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. 

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. 
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. 

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. 

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. 
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. 
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. 
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. 
Global ill-posedness of the isentropic system of gas dynamics. Communications on Pure and Applied Mathematics. 68:1157–1190.
Riemann_15.pdf (393.84 KB)
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2015. .
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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. 
The generalized Caffarelli-Kohn-Nirenberg Theorem for the hyperdissipative Navier-Stokes system. Comm. Pure Appl. Math.. 73(3):609-663.
HNS_26.pdf (459.49 KB)
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2020. 
Fractional Sobolev regularity for the Brouwer degree. Communications in Partial Differential Equations. 42:1510–1523.
Fractional_Sobolev_Regularity_For_The_Brouwer_Degree.pdf (470.22 KB)
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2017. .
2022. 
An extension of the identity Det=det.. Comptes Rendus Mathematique. 348:973–976.
Det_detCRAS.pdf (146.34 KB)
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2010. 
Existence of solutions for a class of hyperbolic systems of conservation laws in several space dimensions.. International Mathematics Research Notices. :2205–2220.
esistenza10.pdf (235.06 KB)
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2003. 
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. 
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. 

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. 
The Euler equations as a differential inclusion.. Ann. of Math.
LasAnn.pdf (741.47 KB)
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0. 
Estimates and regularity results for the DiPerna-Lions flow.. Crelle. 616:15–46.
Estimates_ODEs.pdf (298.06 KB)
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2008. 
Endpoint regularity for 2d Mumford-Shah minimizers: On a theorem of Andersson and Mikayelyan. To appear in Journal de Mathe'matiques Pures et Applique'es.
DeLellis-Focardi-Ghinassi_journal-amended-4.pdf (553.88 KB)
Errata-crackip.pdf (136.56 KB)
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Dissipative Euler flows with Onsager-critical spatial regularity. Comm. Pure Appl. Math. . 69(2):229-274.
L1_onethird_65.pdf (525.74 KB)
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2016. 