Minimal entropy conditions for Burgers equation.. Quarterly of Applied Mathematics. 62:687–700. Min_Ent.pdf (300.62 KB)
.
2004. The size of the singular set of area-minimizing currents. Surv. Differ. Geom.. 21:1-83. survey_JDG_23.pdf (666.39 KB)
.
2016. An extension of the identity Det=det.. Comptes Rendus Mathematique. 348:973–976. Det_detCRAS.pdf (146.34 KB)
.
2010. Higher codimension area-minimizing currents mod(q): structure of singularities near (m−1)-invariant cones. Mod-q-higher-decay.pdf (802.7 KB)
.
2024. 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. .
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. Ill-posedness for bounded admissible solutions of the 2-dimensional p–system.. Hyp08_delellis.pdf (151.58 KB)
.
0. 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. 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. 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. $C^{1,\alpha}$ 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. 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. Regularity theory for 2-dimensional almost minimal currents III: blowup. J. Differential Geom.. 116(1):125-185. BU_21.pdf (539.11 KB)
.
2020. 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. .
2023.