Min-max embedded geodesic lines on asymptotically conical surfaces. J. Differential Geom.. 112(3):411-445.
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2019. 
Surprising solutions to the isentropic Euler system of gas dynamics.
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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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Singular limit laminations, Morse index, and positive scalar curvature.. Topology. 44:25–45.
TobyTop.pdf (358.38 KB)
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2005. 
The min-max construction of minimal surfaces.. Surveys in differential geometry, Vol.VIII (Boston MA, 2002). :75–107.
MinMax92.pdf (439.52 KB)
Errata_MinMax_survey.pdf (180.52 KB)
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2003. 

Three circles theorems for Schrödinger operators on cylindrical ends and geometric applications.. Communications on Pure and Applied Mathematics. 61:1540–1602.
3CirclesCPAM.pdf (462.46 KB)
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2008. 
Ill-posedness of Leray solutions for the ipodissipative Navier–Stokes equations. Communications in Mathematical Physics. 362(2):659–688.
Cattivo_frazionario_16.pdf (427.09 KB)
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2018. 
The generalized Caffarelli-Kohn-Nirenberg Theorem for the hyperdissipative Navier-Stokes system. Comm. Pure Appl. Math.. 73(3):609-663.
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2020. 
Polyconvexity equals rank-one convexity for connected isotropic sets in $\Bbb M^{2\times 2}$.. Comptes Rendus Mathématique. Académie des Sciences. Paris. 337:233–238.
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2003. 
h-principle and rigidity for $C^{1,\alpha}$ isometric embeddings. Proceedings from the Abel Symposium 2010. :83–116.
iso60.pdf (233.93 KB)
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2010. 

Some remarks on the theory of elasticity for compressible Neohookean materials.. Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V. 2:521–549.
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2003. 

Sharp upper bounds for a variational problem with singular perturbation.. Mathematische Annalen. 338:119–146.
Glim_MathAnn.pdf (456.79 KB)
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2007. 
Estimates and regularity results for the DiPerna-Lions flow.. Crelle. 616:15–46.
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2008. 
Oscillatory solutions to transport equations.. Indiana University Mathematics Journal. 55:1–13.
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2006. 
Regularity of area-minimizing currents II: center manifold. Annals of Mathematics. Second Series. 183:499–575.
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2016. 
Dissipative Euler Flows and Onsager's Conjecture. J. Eur. Math. Soc. (JEMS). 16(7):1467-1505.
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2014. 

Uniqueness of boundary tangent cones for $2$-dimensional area-minimizing currents. Nonlinear Anal. . 230
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2023. 
Il teorema di Liouville ovvero perche' ``non esiste'' la primitiva di exp(x^2). Il Volterriano. 11:33–61.
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2013. 

Some remarks on the distributional Jacobian.. Nonlinear Analysis: Theory, Methods & Applications. 53:1101–1114.
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2003. 
The regularity theory for the Mumford-Shah functional on the plane.
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2023. 
On admissibility criteria for weak solutions of the Euler equations.. Archiv for Rational Mechanics and Analysis. 195:225–260.
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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.
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2018. 

The fine structure of the singular set of area-minimizing integral currents I: the singularity degree of flat singular points.
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2023. 
The rectifiability of entropy measures in one space dimension.. Journal de Mathematiques Pures et Appliquees. 82:1343–1367.
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