modulo $p$: a geometric free-boundary problem. Modp_odd_moduli.pdf (867.85 KB)
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2021. Weak stablity and closure in turbulence. Philos. Trans. Roy. Soc. A. 380 RSTA_CamilloLaszlo.pdf (373.92 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. Uniqueness of boundary tangent cones for $2$-dimensional area-minimizing currents. Nonlinear Anal. . 230 UniqTgConesBoundaryCSS1.pdf (326.56 KB)
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2023. 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. Fine structure of the singular set of area minimizing hypersurfaces modulo $p$. Even-p-Structure.pdf (547.96 KB)
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2023. The fine structure of the singular set of area-minimizing integral currents I: the singularity degree of flat singular points. main.pdf (657.89 KB)
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2023. The fine structure of the singular set of area-minimizing integral currents II: rectifiability of flat singular points with singularity degree larger than $1$. main.pdf (618.28 KB)
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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)
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