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. 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. $C^{1,\alpha}$ isometric embeddings of polar caps. Adv. Math. 363 Isometric_Embeddings_of_Polar_Caps_2.pdf (400.92 KB)
.
2020. Low-regularity solutions of the periodic Camassa-Holm equation.. Communications in Partial Differential Equations. 32:87–126. Camassa_Holm.pdf (281.99 KB)
.
2007. 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. 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. 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.