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. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
Il teorema di Schlaefli: un invito alla quarta dimensione. Il Volterriano. 13
Schlaefli_43.pdf (467.71 KB)
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2017. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
Allard's interior regularity theorem: an invitation to stationary varifolds. Nonlinear analysis in geometry and applied mathematics.. 2:23-49.
allard_40.pdf (382.92 KB)
Allard-errata.pdf (99.62 KB)
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2018. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
On the boundary behavior of mass-minimizing integral currents. To appear in Memoirs of the American Mathematical Society.
borda_memoirs_3.pdf (1.24 MB)
Errata-bordo.pdf (51.68 KB)
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0. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
Boundary regularity of mass-minimizing integral currents and a question of Almgren. Matrix Annals 2017. :193-205.
matrix_14.pdf (152.76 KB)
Errata-bordo-matrix.pdf (52 KB)
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2018. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
$2$-dimensional almost area minimizing currents. Boll. Unione Mat. Ital.. 9(1):3–67.
survey_BUMI_24.pdf (636.4 KB)
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2016. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
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. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
The size of the singular set of area-minimizing currents. Surv. Differ. Geom.. 21:1-83.
survey_JDG_23.pdf (666.39 KB)
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2016. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
The regularity of minimal surfaces in higher codimension. Current developments in mathematics 2014. :153-229.
survey_CDM_24.pdf (630.06 KB)
errata-survey-CDM.pdf (94.34 KB)
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2016. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
Multiple valued functions and integral currents. Ann. Sc. Norm. Super. Pisa Cl. Sci. (5). 14(4):1239-1269.
complementi_R.pdf (427.54 KB)
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2015. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
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. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
The $h$-principle and Onsager's conjecture. Eur. Math. Soc. Newsl. 95:19-24.
DeLellis_Szekelyhidi_ems_7.pdf (108.78 KB)
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2015. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
Dissipative Euler Flows and Onsager's Conjecture. J. Eur. Math. Soc. (JEMS). 16(7):1467-1505.
hoelder_final.pdf (383.42 KB)
Errata_hoelder.pdf (54.42 KB)
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2014. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
Continuous dissipative Euler flows and a conjecture of Onsager.. European Congress of Mathematics.
de_lellis_proc_ECM_4.pdf (382.6 KB)
Errata_proc_ECM.pdf (36.71 KB)
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2013. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
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Le equazioni di Eulero dal punto di vista delle inclusioni differenziali (Italian). Boll. Unione Mat. Ital. (9). 1(3):873-879.
De_Lellis.pdf (212.78 KB)
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2008. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
The Euler equations as a differential inclusion.. Ann. of Math.
LasAnn.pdf (741.47 KB)
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0. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
$C^{1,\alpha}$ isometric embeddings of polar caps. Adv. Math. 363
Isometric_Embeddings_of_Polar_Caps_2.pdf (400.92 KB)
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2020. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
Transport equation with integral terms. Calc. Var. Partial Differential Equations. 55(5):Art.128pp.17.
DGS_05_03.pdf (347.31 KB)
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2016. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
Notes on hyperbolic systems of conservation laws and transport equations.. Handbook of Differential Equations: Evolutionary Equations, Volume 3 .
hde51.pdf (749.93 KB)
Errata_HDE.pdf (111.37 KB)
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2017. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
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Ill-posedness for bounded admissible solutions of the 2-dimensional p–system..
Hyp08_delellis.pdf (151.58 KB)
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0. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
John Nash's nonlinear iteration.
contr_vol_Nash_11.pdf (419.73 KB)
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0. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
The masterpieces of John Forbes Nash Jr.. The Abel Prize 2013-2017.
Nash_Abel_75.pdf (665.75 KB)
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2019. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
A $C^0$ estimate for nearly umbilical surfaces.. Calculus of Variations and Partial Differential Equations. 26:283–296.
UmbC0.pdf (319.23 KB)
Errata-umbilical-2.pdf (95.55 KB)
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2006. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
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A direct approach to Plateau's problem. Journal of the European Mathematical Society. 19:2219–2240.
plateau25.pdf (336.69 KB)
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2017. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
A Nash-Kuiper theorem for $C^{1,\frac15-\delta}$ immersions of surfaces in $3$ dimensions. Revista matemática iberoamericana. 34:1119–1152.
Nash_1.2_21.pdf (426.05 KB)
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2018. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)