C. De Lellis: Energie di Linea per Campi di Gradienti (Degree Thesis) 1999 L. Ambrosio, C. De Lellis, C. Mantegazza: Line Energies for Gradient Vector Fields in the Plane Calc. Var. Vol. 9, p. 327-355, 1999 C. De Lellis, C. R. Grisanti, P. Tilli: Regular selection for multiple valued functions Annali di Matematica Pura ed Applicata Vol. 183, p. 79-95, 2000 C. De Lellis: Some fine properties of currents and applications to distributional jacobians Proc. Roy. Soc. of Ed. A Vol. 132A, p. 815-842, 2000 C. De Lellis, G. Royer Carfagni: Interaction of fractures in tensile bars with non local spatial displacement Journal of Elasticity Vol. 65, p. 1-31, 2001 S. Conti, C. De Lellis: Some remarks on the theory of elasticity for compressible Neohookean materials Ann. Scuola Norm. Sup. Cl. Sci. (5) Vol. II (2003), p. 521-549, 2001 C. De Lellis, M. Westdickenberg: On the Optimality of Velocity Averaging Lemmas Ann. Inst. Henry Poincaré Analise Non linéaire Vol. 20, p. 1075-1085, 2002 C. De Lellis: On the Jacobian of weakly differentiable maps (Ph.D. Thesis) 2002 C. De Lellis: An example in the gradient theory of phase transitions Control, Optimisation and Calculus of Variations Vol. 7, N. 12, p. 285-289, 2002 C. De Lellis, F. Otto, M. Westdickenberg: Structure of entropy solutions for multi--dimensional conservation laws Archive for Rational Mechanics and Analysis Vol. 170, p. 137-184, 2003 L. Ambrosio, C. De Lellis: Existence of solutions for a class of hyperbolic systems of conservation laws in several space dimensions International Mathematics Research Notices N. 41, p. 2205-2220, 2003 C. De Lellis: Some remarks on the distributional Jacobian Nonlinear Analysis: Theory, Methods and Applications Vol. 53, p. 1101-1114, 2003 C. De Lellis, F. Otto: Structure of entropy solutions to the eikonal equation J. Eur. Math. Soc. Vol. 5, N. 2, p. 107-145, 2003 C. De Lellis, T. Rivičre: Concentration estimates for entropy measures Journal de Mathématiques Pures et Appliquées Vol. 82, p. 1343-1367, 2003 C. De Lellis, S. Müller: Sharp rigidity estimates for nearly umbilical surfaces Journal of Differential Geometry Vol. 69, N. 75--110, 2003 S. Conti, C. De Lellis, S. Mueller, M. Romeo: Polyconvexity equals rank-one convexity for connected isotropic sets in $M^{2\times 2}$ C. R. Math. Acad. Sci. Paris Vol. 337, N. 4, p. 233-238, 2003 C. De Lellis, Tobias H. Colding: The min--max construction of minimal surfaces Surveys in differential geometry Vol. 8, p. 75-107, 2003 C. De Lellis, Tobias H. Colding: Singular limit laminations, Morse index, and positive scalar curvature Topology Vol. 44, N. 1, p. 25-45, 2003 L. Ambrosio, F. Bouchut, C. De Lellis: Well--posedness for a class of hyperbolic systems of conservation laws in several space dimensions Comm. Partial Differential Equations Vol. 29, N. 9--10, p. 1635-1671, 2004 C. De Lellis, F. Otto, M. Westdickenberg: Minimal entropy conditions for Burgers equation Quarterly of Applied Mathematics Vol. 62, N. 4, p. 687-700, 2004 C. De Lellis, F. Golse: A quantitative compactness estimate for scalar conservation laws Comm. Pure Appl. Math. Vol. 58, N. 989--998, 2004 C. De Lellis: Blow--up of the BV norm in the multidimensional Keyfitz and Kranzer system Duke Math. J. Vol. 127, N. 2, p. 313-339, 2004 L. Ambrosio, C. De Lellis: A note on admissible solutions of 1d scalar conservation laws and 2d Hamilton-Jacobi equations J. Hyperbolic Diff. Equ. Vol. 1, N. 4, p. 813-826, 2004 C. De Lellis, L. J. Székelyhidi: Simple proof of two-well rigidity C. R. Math. Acad. Sci. Paris Vol. 343, N. 5, p. 367-370, 2006 C. De Lellis: Notes on hyperbolic systems of