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. 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. 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. 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. 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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2011. 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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2018. 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. 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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2004. Regularity of area-minimizing currents I: L^p gradient estimates. Geometric and Functional Analysis. 24:1831–1884. Lp_revised.pdf (544.31 KB) Errata_Lp.pdf (114.59 KB)
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2014. Regularity of area-minimizing currents II: center manifold. Annals of Mathematics. Second Series. 183:499–575. cm_R_revised_22.pdf (672.32 KB)
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2016. Regularity of area-minimizing currents III: blow-up. Annals of Mathematics. Second Series. 183:577–617. blow_up_R_revised_22.pdf (478.98 KB)
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2016. Regularity theory for 2-dimensional almost minimal currents I: Lipschitz approximation. Transactions of the American Mathematical Society. 370:1783–1801. tran-journal-version.pdf (313.58 KB)
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2018. Regularity theory for 2-dimensional almost minimal currents II: branched center manifold. Annals of PDE. 3:1–85. CM_52.pdf (679.77 KB)
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2017. Simple proof of two-well rigidity.. Comptes Rendus Mathematique. 343:367–370. 2Wells_CRAS.pdf (113.36 KB)
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2006. Some fine properties of currents and applications to distributional Jacobians.. Proceedings of the Royal Society of Edinburgh: Section A. 132:815–842. Edin_2002.pdf (321.76 KB) errata_Edin.pdf (97.75 KB)
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2002. Some remarks on the distributional Jacobian.. Nonlinear Analysis: Theory, Methods & Applications. 53:1101–1114. NonLin.pdf (157.34 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. FeMiArch.pdf (395.42 KB)
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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. 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)
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2006. The existence of embedded minimal hypersurfaces. Journal of Differential Geometry. 95:355–388. JDG_final.pdf (318.43 KB) Errata_MinMax_sets.pdf (54.93 KB)
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2013. The h-principle and the equations of fluid dynamics.. Bulletin of the American Mathematical Society. 49:347–375. bull1376.pdf (426.95 KB) Errata_Euler_BullAMS.pdf (45.6 KB)
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2012. 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. 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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2003. Uniqueness of tangent cones for 2-dimensional almost minimizing currents. Communications on Pure and Applied Mathematics. 70:1402–1421. Tg_Cone_17.pdf (341.36 KB) Errata_Uniq_T_Cones.pdf (82.72 KB)
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2017. A direct approach to the anisotropic Plateau problem. Adv. Calc. Var.. 12(2):211-223. DeLDeRGhi_15apr17.pdf (316.98 KB)
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2019.