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2015. Anomalous dissipation for 1/5-Hoelder Euler flows. Annals of Mathematics. Second Series. 128:127–172.
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0. Transporting microstructure and dissipative Euler flows.
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2019. Min-max embedded geodesic lines on asymptotically conical surfaces. J. Differential Geom.. 112(3):411-445.
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2026. Level sets of fractional Sobolev functions.
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2015. Global ill-posedness of the isentropic system of gas dynamics. Communications on Pure and Applied Mathematics. 68:1157–1190.
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0. Surprising solutions to the isentropic Euler system of gas dynamics.
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0. Dissipative continuous Euler flows in two and three dimensions.
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2005. Singular limit laminations, Morse index, and positive scalar curvature.. Topology. 44:25–45.
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2003. The min-max construction of minimal surfaces.. Surveys in differential geometry, Vol.VIII (Boston MA, 2002). :75–107.
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2008. Three circles theorems for Schrödinger operators on cylindrical ends and geometric applications.. Communications on Pure and Applied Mathematics. 61:1540–1602.
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2018. Ill-posedness of Leray solutions for the ipodissipative Navier–Stokes equations. Communications in Mathematical Physics. 362(2):659–688.
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2020. The generalized Caffarelli-Kohn-Nirenberg Theorem for the hyperdissipative Navier-Stokes system. Comm. Pure Appl. Math.. 73(3):609-663.
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2003. 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.
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2010. h-principle and rigidity for $C^{1,\alpha}$ isometric embeddings. Proceedings from the Abel Symposium 2010. :83–116.
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2003. 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.
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2007. Sharp upper bounds for a variational problem with singular perturbation.. Mathematische Annalen. 338:119–146.
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2008. Estimates and regularity results for the DiPerna-Lions flow.. Crelle. 616:15–46.
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2006. Oscillatory solutions to transport equations.. Indiana University Mathematics Journal. 55:1–13.
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2017. Notes on hyperbolic systems of conservation laws and transport equations.. Handbook of Differential Equations: Evolutionary Equations, Volume 3 .
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2022. The regularity theory for the area functional (in geometric measure theory). ICM International Congress of Mathematicians. Vol. 2 Plenary lectures
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2010. Hyperbolic equations and SBV functions. Journées équations aux dérivées partielles. :1–10.
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2023. The fine structure of the singular set of area-minimizing integral currents III: Frequency 1 flat singular points and H^{m-2}-a.e uniqueness of tangent cones.
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2002. Some fine properties of currents and applications to distributional Jacobians.. Proceedings of the Royal Society of Edinburgh: Section A. 132:815–842.
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2018. The Onsager theorem. Celebrating the 50th Anniversary of the Journal of Differential Geometry - Lectures given at the Geometry and Topology Conference at Harvard University in 2017. :71–102.
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2008. A note on Alberti's rank-one theorem.. Transport Equations and Multi-D Hyperbolic Conservation Laws. 5:61–74.
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