conservation laws and transport equations Handbook of Differential Equations: Evolutionary Differential Equations Vol. III, p. 277-383, 2006 G. Crippa, C. De Lellis: Oscillatory solutions to transport equations Indiana Univ. Math. J. Vol. 55, N. 1, p. 1-13, 2006 C. De Lellis, S. Müller: A $C^0$--estimate for nearly umbilical surfaces. Calc. Var. Partial Differential Equations Vol. 26, N. 3, p. 283-296, 2006 C. De Lellis: Ordinary differential equations with rough coefficients and the renormalization theorem of Ambrosio (d'aprčs Ambrosio, DiPerna, Lions) Séminaire Bourbaki. Vol. 2006/2007. Astérisque No. 317 p. 175-203, 2007 S. Conti, C. De Lellis: Sharp upper bounds for a variational problem with singular perturbation Math. Ann. Vol. 338, N. 1, p. 119-146, 2007 C. De Lellis, T. Kappeler, P. Topalov: Low--regularity solutions of the Camass--Holm equation Comm. Partial Differential Equations Vol. 32, N. 1-3, p. 87-126, 2007 L. Ambrosio, C. De Lellis, J. Malý: On the chain rule for the divergence of BV like vector fields: applications, partial results, open problems Perspective in nonlinear partial differential equations p. 31-67, 2007 T. Colding, C. De Lellis, W. P. I. I. Minicozzi: Three circles theorems for Schrödinger operators on cylindrical ends and geometric applications Comm. Pure App. Math. Vol. 61, p. 1540-1602, 2008 G. Crippa, C. De Lellis: Estimates and regularity results for the DiPerna--Lions flow J. Reine Angew. Math. N. 616, p. 15-46, 2008 C. De Lellis: Lecture notes on rectifiable sets, densities, and tangent measures Zurich Lectures in Advanced Mathematics. European Mathematical Society (EMS), Zürich. (Lecture notes) 2008 C. De Lellis: A note on Alberti's Rank--one Theorem Transport equations and multi-D hyperbolic conservation laws, 61-74, Lect. Notes Unione Mat. Ital., 5, Springer, Berlin.. 2008 G. Crippa, C. De Lellis: Regularity and compactness for the DiPerna--Lions flow Hyperbolic Problems: Theory, Numerics, Applications p. 423-430, 2008 C. De Lellis, L. J. Székelyhidi: The Euler equation as a differential inclusion Ann. of Math. Vol. 170, p. 1417-1436, 2009 A. Bressan, C. De Lellis: Existence of optimal strategies for a fire confinement problem Comm. Pure Appl. Math. Vol. 62, N. 6, p. 789-830, 2009 C. De Lellis: Ill-posedness for bounded admissible solutions of the $2$-dimensional $p$-system Hyperbolic problems: theory, numerics and applications. Vol. 67 of Proc. Sympos. Appl. Math., p. 269-278, 2009 C. De Lellis, L. J. Székelyhidi: On admissibility criteria for weak solutions of the Euler equations Arch. Ration. Mech. Anal. Vol. 195, p. 225-260, 2010 C. De Lellis: Almgren's $Q$-valued functions revisited Proceedings of the International Congress of Mathematicians. Vol. III, p. 1910-1933, 2010 C. De Lellis, F. Ghiraldin: An extension of Müller's identity $\mathbf{Det} = \mathbf{det}$ C. R. Math. Acad. Sci. Paris Vol. 348, N. 17-18, p. 973-976, 2010 C. De Lellis, F. Pellandini: Genus bounds for minimal surfaces arising from min-max constructions J. Reine Angew. Math. Vol. 644, p. 47-99, 2010 C. De Lellis, M. Focardi, E. Spadaro: Lower semicontinuous functionals for Almgren's multiple valued functions Annales Academiae Scientiarum Fennicae Mathematica Vol. 36, p. 1-18, 2011 Y. Brenier, C. De Lellis, L. J. Székelyhidi: Weak-strong uniqueness for measure-valued Solutions Comm. Math. Phys. Vol. 305, N. 2, p. 351-361, 2011 C. De Lellis, R. Robyr: Hamilton-Jacobi equations with obstacles Arch. Ration. Mech. Anal. Vol. 200, N. 3, p. 1051-1073, 2011 S. Bianchini, C. De Lellis, R. Robyr: SBV regularity for Hamilton-Jacobi equations in R^n