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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. 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. Singular limit laminations, Morse index, and positive scalar curvature.. Topology. 44:25–45. TobyTop.pdf (358.38 KB)
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2005. Ill-posedness of Leray solutions for the ipodissipative Navier–Stokes equations. Communications in Mathematical Physics. 362(2):659–688. Cattivo_frazionario_16.pdf (427.09 KB)
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2018. The generalized Caffarelli-Kohn-Nirenberg Theorem for the hyperdissipative Navier-Stokes system. Comm. Pure Appl. Math.. 73(3):609-663. HNS_26.pdf (459.49 KB)
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2020. 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. 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. 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. h-principle and rigidity for $C^{1,\alpha}$ isometric embeddings. Proceedings from the Abel Symposium 2010. :83–116. iso60.pdf (233.93 KB) Errata-iso.pdf (174.62 KB)
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2010. Oscillatory solutions to transport equations.. Indiana University Mathematics Journal. 55:1–13. Gian_Ind.pdf (221.59 KB)
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2006. Estimates and regularity results for the DiPerna-Lions flow.. Crelle. 616:15–46. Estimates_ODEs.pdf (298.06 KB)
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2008. 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. Almgren's center manifold in a simple setting. Harmonic Analysis and Applications. IAS/Park City Mathematics Series. 27 PCMILectures_DeLellis_15.pdf (327.98 KB) Errata_PCMI.pdf (26.04 KB)
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2020. 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. Continuous dissipative Euler flows and a conjecture of Onsager.. European Congress of Mathematics. de_lellis_proc_ECM_4.pdf (382.6 KB) Errata_proc_ECM.pdf (36.71 KB)
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2013. On Non-uniqueness of Hoelder continuous globally dissipative Euler flows. Anal. PDE. 15 nuqE21.pdf (525.33 KB)
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2022. 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)
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2010. 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. 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. John Nash's nonlinear iteration. contr_vol_Nash_11.pdf (419.73 KB)
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0. Interaction of fractures in tensile bars with non-local spatial dependence.. Journal of Elasticity. 65:1–31(2002). DR.pdf (235.27 KB)
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2001. 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 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. 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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