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Three circles theorems for Schrödinger operators on cylindrical ends and geometric applications.. Communications on Pure and Applied Mathematics. 61:1540–1602. 3CirclesCPAM.pdf (462.46 KB)
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2008. Singular limit laminations, Morse index, and positive scalar curvature.. Topology. 44:25–45. TobyTop.pdf (358.38 KB)
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2005. The min-max construction of minimal surfaces.. Surveys in differential geometry, Vol.VIII (Boston MA, 2002). :75–107. MinMax92.pdf (439.52 KB) Errata_MinMax_survey.pdf (180.52 KB)
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2003. Ill-posedness of Leray solutions for the ipodissipative Navier–Stokes equations. Communications in Mathematical Physics. 362(2):659–688. Cattivo_frazionario_16.pdf (427.09 KB)
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2018. The generalized Caffarelli-Kohn-Nirenberg Theorem for the hyperdissipative Navier-Stokes system. Comm. Pure Appl. Math.. 73(3):609-663. HNS_26.pdf (459.49 KB)
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2020. Some remarks on the theory of elasticity for compressible Neohookean materials.. Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V. 2:521–549. Neo_SNS.pdf (208.49 KB) Errata_SNS.pdf (121.58 KB)
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2003. Sharp upper bounds for a variational problem with singular perturbation.. Mathematische Annalen. 338:119–146. Glim_MathAnn.pdf (456.79 KB)
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2007. 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)
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2003. h-principle and rigidity for $C^{1,\alpha}$ isometric embeddings. Proceedings from the Abel Symposium 2010. :83–116. iso60.pdf (233.93 KB) Errata-iso.pdf (174.62 KB)
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2010. Oscillatory solutions to transport equations.. Indiana University Mathematics Journal. 55:1–13. Gian_Ind.pdf (221.59 KB)
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2006. Estimates and regularity results for the DiPerna-Lions flow.. Crelle. 616:15–46. Estimates_ODEs.pdf (298.06 KB)
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2008. Simple proof of two-well rigidity.. Comptes Rendus Mathematique. 343:367–370. 2Wells_CRAS.pdf (113.36 KB)
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2006. Area minimizing hypersurfaces modulo $p$: a geometric free-boundary problem. Modp_odd_moduli.pdf (867.85 KB)
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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. 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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2018. Minimal entropy conditions for Burgers equation.. Quarterly of Applied Mathematics. 62:687–700. Min_Ent.pdf (300.62 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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2010. The size of the singular set of area-minimizing currents. Surv. Differ. Geom.. 21:1-83. survey_JDG_23.pdf (666.39 KB)
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2016. 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. .
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)
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