A note on Alberti's rank-one theorem.. Transport Equations and Multi-D Hyperbolic Conservation Laws. 5:61–74. giovanni23.pdf (186.07 KB) Errata_R1.pdf (85.14 KB)
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2008. 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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2014. 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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2005. 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. Almgren's Q-valued functions revisited. Proceedings of the International Congress of Mathematicians Hyderabad. :1–24. icm2010_final_version.pdf (265.36 KB)
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2010. Almost Schur Lemma. Calculus of Variations and Partial Differential Equations. 43:347–354. almost_schur.pdf (375.96 KB)
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2012. 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. An extension of the identity Det=det.. Comptes Rendus Mathematique. 348:973–976. Det_detCRAS.pdf (146.34 KB)
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2010. Blowup of the BV norm in the multidimensional Keyfitz and Kranzer system.. Duke Mathematical Journal. 127:313–339. KK_blowup.pdf (215.66 KB)
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2005. Center manifold: a case study. Discrete and Continuous Dynamical Systems - Series A. 31:1249–1272. DeLellis_Spadaro.pdf (482.25 KB) Errata_CM_Case_study.pdf (103.47 KB)
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2011. 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. Dissipative continuous Euler flows. Inventiones Mathematicae. 193:377–407. continuous_new12.pdf (374.68 KB)
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2013. 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)
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2017. 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. Hamilton-Jacobi equations with obstacles. Archive for Rational Mechanics and Analysis. 200:1051–1073. Obs_Ham.pdf (295.72 KB)
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2011. 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. Higher integrability of the gradient for minimizers of the 2d Mumford-Shah energ. Journal de Mathématiques Pures et Appliquées. 100:391–409. MS_Higher40.pdf (422.95 KB)
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2013. 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. 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. 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. Lower semicontinuous functionals for Almgren's multiple valued functions. Annales Academiae Scientiarum Fennicae. Mathematica. 36:393–410. DL_Fo_Sp.pdf (544.99 KB)
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2011. 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. Minimal entropy conditions for Burgers equation.. Quarterly of Applied Mathematics. 62:687–700. Min_Ent.pdf (300.62 KB)
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2004. 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. ODEs with Sobolev coefficients: the Eulerian and the Lagrangian approach.. Discrete and Continuous Dynamical Systems. Series S. 1:405–426. Eul_vs_Lag.pdf (277.64 KB)
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2008.