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2021. A quantitative compactness estimate for scalar conservation laws.. Communications on Pure and Applied Mathematics. 58:989–998. Fran_CPAM.pdf (101.52 KB)
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2023. 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)
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2018. Geometric measure theory and differential inclusions. Ann. Fac. Sci. Toulouse Math. (6). 30 Inclusioni26.pdf (601.47 KB)
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2021. Density lower bound estimates for local minimizers of the 2d Mumford-Shah energy. Manuscripta Mathematica. 42:215–232. MS_DLB15.pdf (341.6 KB)
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2013. $C^{1,\alpha}$ isometric embeddings of polar caps. Adv. Math. 363 Isometric_Embeddings_of_Polar_Caps_2.pdf (400.92 KB)
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2020. The Nash-Kuiper Theorem and the Onsager conjecture. ICCM Not.. 8(1):17-26. Bejing-5.pdf (353.58 KB)
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2020. 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)
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2017. 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. 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. 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. 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. 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. 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. 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. 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. 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)
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2018. The rectifiability of entropy measures in one space dimension.. Journal de Mathematiques Pures et Appliquees. 82:1343–1367. Tri_JMPA.pdf (222.23 KB) Errata_JMPA.pdf (116.41 KB)
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2003. A note on the Hausdorff dimension of the singular set for minimizers of the Mumford-Shah functional. Advances in Calculus of Variations. 7:539–545. StimaSing20130417.pdf (273.62 KB)
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