De Lellis C., Focardi M., Ruffini B..  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)

De Lellis C., Spadaro E..  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 (84.88 KB)

De Lellis C., L. Székelyhidi Jr..  2013.  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)

De Lellis C., Focardi M..  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)

De Lellis C., L. Székelyhidi Jr..  2013.  Dissipative continuous Euler flows. Inventiones Mathematicae. 193:377–407. continuous_new12.pdf (374.68 KB)

De Lellis C., Tasnady D..  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)

De Lellis C., Focardi M..  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)

De Lellis C..  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)

De Lellis C., Topping P.M.  2012.  Almost Schur Lemma. Calculus of Variations and Partial Differential Equations. 43:347–354. almost_schur.pdf (375.96 KB)

De Lellis C., L. Székelyhidi Jr..  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)

De Lellis C., Spadaro E..  2011.  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)

De Lellis C., Robyr R..  2011.  Hamilton-Jacobi equations with obstacles. Archive for Rational Mechanics and Analysis. 200:1051–1073. Obs_Ham.pdf (295.72 KB)

De Lellis C., Focardi M., Spadaro E..  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)

De Lellis C., Spadaro E..  2011.  Q-valued functions revisited. Memoirs of the American Mathematical Society. 211:1–85. memoDeSp.pdf (1.17 MB) Errata_memo.pdf (228.44 KB)

Bianchini S., De Lellis C., Robyr R..  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)

Brenier Y., De Lellis C., L. Székelyhidi Jr..  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)

De Lellis C., L. Székelyhidi Jr..  2010.  On admissibility criteria for weak solutions of the Euler equations.. Archiv for Rational Mechanics and Analysis. 195:225–260. EulerARMA.pdf (413.39 KB) Errata_Euler_ARMA.pdf (32.46 KB)

De Lellis C..  2010.  Almgren's Q-valued functions revisited. Proceedings of the International Congress of Mathematicians Hyderabad. :1–24. icm2010_final_version.pdf (265.36 KB)

De Lellis C., Ghiraldin F..  2010.  An extension of the identity Det=det.. Comptes Rendus Mathematique. 348:973–976. Det_detCRAS.pdf (146.34 KB)

De Lellis C., Pellandini F..  2010.  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)

Conti S., De Lellis C., L. Székelyhidi Jr..  2010.  h-principle and rigidity for $C^{1,\alpha}$ isometric embeddings. Proceedings from the Abel Symposium 2010. :83–116. iso60.pdf (233.93 KB) Errata-iso.pdf (174.62 KB)

De Lellis C..  2010.  Hyperbolic equations and SBV functions. Journées équations aux dérivées partielles. :1–10. JEDP_2010_A6_0.pdf (514.5 KB)

Bressan A., De Lellis C..  2009.  Existence of optimal strategies for a fire confinement problem.. Communications on Pure and Applied Mathematics. 62:789–830. FireCPAM.pdf (364.62 KB)

Crippa G., De Lellis C..  2008.  Estimates and regularity results for the DiPerna-Lions flow.. Crelle. 616:15–46. Estimates_ODEs.pdf (298.06 KB)

De Lellis C..  2008.  Le equazioni di Eulero dal punto di vista delle inclusioni differenziali (Italian). Boll. Unione Mat. Ital. (9). 1(3):873-879. De_Lellis.pdf (212.78 KB)