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. 
High dimensionality and h-principle in PDE. Bulletin (new series) of the American Mathematical Society. 54:247–282.
Nash_Bull_15.pdf (484.16 KB)
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2017. 
The existence of embedded minimal hypersurfaces. Journal of Differential Geometry. 95:355–388.
JDG_final.pdf (318.43 KB)
Errata_MinMax_sets.pdf (54.93 KB)
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2013. 

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. 
Low-regularity solutions of the periodic Camassa-Holm equation.. Communications in Partial Differential Equations. 32:87–126.
Camassa_Holm.pdf (281.99 KB)
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2007. 
Ordinary differential equations with rough coefficients and the renormalization theorem of Ambrosio [after Ambrosio, DiPerna, Lions].. Séminaire Bourbaki. 2006/2007:175–203.
Exp.972.C.DeLellis.pdf (248.93 KB)
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2008. 
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. 
A direct approach to the anisotropic Plateau problem. Adv. Calc. Var.. 12(2):211-223.
DeLDeRGhi_15apr17.pdf (316.98 KB)
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2019. 
An example in the gradient theory of phase transitions.. ESAIM: Control, Optimisation and Calculus of Variations. 7:285–289(electronic).
COCV.pdf (117.75 KB)
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2002. 
Regularity of area-minimizing currents II: center manifold. Annals of Mathematics. Second Series. 183:499–575.
cm_R_revised_22.pdf (672.32 KB)
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2016. 
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. 

Some remarks on the distributional Jacobian.. Nonlinear Analysis: Theory, Methods & Applications. 53:1101–1114.
NonLin.pdf (157.34 KB)
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2003. 
Uniqueness of boundary tangent cones for $2$-dimensional area-minimizing currents.
UniqTgConesBoundaryCSS1.pdf (326.56 KB)
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2021. 
Il teorema di Liouville ovvero perche' ``non esiste'' la primitiva di exp(x^2). Il Volterriano. 11:33–61.
Liouville_finale.pdf (366.16 KB)
Errata_Liouville.pdf (99.15 KB)
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2013. 

The rectifiability of entropy measures in one space dimension.. Journal de Mathematiques Pures et Appliquees. 82:1343–1367.
Tri_JMPA.pdf (222.23 KB)
Errata_JMPA.pdf (116.41 KB)
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2003. 

A note on the Hausdorff dimension of the singular set for minimizers of the Mumford-Shah functional. Advances in Calculus of Variations. 7:539–545.
StimaSing20130417.pdf (273.62 KB)
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2014. 
On admissibility criteria for weak solutions of the Euler equations.. Archiv for Rational Mechanics and Analysis. 195:225–260.
EulerARMA.pdf (413.39 KB)
Errata_Euler_ARMA.pdf (32.46 KB)
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2010. 

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)
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2018. 
Q-valued functions revisited. Memoirs of the American Mathematical Society. 211:1–85.
memoDeSp.pdf (1.17 MB)
Errata_memo.pdf (228.44 KB)
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2011. 

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. .
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Center manifold: a case study. Discrete and Continuous Dynamical Systems - Series A. 31:1249–1272.
DeLellis_Spadaro.pdf (482.25 KB)
Errata_CM_Case_study.pdf (103.47 KB)
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2011. 

The Euler equations as a differential inclusion.. Ann. of Math.
LasAnn.pdf (741.47 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. 
Hamilton-Jacobi equations with obstacles. Archive for Rational Mechanics and Analysis. 200:1051–1073.
Obs_Ham.pdf (295.72 KB)
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2011. 