Found 27 results
Author Title Type [ Year(Desc)]
Filters: Author is Camillo De Lellis  [Clear All Filters]
0
De Lellis C.  0.  An appendix to a paper by Klainerman and Szeftel. PDF icon Appendix-for-Jeremie-and-Sergiu.pdf (186.61 KB)
De Lellis C, Pakzad MReza.  0.  The geometry of $C^{1,\alpha}$ flat isometric immersions. PDF icon Holder-developable-arxiv.pdf (395.4 KB)
2020
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)
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)
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, 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)
De Lellis C, Kwon H.  2022.  On Non-uniqueness of Hoelder continuous globally dissipative Euler flows. Anal. PDE. 15PDF icon nuqE21.pdf (525.33 KB)
De Lellis C.  2022.  The regularity theory for the area functional (in geometric measure theory). International Congress of Mathematicians. PDF icon ICM-De-Lellis-web-version-2.pdf (510.11 KB)
De Lellis C, Giri V.  2022.  Smoothing does not give a selection principle for transport equations with bounded autonomous fields. Ann. Math. Que'.. 46PDF icon Selection-principle_final.pdf (319.86 KB)
De Lellis C, Szekelyhidi, Jr. L.  2022.  Weak stablity and closure in turbulence. Philos. Trans. Roy. Soc. A. 380PDF icon RSTA_CamilloLaszlo.pdf (373.92 KB)
2023
Brue' E, De Lellis C.  2023.  Anomalous Dissipation for the forced Navier-Stokes equations. Comm. Math. Phys.. 400PDF icon anomalous-dissipation-arXiv-version.pdf (325.73 KB)
De Lellis C, Zhao Z.  2023.  Dirichlet energy-minimizers with analytic boundary. Indiana Univ. Math. J.. . 72PDF icon DeLellis_Zhao_arXiv4.pdf (343.47 KB)
De Lellis C, Fleschler I.  2023.  An elementary rectifiability lemma and some applications. PDF icon Non-sigma-12.pdf (369.45 KB)
De Lellis C, Hirsch J, Marchese A, Spolaor L, Stuvard S.  2023.  Excess decay for minimizing hypercurrents mod $2Q$. PDF icon Excess-decay.pdf (745.7 KB)
De Lellis C, Skorobogatova A.  2023.  The fine structure of the singular set of area-minimizing integral currents I: the singularity degree of flat singular points. PDF icon main.pdf (657.89 KB)
De Lellis C, Minter P, Skorobogatova A.  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. PDF icon Singularity_degree_1-arXiv-04-2024.pdf (1.68 MB)
De Lellis C, Skorobogatova A.  2023.  The fine structure of the singular set of area-minimizing integral currents II: rectifiability of flat singular points with singularity degree larger than $1$. PDF icon main.pdf (618.28 KB)
Brue' E, De Lellis C.  2023.  Geometric structure of Migdal's constrained vortex surfaces. Physics Reports. 1011PDF icon Appendix BrueDeLellis.pdf (218.36 KB)
Brue' E, Colombo M, Crippa G, De Lellis C, Sorella M.  2023.  Onsager critical solutions of the forced Navier-Stokes equations. Comm. Pure Appl. Anal. . PDF icon anomalous_dissipation6.pdf (490.38 KB)
De Lellis C, Focardi M.  2023.  The regularity theory for the Mumford-Shah functional on the plane. PDF icon Libro-MS.pdf (1.4 MB)
Bressan A, De Lellis C.  2023.  A Remark on the Uniqueness of Solutions to Hyperbolic Conservation Laws. PDF icon hypremark-9.pdf (237.36 KB)
De Lellis C, Nardulli S, Steinbruechel S.  2023.  Uniqueness of boundary tangent cones for $2$-dimensional area-minimizing currents. Nonlinear Anal. . 230PDF icon UniqTgConesBoundaryCSS1.pdf (326.56 KB)