Arch. Ration. Mech. Anal. Vol. 200, N. 3, p. 1003-1021, 2011 C. De Lellis, E. Spadaro: Center manifold: a case study Discrete Contin. Dyn. Syst. (]) Vol. 31, N. 4, p. 1249-1272, 2011 C. De Lellis, Emanuele Nunzio Spadaro: Q-valued functions revisited Memoirs of the American Mathematical Society Vol. 991, 2011 A. Choffrut, C. De Lellis, L. J. László Jr Székelyhidi: Dissipative continuous Euler flows in two and three dimensions (Preprint) 2012 C. De Lellis, L. J. László Jr Székelyhidi: The $h$-principle and the equations of fluid dynamics Bull. Amer. Math. Soc. Vol. 49, N. 3, p. 347-375, 2012 S. Conti, C. De Lellis, L. J. Székelyhidi: h-Principle and Rigidity for $C^{1,\alpha}$ Isometric Embeddings Nonlinear Partial Differential Equations. Abel Symposia 7. p. 83-116, 2012 C. De Lellis, Peter M. Topping: Almost-Schur lemma Calc. Var. Vol. 49, p. 347-354, 2012 C. De Lellis, M. Focardi: Higher integrability of the gradient for minimizers of the 2d Mumford-Shah energy J. Math. Pures Appl. Vol. 100, p. 391-409, 2013 C. De Lellis, M. Focardi: Density lower bound estimates for local minimizers of the 2d Mumford-Shah energy Manuscripta Math. Vol. 132, p. 215-232, 2013 T. Buckmaster, C. De Lellis, L. J. László Jr Székelyhidi: Transporting microstructure and dissipative Euler flows (Preprint) 2013 C. De Lellis, L. J. László Jr Székelyhidi: Continuous dissipative Euler flows and a conjecture of Onsager European Congress of Mathematics p. 1329, 2013 C. De Lellis, L. J. László Jr Székelyhidi: Dissipative continuous Euler flows Invent. Math. Vol. 193, N. 2, p. 377-407, 2013 C. De Lellis, D. Tasnady: The existence of embedded minimal hypersurfaces Jour. Diff. Geom. Vol. 95, N. 3, p. 355388, 2013 C. De Lellis, L. J. László Jr Székelyhidi: Dissipative Euler flows and Onsager's conjecture J. Eur. Math. Soc. (JEMS) Vol. 16 , p. 14671505, 2014 C. De Lellis, M. Focardi, B. Ruffini: A note on the Hausdorff dimension of the singular set for minimizers of the Mumford-Shah energy Adv. Calc. Var. Vol. 7, N. 4, p. 539-545, 2014 E. Chiodaroli, C. De Lellis, O. Kreml: Surprising solutions to the isentropic system of gas dynamics Proceedings of HYP2012 2014 C. De Lellis, E. Spadaro: Regularity of area-minimizing currents I: $L^p$ gradient estimates Geom. Funct. Anal. Vol. 24, p. 18311884, 2014 C. De Lellis: Il teorema di Liouville ovvero perche' "non esiste" la primitiva di $\exp(x^2)$ Mat. Soc. Cult. Riv. Unione Mat. Ital. (I) Vol. 7, N. 1, p. 5597, 2014 C. De Lellis, R. Ignat: A regularizing property of the 2d-eikonal equation Comm. Partial Differential Equations Vol. 40, p. 15431557, 2015 C. De Lellis, L. J. Székelyhidi: The $h$-principle and Onsager's conjecture Eur. Math. Soc. Newsl. Vol. 95, p. 19-24, 2015 T. Buckmaster, C. De Lellis, P. Isett, L. J. Székelyhidi: Anomalous dissipation for $1/5$-Hölder Euler flows Ann. of Math. (2) Vol. 182, p. 127172, 2015 E. Chiodaroli, C. De Lellis, O. Kreml: Global ill-posedness of the isentropic system of gas dynamics Comm. Pure App. Math. Vol. 68, N. 7, p. 1157-1190, 2015 C. De Lellis, E. Spadaro: Multiple valued functions and integral currents Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) Vol. 14, p. 12391269, 2015 C. De Lellis, E. Spadaro: Regularity of area-minimizing currents II: center manifold Ann. of Math. (2) Vol. 183, p. 499575, 2016 C. De Lellis, E. Spadaro: Regularity of area-minimizing currents III: blow up Ann. of Math. (2) Vol. 183, p. 577617, 2016 C. De Lellis: $2$-dimensional almost area minimizing currents Boll. Unione Mat. Ital. Vol. 9, p. 3-67, 2016 S. G. Agnieszka, C. De Lellis, P. Gwiazda: Transport equation with integral