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2021. 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)
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2013. Simple proof of two-well rigidity.. Comptes Rendus Mathematique. 343:367–370. 2Wells_CRAS.pdf (113.36 KB)
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2006. 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)
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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)
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2004. An extension of the identity Det=det.. Comptes Rendus Mathematique. 348:973–976. Det_detCRAS.pdf (146.34 KB)
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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)
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2016. Ill-posedness for bounded admissible solutions of the 2-dimensional p–system.. Hyp08_delellis.pdf (151.58 KB)
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2021. The fine structure of the singular set of area-minimizing integral currents I: the singularity degree of flat singular points. main.pdf (657.89 KB)
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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)
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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)
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2018. The Nash-Kuiper Theorem and the Onsager conjecture. ICCM Not.. 8(1):17-26. Bejing-5.pdf (353.58 KB)
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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)
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2017. $C^{1,\alpha}$ isometric embeddings of polar caps. Adv. Math. 363 Isometric_Embeddings_of_Polar_Caps_2.pdf (400.92 KB)
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2020. 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)
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2013. A direct approach to Plateau's problem. Journal of the European Mathematical Society. 19:2219–2240. plateau25.pdf (336.69 KB)
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2017. Low-regularity solutions of the periodic Camassa-Holm equation.. Communications in Partial Differential Equations. 32:87–126. Camassa_Holm.pdf (281.99 KB)
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