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2004. Weak-strong uniqueness for measure-valued Solutions. Communications in Mathematical Physics. 305:351–361. mvsolutions_published.pdf (189.61 KB) errata_mvsolutions.pdf (75.43 KB)
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2011. 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. On turbulence and geometry: from Nash to Onsager. Notices Amer. Math. Soc.. 66(5) notices_12.pdf (290.01 KB)
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2016. 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)
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2008. Surprising solutions to the isentropic Euler system of gas dynamics. DeLellis_hyp12_4.pdf (356.85 KB)
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0. 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. 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. 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. 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 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. The size of the singular set of area-minimizing currents. Surv. Differ. Geom.. 21:1-83. survey_JDG_23.pdf (666.39 KB)
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2016. Singular limit laminations, Morse index, and positive scalar curvature.. Topology. 44:25–45. TobyTop.pdf (358.38 KB)
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2005. Simple proof of two-well rigidity.. Comptes Rendus Mathematique. 343:367–370. 2Wells_CRAS.pdf (113.36 KB)
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2006. Sharp upper bounds for a variational problem with singular perturbation.. Mathematische Annalen. 338:119–146. Glim_MathAnn.pdf (456.79 KB)
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2007. SBV Regularity for Hamilton-Jacobi Equations in R^n. Archiv for Rational Mechanics and Analysis. 200:1003–1021. Ham_SBV.pdf (261.79 KB) Errata_SBV_Hm.pdf (63.89 KB)
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2011. A regularizing property of the 2d-eikonal equation. Communications in Partial Differential Equations. 40:1543–1557. Eikonal_deLellis_Ignat_final.pdf (222.4 KB)
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2015. Regularity theory for 2-dimensional almost minimal currents III: blowup. J. Differential Geom.. 116(1):125-185. BU_21.pdf (539.11 KB)
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2020. 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. 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. The regularity of minimal surfaces in higher codimension. Current developments in mathematics 2014. :153-229. survey_CDM_24.pdf (630.06 KB) errata-survey-CDM.pdf (94.34 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 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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