Fine structure of the singular set of area minimizing hypersurfaces modulo $p$.
Even-p-Structure.pdf (547.96 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. 
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. 
Instability and nonuniqueness for the 2d Euler equations in vorticity form, after M. Vishik.
Euler-book-preprint-version-2023-03-28.pdf (945.41 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. .
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2021. 
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. 
Anomalous Dissipation for the forced Navier-Stokes equations.
anomalous-dissipation-arXiv-version.pdf (325.73 KB)
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Endpoint regularity for 2d Mumford-Shah minimizers: On a theorem of Andersson and Mikayelyan. To appear in Journal de Mathe'matiques Pures et Applique'es.
DeLellis-Focardi-Ghinassi_journal-amended-4.pdf (553.88 KB)
Errata-crackip.pdf (136.56 KB)
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Onsager critical solutions of the forced Navier-Stokes equations.
anomalous_dissipation6.pdf (490.38 KB)
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0. 
Smoothing does not give a selection principle for transport equations with bounded autonomous fields. To appear in Annales Math'ematiques du Que'bec.
Selection-principle_final.pdf (319.86 KB)
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0. 