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)
.
2016. 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)
.
2016. The size of the singular set of area-minimizing currents. Surv. Differ. Geom.. 21:1-83. survey_JDG_23.pdf (666.39 KB)
.
2016. Transport equation with integral terms. Calc. Var. Partial Differential Equations. 55(5):Art.128pp.17. DGS_05_03.pdf (347.31 KB)
.
2016. A direct approach to Plateau's problem. Journal of the European Mathematical Society. 19:2219–2240. plateau25.pdf (336.69 KB)
.
2017. Fractional Sobolev regularity for the Brouwer degree. Communications in Partial Differential Equations. 42:1510–1523. Fractional_Sobolev_Regularity_For_The_Brouwer_Degree.pdf (470.22 KB)
.
2017. High dimensionality and h-principle in PDE. Bulletin (new series) of the American Mathematical Society. 54:247–282. Nash_Bull_15.pdf (484.16 KB)
.
2017. Il teorema di Schlaefli: un invito alla quarta dimensione. Il Volterriano. 13 Schlaefli_43.pdf (467.71 KB)
.
2017. 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)
.
2017. Regularity theory for 2-dimensional almost minimal currents II: branched center manifold. Annals of PDE. 3:1–85. CM_52.pdf (679.77 KB)
.
2017. 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. Allard's interior regularity theorem: an invitation to stationary varifolds. Nonlinear analysis in geometry and applied mathematics.. 2:23-49. allard_40.pdf (382.92 KB) Allard-errata.pdf (99.62 KB)
.
2018. Boundary regularity of mass-minimizing integral currents and a question of Almgren. Matrix Annals 2017. :193-205. matrix_14.pdf (152.76 KB) Errata-bordo-matrix.pdf (52 KB)
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2018. 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. Min-max theory for minimal hypersurfaces with boundary. Annales de l'Institut Fourier. 68(5):1909–1986. Min_Max_80.pdf (644.21 KB)
.
2018. A Nash-Kuiper theorem for $C^{1,\frac15-\delta}$ immersions of surfaces in $3$ dimensions. Revista matemática iberoamericana. 34:1119–1152. Nash_1.2_21.pdf (426.05 KB)
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2018. 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)
.
2018. Partial regularity for mass-minimizing currents in Hilbert spaces.. Journal für die Reine und Angewandte Mathematik. 2018:99–144. Hilbert_regularity.pdf (578.92 KB)
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2018. 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)
.
2018. 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. A direct approach to the anisotropic Plateau problem. Adv. Calc. Var.. 12(2):211-223. DeLDeRGhi_15apr17.pdf (316.98 KB)
.
2019. The masterpieces of John Forbes Nash Jr.. The Abel Prize 2013-2017. Nash_Abel_75.pdf (665.75 KB)
.
2019. Min-max embedded geodesic lines on asymptotically conical surfaces. J. Differential Geom.. 112(3):411-445. Geodesic_lines.pdf (600.18 KB)
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2019. Onsager's conjecture for admissible weak solutions. Communications on Pure and Applied Mathematics. 72:229–274. Onsager101.pdf (528.14 KB) Errata-Onsager.pdf (90.35 KB)
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2019. On turbulence and geometry: from Nash to Onsager. Notices Amer. Math. Soc.. 66(5) notices_12.pdf (290.01 KB)
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2019.