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)
.
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)
.
2018. 
Minimal entropy conditions for Burgers equation.. Quarterly of Applied Mathematics. 62:687–700.
Min_Ent.pdf (300.62 KB)
.
2004. 
An extension of the identity Det=det.. Comptes Rendus Mathematique. 348:973–976.
Det_detCRAS.pdf (146.34 KB)
.
2010. 
The size of the singular set of area-minimizing currents. Surv. Differ. Geom.. 21:1-83.
survey_JDG_23.pdf (666.39 KB)
.
2016. .
0. 
Fractional Sobolev regularity for the Brouwer degree. Communications in Partial Differential Equations. 42:1510–1523.
Fractional_Sobolev_Regularity_For_The_Brouwer_Degree.pdf (470.22 KB)
.
2017. 
Regularity of area-minimizing currents III: blow-up. Annals of Mathematics. Second Series. 183:577–617.
blow_up_R_revised_22.pdf (478.98 KB)
.
2016. 
Ill-posedness for bounded admissible solutions of the 2-dimensional p–system..
Hyp08_delellis.pdf (151.58 KB)
.
0. .
2024. 
An Allard-type boundary regularity theorem for $2d$ minimizing currents at smooth curves with arbitrary multiplicity.
convex-boundary-1.pdf (972.75 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. .
2023. 
Geometric measure theory and differential inclusions. Ann. Fac. Sci. Toulouse Math. (6). 30
Inclusioni26.pdf (601.47 KB)
.
2021. 
Density lower bound estimates for local minimizers of the 2d Mumford-Shah energy. Manuscripta Mathematica. 42:215–232.
MS_DLB15.pdf (341.6 KB)
.
2013. 
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. 

$C^{1,\alpha}$ isometric embeddings of polar caps. Adv. Math. 363
Isometric_Embeddings_of_Polar_Caps_2.pdf (400.92 KB)
.
2020. 
The Nash-Kuiper Theorem and the Onsager conjecture. ICCM Not.. 8(1):17-26.
Bejing-5.pdf (353.58 KB)
.
2020. 
High dimensionality and h-principle in PDE. Bulletin (new series) of the American Mathematical Society. 54:247–282.
Nash_Bull_15.pdf (484.16 KB)
.
2017. 
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)
.
2013. 

A direct approach to Plateau's problem. Journal of the European Mathematical Society. 19:2219–2240.
plateau25.pdf (336.69 KB)
.
2017. 
Low-regularity solutions of the periodic Camassa-Holm equation.. Communications in Partial Differential Equations. 32:87–126.
Camassa_Holm.pdf (281.99 KB)
.
2007. 
A direct approach to the anisotropic Plateau problem. Adv. Calc. Var.. 12(2):211-223.
DeLDeRGhi_15apr17.pdf (316.98 KB)
.
2019. 
An example in the gradient theory of phase transitions.. ESAIM: Control, Optimisation and Calculus of Variations. 7:285–289(electronic).
COCV.pdf (117.75 KB)
.
2002. 
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. 