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2020. Regularity of area minimizing currents mod $p$. Geom. Funct. Anal.. 30((5)):1224-1336. DLHMS_nonlinear_2.pdf (978.39 KB)
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2004. Regular selections for multiple-valued functions.. Annali di Matematica Pura ed Applicata. 183:79–95. multi_annali.pdf (287.75 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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2003. The rectifiability of entropy measures in one space dimension.. Journal de Mathematiques Pures et Appliquees. 82:1343–1367. Tri_JMPA.pdf (222.23 KB) Errata_JMPA.pdf (116.41 KB)
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2018. Rectifiability and upper Minkowski bounds for singularities of harmonic Q-valued maps. Commentarii Mathematici Helvetici (CMH). 93:737–779. Q-rect-45.pdf (380.77 KB) Errata-Q-rect.pdf (58.05 KB)
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2011. Q-valued functions revisited. Memoirs of the American Mathematical Society. 211:1–85. memoDeSp.pdf (1.17 MB) Errata_memo2.pdf (229.61 KB)
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2005. 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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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. PolyCRAS.pdf (149.28 KB)
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2018. 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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2006. Oscillatory solutions to transport equations.. Indiana University Mathematics Journal. 55:1–13. Gian_Ind.pdf (221.59 KB)
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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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2003. 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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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)
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2019. 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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2018. 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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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)
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2017. 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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2014. 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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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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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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2018. 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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2015. 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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2018. 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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2019. 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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