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. 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. 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. Q-valued functions revisited. Memoirs of the American Mathematical Society. 211:1–85. memoDeSp.pdf (1.17 MB) Errata_memo2.pdf (229.61 KB)
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2011. SBV Regularity for Hamilton-Jacobi Equations in R^n. Archiv for Rational Mechanics and Analysis. 200:1003–1021. Ham_SBV.pdf (261.79 KB) Errata_SBV_Hm.pdf (63.89 KB)
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2011. Weak-strong uniqueness for measure-valued Solutions. Communications in Mathematical Physics. 305:351–361. mvsolutions_published.pdf (189.61 KB) errata_mvsolutions.pdf (75.43 KB)
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2011. Almost Schur Lemma. Calculus of Variations and Partial Differential Equations. 43:347–354. almost_schur.pdf (375.96 KB)
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2012. 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. 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. 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. 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. 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. 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. 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. 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. 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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2014. Anomalous dissipation for 1/5-Hoelder Euler flows. Annals of Mathematics. Second Series. 128:127–172. onefifth_75.pdf (631.1 KB) Errata_onefifth.pdf (78.93 KB)
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2015. Global ill-posedness of the isentropic system of gas dynamics. Communications on Pure and Applied Mathematics. 68:1157–1190. Riemann_15.pdf (393.84 KB)
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2015. 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. Multiple valued functions and integral currents. Ann. Sc. Norm. Super. Pisa Cl. Sci. (5). 14(4):1239-1269. complementi_R.pdf (427.54 KB)
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2015. 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. $2$-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. Dissipative Euler flows with Onsager-critical spatial regularity. Comm. Pure Appl. Math. . 69(2):229-274. L1_onethird_65.pdf (525.74 KB)
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2016. 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.