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2023. 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)
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2016. 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. 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. Continuous dissipative Euler flows and a conjecture of Onsager.. European Congress of Mathematics. de_lellis_proc_ECM_4.pdf (382.6 KB) Errata_proc_ECM.pdf (36.71 KB)
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2013. On Non-uniqueness of Hoelder continuous globally dissipative Euler flows. Anal. PDE. 15 nuqE21.pdf (525.33 KB)
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2022. 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. Structure of entropy solutions for multi-dimensional scalar conservation laws.. Archiv for Rational Mechanics and Analysis. 170:137–184. FeMiArch.pdf (395.42 KB)
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2003. John Nash's nonlinear iteration. contr_vol_Nash_11.pdf (419.73 KB)
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0. On the optimality of velocity averaging lemmas.. Annales de l'Institut Henri Poincaré (C) Analyse Non Linéaire. 20:1075–1085. OptAnn.pdf (142.3 KB)
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2003. On the boundary behavior of mass-minimizing integral currents. To appear in Memoirs of the American Mathematical Society. borda_memoirs_3.pdf (1.24 MB) Errata-bordo.pdf (51.68 KB)
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0. 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. 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. Rectifiable sets, densities and tangent measures. Zurich Lectures in Advanced Mathematics. 7 Delellis_note136_corrected.pdf (708.89 KB) Errata_libro.pdf (163.2 KB)
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2008. The $h$-principle and Onsager's conjecture. Eur. Math. Soc. Newsl. 95:19-24. DeLellis_Szekelyhidi_ems_7.pdf (108.78 KB)
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2015. Area minimizing currents mod $2Q$: linear regularity theory. Comm. Pure Appl. Math.. 75 DLHMS_linear_2.pdf (573.86 KB)
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2022. Dissipative continuous Euler flows. Inventiones Mathematicae. 193:377–407. continuous_new12.pdf (374.68 KB)
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2013. Area minimizing hypersurfaces modulo $p$: a geometric free-boundary problem. Modp_odd_moduli.pdf (867.85 KB)
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2021. 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. Simple proof of two-well rigidity.. Comptes Rendus Mathematique. 343:367–370. 2Wells_CRAS.pdf (113.36 KB)
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2006. Minimal entropy conditions for Burgers equation.. Quarterly of Applied Mathematics. 62:687–700. Min_Ent.pdf (300.62 KB)
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2004. The h-principle and the equations of fluid dynamics.. Bulletin of the American Mathematical Society. 49:347–375. bull1376.pdf (426.95 KB) Errata_Euler_BullAMS.pdf (45.6 KB)
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2012. 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 fine structure of the singular set of area-minimizing integral currents II: rectifiability of flat singular points with singularity degree larger than $1$. main.pdf (618.28 KB)
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2023. The size of the singular set of area-minimizing currents. Surv. Differ. Geom.. 21:1-83. survey_JDG_23.pdf (666.39 KB)
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