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Singular limit laminations, Morse index, and positive scalar curvature.. Topology. 44:25–45. TobyTop.pdf (358.38 KB)
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2005. 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. 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. 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. 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. Estimates and regularity results for the DiPerna-Lions flow.. Crelle. 616:15–46. Estimates_ODEs.pdf (298.06 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. 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. A direct approach to Plateau's problem. Journal of the European Mathematical Society. 19:2219–2240. plateau25.pdf (336.69 KB)
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2017. 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. 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. An example in the gradient theory of phase transitions.. ESAIM: Control, Optimisation and Calculus of Variations. 7:285–289(electronic). COCV.pdf (117.75 KB)
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2002. 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. 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. Dissipative Euler Flows and Onsager's Conjecture. J. Eur. Math. Soc. (JEMS). 16(7):1467-1505. hoelder_final.pdf (383.42 KB) Errata_hoelder.pdf (54.42 KB)
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2014. .
2024. 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. Some remarks on the distributional Jacobian.. Nonlinear Analysis: Theory, Methods & Applications. 53:1101–1114. NonLin.pdf (157.34 KB)
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2003. Uniqueness of boundary tangent cones for $2$-dimensional area-minimizing currents. Nonlinear Anal. . 230 UniqTgConesBoundaryCSS1.pdf (326.56 KB)
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2023. Il teorema di Liouville ovvero perche' ``non esiste'' la primitiva di exp(x^2). Il Volterriano. 11:33–61. Liouville_finale.pdf (366.16 KB) Errata_Liouville.pdf (99.15 KB)
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2013.