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2004. Regular selections for multiple-valued functions.. Annali di Matematica Pura ed Applicata. 183:79–95.
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multi_annali.pdf (287.75 KB).
2004. Well-posedness for a class of hyperbolic systems of conservation laws in several space dimensions.. Communications in Partial Differential Equations. 29:1635–1651. KK_CPDE.pdf (223.35 KB) Errata_KK.pdf (81.82 KB)
KK_CPDE.pdf (223.35 KB) Errata_KK.pdf (81.82 KB).
2005. Blowup of the BV norm in the multidimensional Keyfitz and Kranzer system.. Duke Mathematical Journal. 127:313–339. KK_blowup.pdf (215.66 KB)
KK_blowup.pdf (215.66 KB).
2005. Optimal rigidity estimates for nearly umbilical surfaces.. Journal of Differential Geometry. 69:75–110. StJDG.pdf (379.65 KB) Errata-umbilical.pdf (118.13 KB)
StJDG.pdf (379.65 KB) Errata-umbilical.pdf (118.13 KB).
2005. A quantitative compactness estimate for scalar conservation laws.. Communications on Pure and Applied Mathematics. 58:989–998. Fran_CPAM.pdf (101.52 KB)
Fran_CPAM.pdf (101.52 KB).
2005. Singular limit laminations, Morse index, and positive scalar curvature.. Topology. 44:25–45. TobyTop.pdf (358.38 KB)
TobyTop.pdf (358.38 KB).
2006. A $C^0$ estimate for nearly umbilical surfaces.. Calculus of Variations and Partial Differential Equations. 26:283–296. UmbC0.pdf (319.23 KB) Errata-umbilical-2.pdf (95.55 KB)
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2006. The chain rule for the divergence of BV-like vector fields.. Hyperbolic Problems: Theory Numerics and Applications -I-. :105–112. ProcHyp04.PDF (312.52 KB)
ProcHyp04.PDF (312.52 KB).
2006. Oscillatory solutions to transport equations.. Indiana University Mathematics Journal. 55:1–13. Gian_Ind.pdf (221.59 KB)
Gian_Ind.pdf (221.59 KB).
2006. Simple proof of two-well rigidity.. Comptes Rendus Mathematique. 343:367–370. 2Wells_CRAS.pdf (113.36 KB)
2Wells_CRAS.pdf (113.36 KB).
2007. On the chain rule for the divergence of BV-like vector fields: applications, partial results, open problems.. Perspectives in nonlinear partial differential equations. 446:31–67. chain100.pdf (364.46 KB)
chain100.pdf (364.46 KB).
2007. Low-regularity solutions of the periodic Camassa-Holm equation.. Communications in Partial Differential Equations. 32:87–126. Camassa_Holm.pdf (281.99 KB)
Camassa_Holm.pdf (281.99 KB).
2007. Sharp upper bounds for a variational problem with singular perturbation.. Mathematische Annalen. 338:119–146. Glim_MathAnn.pdf (456.79 KB)
Glim_MathAnn.pdf (456.79 KB).
2008. Estimates and regularity results for the DiPerna-Lions flow.. Crelle. 616:15–46. Estimates_ODEs.pdf (298.06 KB)
Estimates_ODEs.pdf (298.06 KB).
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)
De_Lellis.pdf (212.78 KB).
2008. A note on Alberti's rank-one theorem.. Transport Equations and Multi-D Hyperbolic Conservation Laws. 5:61–74. giovanni23.pdf (186.07 KB) Errata_R1.pdf (85.14 KB)
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2008. ODEs with Sobolev coefficients: the Eulerian and the Lagrangian approach.. Discrete and Continuous Dynamical Systems. Series S. 1:405–426. Eul_vs_Lag.pdf (277.64 KB)
Eul_vs_Lag.pdf (277.64 KB).
2008. 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. Rectifiable sets, densities and tangent measures. Zurich Lectures in Advanced Mathematics. 7 Delellis_note136_corrected.pdf (708.89 KB) Errata_libro.pdf (163.2 KB)
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2008. 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)
3CirclesCPAM.pdf (462.46 KB).
2009. Existence of optimal strategies for a fire confinement problem.. Communications on Pure and Applied Mathematics. 62:789–830. FireCPAM.pdf (364.62 KB)
FireCPAM.pdf (364.62 KB).
2010. 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 (50.02 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)
icm2010_final_version.pdf (265.36 KB).
2010. An extension of the identity Det=det.. Comptes Rendus Mathematique. 348:973–976. Det_detCRAS.pdf (146.34 KB)
Det_detCRAS.pdf (146.34 KB).
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)
genus73.pdf (472.29 KB)