Dirichlet energy-minimizers with analytic boundary. Indiana Univ. Math. J.. . 72
DeLellis_Zhao_arXiv4.pdf (343.47 KB)
.
2023. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
Nonclassical minimizing surfaces with smooth boundary. J. Differential Geom.. 122
Infinite_Topology_23.pdf (333.68 KB)
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2022. .
0. .
0. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
On Non-uniqueness of Hoelder continuous globally dissipative Euler flows. Anal. PDE. 15
nuqE21.pdf (525.33 KB)
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2022. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
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)
.
2021. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
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. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
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. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
Area minimizing hypersurfaces modulo $p$: a geometric free-boundary problem.
Modp_odd_moduli.pdf (867.85 KB)
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2021. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
Weak stablity and closure in turbulence. Philos. Trans. Roy. Soc. A. 380
RSTA_CamilloLaszlo.pdf (373.92 KB)
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2022. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
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)
.
2022. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
Uniqueness of boundary tangent cones for $2$-dimensional area-minimizing currents. Nonlinear Anal. . 230
UniqTgConesBoundaryCSS1.pdf (326.56 KB)
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2023. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
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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Fine structure of the singular set of area minimizing hypersurfaces modulo $p$.
Even-p-Structure.pdf (547.96 KB)
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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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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. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
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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2023. .
2024. .
2024. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)