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. 
Regularity of area-minimizing currents I: L^p gradient estimates. Geometric and Functional Analysis. 24:1831–1884.
Lp_revised.pdf (544.31 KB)
Errata_Lp.pdf (84.88 KB)
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2014. 

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. 

Density lower bound estimates for local minimizers of the 2d Mumford-Shah energy. Manuscripta Mathematica. 42:215–232.
MS_DLB15.pdf (341.6 KB)
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2013. 
Dissipative continuous Euler flows. Inventiones Mathematicae. 193:377–407.
continuous_new12.pdf (374.68 KB)
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2013. 
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. 

Higher integrability of the gradient for minimizers of the 2d Mumford-Shah energ. Journal de Mathématiques Pures et Appliquées. 100:391–409.
MS_Higher40.pdf (422.95 KB)
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2013. 
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. 

Almost Schur Lemma. Calculus of Variations and Partial Differential Equations. 43:347–354.
almost_schur.pdf (375.96 KB)
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2012. 
The h-principle and the equations of fluid dynamics.. Bulletin of the American Mathematical Society. 49:347–375.
bull1376.pdf (426.95 KB)
Errata_Euler_BullAMS.pdf (45.6 KB)
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2012. 

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. 

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. 
Lower semicontinuous functionals for Almgren's multiple valued functions. Annales Academiae Scientiarum Fennicae. Mathematica. 36:393–410.
DL_Fo_Sp.pdf (544.99 KB)
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2011. 
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. 

SBV Regularity for Hamilton-Jacobi Equations in R^n. Archiv for Rational Mechanics and Analysis. 200:1003–1021.
Ham_SBV.pdf (261.79 KB)
Errata_SBV_Hm.pdf (63.89 KB)
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2011. 

Weak-strong uniqueness for measure-valued Solutions. Communications in Mathematical Physics. 305:351–361.
mvsolutions_published.pdf (189.61 KB)
errata_mvsolutions.pdf (75.43 KB)
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2011. 

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. 

Almgren's Q-valued functions revisited. Proceedings of the International Congress of Mathematicians Hyderabad. :1–24.
icm2010_final_version.pdf (265.36 KB)
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2010. 
An extension of the identity Det=det.. Comptes Rendus Mathematique. 348:973–976.
Det_detCRAS.pdf (146.34 KB)
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2010. 
Genus bounds for minimal surfaces arising from min-max constructions.. Journal für die Reine und Angewandte Mathematik. 2010:47–99.
genus73.pdf (472.29 KB)
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2010. 
h-principle and rigidity for $C^{1,\alpha}$ isometric embeddings. Proceedings from the Abel Symposium 2010. :83–116.
iso60.pdf (233.93 KB)
Errata-iso.pdf (174.62 KB)
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2010. 

Hyperbolic equations and SBV functions. Journées équations aux dérivées partielles. :1–10.
JEDP_2010_A6_0.pdf (514.5 KB)
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2010. 
Existence of optimal strategies for a fire confinement problem.. Communications on Pure and Applied Mathematics. 62:789–830.
FireCPAM.pdf (364.62 KB)
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2009. 
Estimates and regularity results for the DiPerna-Lions flow.. Crelle. 616:15–46.
Estimates_ODEs.pdf (298.06 KB)
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2008. 
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. 