terms Calc. Var. Partial Differential Equations Vol. 55, 2016 C. De Lellis: Il teorema di Schlaefli: un invito alla quarta dimensione Rivista dell'UMI (Accepted Paper) 2016 T. Buckmaster, C. De Lellis, L. J. Székelyhidi: Dissipative Euler flows with Onsager-critical spatial regularity Comm. Pure Appl. Math. Vol. 69, p. 1613-1670, 2016 C. De Lellis, J. Ramic: Min-max theory for minimal hypersurfaces with boundary To appear in Annales de l'Institut Fourier (Accepted Paper) 2016 C. De Lellis: The size of the singular set of area-minimizing currents Surveys in differential geometry 2016 C. De Lellis: The masterpieces of John Forbes Nash Jr H. Holden and R. Piene (editors): The Abel Prize 20132017. Springer Verlag. 2016 C. De Lellis, L. J. Székelyhidi: High dimensionality and h-principle in PDE Bull. Amer. Math. Soc. (N.S.) Vol. 54, p. 247282, 2017 C. De Lellis, L. J. Székelyhidi: John Nash's nonlinear iteration (Accepted Paper) 2017 C. De Lellis, F. Ghiraldin, F. Maggi: A direct approach to Plateau's problem JEMS Vol. 19, N. 8, p. 22192240, 2017 C. De Lellis, E. Spadaro, L. Spolaor: Regularity theory for $2$-dimensional almost minimal currents II: branched center manifold Ann. PDE Vol. 2, N. 18, p. 85 pp, 2017 C. De Lellis, E. Spadaro, L. Spolaor: Uniqueness of tangent cones for $2$-dimensional almost minimizing currents Comm. Pure Appl. Math. Vol. 70, N. 7, p. 14021421, 2017 C. De Lellis, D. Inauen: Fractional Sobolev regularity for the Brouwer degree Comm. Partial Differential Equations Vol. 42, N. 10, p. 15101523, 2017 C. De Lellis, G. De Philippis, J. Hirsch, A. Massaccesi: Boundary regularity of mass-minimizing integral currents and a question of Almgren Matrix Annals 2017 L. Ambrosio, C. De Lellis, T. Schmidt: Partial regularity for mass-minimizing currents in Hilbert spaces J. Reine Angew. Math. Vol. 734, p. 99-144, 2018 C. De Lellis, E. Spadaro, L. Spolaor: Regularity theory for $2$-dimensional almost minimal currents I: Lipschitz approximation Transactions AMS Vol. 370, N. 3, p. 17831801, 2018 C. De Lellis: The Onsager Theorem Surveys in Differential Geometry 2017. 2018 C. De Lellis: Almgren's center manifold in a simple setting (Lecture Notes) 2018 C. De Lellis: Allard's interior regularity theorem: an invitation to stationary varifolds Proceedings of CMSA Harvard. Nonlinear analysis in geometry and applied mathematics. Part 2 p. 2349, 2018 M. Colombo, C. De Lellis, L. De Rosa : Ill-posedness of Leray solutions for the ipodissipative Navier--Stokes equations Comm. Math. Phys. Vol. 362, N. 2, p. 659-688, 2018 C. De Lellis, D. Inauen, L. J. Székelyhidi: A Nash-Kuiper theorem for $C^{1,\frac{1}{5}-\delta}$ immersions of surfaces in $3$ dimensions Revista matemática Iberoamericana Vol. 34, N. 3, p. 1119-1152, 2018 C. De Lellis, A. Marchese, E. Spadaro, D. Valtorta: Rectifiability and upper Minkowski bounds for singularities of harmonic $Q$-valued maps Comm. Math. Helv. Vol. 93, N. 4, p. 737-779, 2018 C. De Lellis, G. De Philippis, J. Hirsch, A. Massaccesi: On the boundary behavior of mass-minimizing integral currents To apper in Memoirs of the American Mathematical Society (Accepted Paper) 2018 C. De Lellis, A. De Rosa, F. Ghiraldin: A direct approach to the anisotropic Plateau's problem Adv. Calc. Var. 2018 C. De Lellis, Z. Zhao: Dirichlet energy-minimizers with analytic boundary (Preprint) 2019 A. Carlotto, C. De Lellis: Min-max embedded geodesic lines on asymptotically conical surfaces J. Differential Geom. Vol. 112, N. 3, p. 411-445, 2019 T. Buckmaster, C. De Lellis, L. J. Székelyhidi, V. Vicol: Onsager's conjecture for admissible weak solutions