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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. 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. $2$-dimensional almost area minimizing currents. Boll. Unione Mat. Ital.. 9(1):3–67. survey_BUMI_24.pdf (636.4 KB)
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2016. The fine structure of the singular set of area-minimizing integral currents III: Frequency 1 flat singular points and H^{m-2}-a.e uniqueness of tangent cones. Singularity_degree_1-arXiv-04-2024.pdf (1.68 MB)
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2023. Almost Schur Lemma. Calculus of Variations and Partial Differential Equations. 43:347–354. almost_schur.pdf (375.96 KB)
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2012. 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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2022. Hyperbolic equations and SBV functions. Journées équations aux dérivées partielles. :1–10. JEDP_2010_A6_0.pdf (514.5 KB)
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2010. 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. 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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2008. Il teorema di Schlaefli: un invito alla quarta dimensione. Il Volterriano. 13 Schlaefli_43.pdf (467.71 KB)
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