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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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The Euler equations as a differential inclusion.. Ann. of Math.
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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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John Nash's nonlinear iteration.
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Line energies for gradient vector fields in the plane. Calculus of Variations and Partial Differential Equations. 9:327–255.
ADM.pdf (261.08 KB)
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1999. 
Interaction of fractures in tensile bars with non-local spatial dependence.. Journal of Elasticity. 65:1–31(2002).
DR.pdf (235.27 KB)
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2001. 
An example in the gradient theory of phase transitions.. ESAIM: Control, Optimisation and Calculus of Variations. 7:285–289(electronic).
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2002. 
Le Olimpiadi della Matematica. Seconda Edizione. Zanichelli.
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2002. Some fine properties of currents and applications to distributional Jacobians.. Proceedings of the Royal Society of Edinburgh: Section A. 132:815–842.
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2002. 

Existence of solutions for a class of hyperbolic systems of conservation laws in several space dimensions.. International Mathematics Research Notices. :2205–2220.
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2003. 
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. 

On the optimality of velocity averaging lemmas.. Annales de l'Institut Henri Poincaré (C) Analyse Non Linéaire. 20:1075–1085.
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2003. 
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. 
The rectifiability of entropy measures in one space dimension.. Journal de Mathematiques Pures et Appliquees. 82:1343–1367.
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Errata_JMPA.pdf (116.41 KB)
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2003. 

Some remarks on the distributional Jacobian.. Nonlinear Analysis: Theory, Methods & Applications. 53:1101–1114.
NonLin.pdf (157.34 KB)
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2003. 
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.
Neo_SNS.pdf (208.49 KB)
Errata_SNS.pdf (121.58 KB)
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2003. 

Structure of entropy solutions for multi-dimensional scalar conservation laws.. Archiv for Rational Mechanics and Analysis. 170:137–184.
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2003. 
Structure of entropy solutions to the eikonal equation.. Journal of the European Mathematical Society. 5:107–145.
JEMS.pdf (410.51 KB)
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2003. 
Minimal entropy conditions for Burgers equation.. Quarterly of Applied Mathematics. 62:687–700.
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2004. 
A note on admissible solutions of 1D scalar conservation laws and 2D Hamilton-Jacobi equations.. Journal of Hyperbolic Differential Equations. 1:813–826.
laxsbv11.pdf (195.04 KB)
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2004. 