.
0.
A note on admissible solutions of 1D scalar conservation laws and 2D Hamilton-Jacobi equations.. Journal of Hyperbolic Differential Equations. 1:813–826.
laxsbv11.pdf (195.04 KB)
.
2004. 
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)
.
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)
.
2014. 
Notes on hyperbolic systems of conservation laws and transport equations.. Handbook of Differential Equations: Evolutionary Equations, Volume 3 .
hde51.pdf (749.93 KB)
Errata_HDE.pdf (111.37 KB)
.
2017. 

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)
.
2008. 
Onsager critical solutions of the forced Navier-Stokes equations.
anomalous_dissipation6.pdf (490.38 KB)
.
0. 
The Onsager theorem. Celebrating the 50th Anniversary of the Journal of Differential Geometry - Lectures given at the Geometry and Topology Conference at Harvard University in 2017. :71–102.
JDG_11.pdf (403.91 KB)
.
2018. 
Onsager's conjecture for admissible weak solutions. Communications on Pure and Applied Mathematics. 72:229–274.
Onsager101.pdf (528.14 KB)
Errata-Onsager.pdf (90.35 KB)
.
2019. 

Optimal rigidity estimates for nearly umbilical surfaces.. Journal of Differential Geometry. 69:75–110.
StJDG.pdf (379.65 KB)
Errata-umbilical.pdf (118.13 KB)
.
2005. 

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)
.
2003. 
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)
.
2008. 
Oscillatory solutions to transport equations.. Indiana University Mathematics Journal. 55:1–13.
Gian_Ind.pdf (221.59 KB)
.
2006. 
Partial regularity for mass-minimizing currents in Hilbert spaces.. Journal für die Reine und Angewandte Mathematik. 2018:99–144.
Hilbert_regularity.pdf (578.92 KB)
.
2018. 
Polyconvexity equals rank-one convexity for connected isotropic sets in $\Bbb M^{2\times 2}$.. Comptes Rendus Mathématique. Académie des Sciences. Paris. 337:233–238.
PolyCRAS.pdf (149.28 KB)
.
2003. 
Positive solutions of transport equations and classical nonuniqueness of characteristic curves. Arch. Ration. Mech. Anal. . 240(2):1055-1090.
nonunique-flow-20.pdf (398.69 KB)
.
2021. 
A quantitative compactness estimate for scalar conservation laws.. Communications on Pure and Applied Mathematics. 58:989–998.
Fran_CPAM.pdf (101.52 KB)
.
2005. 
Q-valued functions revisited. Memoirs of the American Mathematical Society. 211:1–85.
memoDeSp.pdf (1.17 MB)
Errata_memo.pdf (228.44 KB)
.
2011. 

Rectifiability and upper Minkowski bounds for singularities of harmonic Q-valued maps. Commentarii Mathematici Helvetici (CMH). 93:737–779.
Q-rect-45.pdf (380.77 KB)
Errata-Q-rect.pdf (58.05 KB)
.
2018. 

The rectifiability of entropy measures in one space dimension.. Journal de Mathematiques Pures et Appliquees. 82:1343–1367.
Tri_JMPA.pdf (222.23 KB)
Errata_JMPA.pdf (116.41 KB)
.
2003. 

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)
.
2008. 

Regular selections for multiple-valued functions.. Annali di Matematica Pura ed Applicata. 183:79–95.
multi_annali.pdf (287.75 KB)
.
2004. 
Regularity of area minimizing currents mod $p$. Geom. Funct. Anal.. 30((5)):1224-1336.
DLHMS_nonlinear_2.pdf (978.39 KB)
.
2020. 
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)
.
2014. 

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. 