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2002. 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. 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. Low-regularity solutions of the periodic Camassa-Holm equation.. Communications in Partial Differential Equations. 32:87–126. Camassa_Holm.pdf (281.99 KB)
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2007. The masterpieces of John Forbes Nash Jr.. The Abel Prize 2013-2017. Nash_Abel_75.pdf (665.75 KB)
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2019. Minimal entropy conditions for Burgers equation.. Quarterly of Applied Mathematics. 62:687–700. Min_Ent.pdf (300.62 KB)
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2004. 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. Min-max embedded geodesic lines on asymptotically conical surfaces. J. Differential Geom.. 112(3):411-445. Geodesic_lines.pdf (600.18 KB)
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2019. Min-max theory for minimal hypersurfaces with boundary. Annales de l'Institut Fourier. 68(5):1909–1986. Min_Max_80.pdf (644.21 KB)
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2018. Multiple valued functions and integral currents. Ann. Sc. Norm. Super. Pisa Cl. Sci. (5). 14(4):1239-1269. complementi_R.pdf (427.54 KB)
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2015. A Nash-Kuiper theorem for $C^{1,\frac15-\delta}$ immersions of surfaces in $3$ dimensions. Revista matemática iberoamericana. 34:1119–1152. Nash_1.2_21.pdf (426.05 KB)
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2018. 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. 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. 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. Notes on hyperbolic systems of conservation laws and transport equations.. Handbook of Differential Equations: Evolutionary Equations, Volume 3 . hde51.pdf (749.93 KB) Errata_HDE.pdf (111.37 KB)
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2017. 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)
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2008. The Onsager theorem. Celebrating the 50th Anniversary of the Journal of Differential Geometry - Lectures given at the Geometry and Topology Conference at Harvard University in 2017. :71–102. JDG_11.pdf (403.91 KB)
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2018. Onsager's conjecture for admissible weak solutions. Communications on Pure and Applied Mathematics. 72:229–274. Onsager101.pdf (528.14 KB) Errata-Onsager.pdf (90.35 KB)
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2019. 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)
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2005. On the optimality of velocity averaging lemmas.. Annales de l'Institut Henri Poincaré (C) Analyse Non Linéaire. 20:1075–1085. OptAnn.pdf (142.3 KB)
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2003. 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. Oscillatory solutions to transport equations.. Indiana University Mathematics Journal. 55:1–13. Gian_Ind.pdf (221.59 KB)
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2006. Partial regularity for mass-minimizing currents in Hilbert spaces.. Journal für die Reine und Angewandte Mathematik. 2018:99–144. Hilbert_regularity.pdf (578.92 KB)
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2018. 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. PolyCRAS.pdf (149.28 KB)
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2003. A quantitative compactness estimate for scalar conservation laws.. Communications on Pure and Applied Mathematics. 58:989–998. Fran_CPAM.pdf (101.52 KB)
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2005.