] .
2008. 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)
giovanni23.pdf (186.07 KB) Errata_R1.pdf (85.14 KB).
2008. 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)
Eul_vs_Lag.pdf (277.64 KB).
2008. 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)
Exp.972.C.DeLellis.pdf (248.93 KB).
2008. Rectifiable sets, densities and tangent measures. Zurich Lectures in Advanced Mathematics. 7 Delellis_note136_corrected.pdf (708.89 KB) Errata_libro_ret.pdf (243.54 KB)
Delellis_note136_corrected.pdf (708.89 KB) Errata_libro_ret.pdf (243.54 KB).
2008. Three circles theorems for Schrödinger operators on cylindrical ends and geometric applications.. Communications on Pure and Applied Mathematics. 61:1540–1602. 3CirclesCPAM.pdf (462.46 KB)
3CirclesCPAM.pdf (462.46 KB).
2009. Existence of optimal strategies for a fire confinement problem.. Communications on Pure and Applied Mathematics. 62:789–830. FireCPAM.pdf (364.62 KB)
FireCPAM.pdf (364.62 KB).
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)
EulerARMA.pdf (413.39 KB) Errata_Euler_ARMA.pdf (32.46 KB).
2010. Almgren's Q-valued functions revisited. Proceedings of the International Congress of Mathematicians Hyderabad. :1–24. icm2010_final_version.pdf (265.36 KB)
icm2010_final_version.pdf (265.36 KB).
2010. An extension of the identity Det=det.. Comptes Rendus Mathematique. 348:973–976. Det_detCRAS.pdf (146.34 KB)
Det_detCRAS.pdf (146.34 KB).
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)
genus73.pdf (472.29 KB).
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)
iso60.pdf (233.93 KB) Errata-iso.pdf (174.62 KB).
2010. Hyperbolic equations and SBV functions. Journées équations aux dérivées partielles. :1–10. JEDP_2010_A6_0.pdf (514.5 KB)
JEDP_2010_A6_0.pdf (514.5 KB).
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)
DeLellis_Spadaro.pdf (482.25 KB) Errata_CM_Case_study.pdf (103.47 KB).
2011. Hamilton-Jacobi equations with obstacles. Archive for Rational Mechanics and Analysis. 200:1051–1073. Obs_Ham.pdf (295.72 KB)
Obs_Ham.pdf (295.72 KB).
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)
DL_Fo_Sp.pdf (544.99 KB).
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)
memoDeSp.pdf (1.17 MB) Errata_memo.pdf (228.44 KB).
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)
Ham_SBV.pdf (261.79 KB) Errata_SBV_Hm.pdf (63.89 KB).
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)
mvsolutions_published.pdf (189.61 KB) errata_mvsolutions.pdf (75.43 KB).
2012. Almost Schur Lemma. Calculus of Variations and Partial Differential Equations. 43:347–354. almost_schur.pdf (375.96 KB)
almost_schur.pdf (375.96 KB).
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)
bull1376.pdf (426.95 KB) Errata_Euler_BullAMS.pdf (45.6 KB).
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_proc_ECM_4.pdf (382.6 KB) Errata_proc_ECM.pdf (36.71 KB).
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)
MS_DLB15.pdf (341.6 KB).
2013. Dissipative continuous Euler flows. Inventiones Mathematicae. 193:377–407. continuous_new12.pdf (374.68 KB)
continuous_new12.pdf (374.68 KB).
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)
JDG_final.pdf (318.43 KB) Errata_MinMax_sets.pdf (54.93 KB).
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)
MS_Higher40.pdf (422.95 KB)