Comm. Pure Appl. Math. Vol. 72, N. 2, p. 229-274, 2019 C. De Lellis, G. De Philippis, J. Hirsch: Nonclassical minimizing surfaces with smooth boundary J. Differential Geom. (Accepted Paper) 2019 C. De Lellis, L. J. Székelyhidi: On turbulence and geometry: from Nash to Onsager Notices Amer. Math. Soc. Vol. 66, N. 5, p. 677-685, 2019 C. De Lellis, G. De Philippis, B. Kirchheim, R. Tione: Geometric measure theory and differential inclusions Annales de la Faculte' des Sciences de Toulouse 2019 M. Colombo, C. De Lellis, A. Massaccesi: The generalized Caffarelli-Kohn-Nirenberg Theorem for the hyperdissipative Navier-Stokes system Comm. Pure Appl. Math. Vol. 73, N. 3, p. 609-663, 2020 C. De Lellis, D. Inauen : $C^{1,\alpha} isometric embeddings of polar caps Adv. Math. Vol. 363, 2020 C. De Lellis, E. Spadaro, L. Spolaor: Regularity theory for $2$-dimensional almost minimal currents III: blowup J. Differential Geom. Vol. 116, N. 1, p. 125-185, 2020 C. De Lellis, M. P. Reza: The geometry of flat $C^{1,\alpha}$ isometric immersions (Preprint) 2020 C. De Lellis, J. Hirsch, A. Marchese, S. Stuvard: Regularity of area minimizing currents mod $p$ Geom. Funct. Anal. Vol. 30, N. 5, p. 1224-1336, 2020 C. De Lellis, V. Giri: Smoothing does not give a selection principle for transport equations with bounded autonomous fields To appear in Annales Mathe'matiques du Que'bec (Accepted Paper) 2020 C. De Lellis: The Nash-Kuiper Theorem and the Onsager conjecture ICCM Not. Vol. 8, N. 1, p. 17-26, 2020 C. De Lellis, H. Kwon: On Non-uniqueness of Hoelder continuous globally dissipative Euler flows To appear in Analysis and PDEs (Accepted Paper) 2020 C. De Lellis, M. Focardi, S. Ghinassi: Endpoint regularity for 2d Mumford-Shah minimizers: On a theorem of Andersson and Mikayelyan J. Math. Pures Appl. (Accepted Paper) 2020 E. Bruč, M. Colombo, C. De Lellis: Positive solutions of transport equations and classical nonuniqueness of characteristic curves Arch. Rat. Mech. Anal. 2020 C. De Lellis, L. J. Székelyhidi: Weak stablity and closure in turbulence Philosophical Transactions of the Royal Society A (Accepted Paper) 2021 C. De Lellis: The regularity theory for the area functional (in geometric measure theory) (Proceedings) 2021 C. De Lellis: An Allard-type boundary regularity theorem for 2d minimizing currents at smooth curves with arbitrary multiplicity (Preprint) 2021 C. De Lellis, J. Hirsch, A. Marchese, L. Spolaor, S. Stuvard: Area minimizing hypersurfaces modulo $p$: a geometric free-boundary problem (Submitted Paper) 2021 D. Albritton, E. Bruč, M. Colombo, C. De Lellis, V. Giri, M. Janisch, H. Kwon: Instability and nonuniqueness for the 2d Euler equations in vorticity form, after M. Vishik Annals of Mathematics Studies (Accepted Paper) 2021 C. De Lellis, J. Hirsch, A. Marchese, S. Stuvard: Area minimizing currents mod $2Q$: linear regularity theory Comm. Pure Appl. Math. Vol. 75, N. 1, p. 83-127, 2022 E. Bruč, M. Colombo, G. Crippa, C. De Lellis, M. Sorella: Onsager critical solutions of the forced Navier-Stokes equations Communications on Pure and Applied Analysis 2022 E. Bruč, C. De Lellis: Anomalous dissipation for the forced 3D Navier-Stokes equations Comm. Math. Phys. 2022 C. De Lellis, J. Hirsch, A. Marchese, L. Spolaor, S. Stuvard: Fine structure of the singular set of area minimizing hypersurfaces modulo $p$ (Submitted Paper) 2022 A. Bressan, C. De Lellis: A Remark on the Uniqueness of Solutions to Hyperbolic Conservation Laws (Preprint) p. 11, 2023 C. De Lellis, I. Fleschler: An elementary rectifiability lemma and some applications (Preprint) 2023 C. De Lellis, A. Skorobogatova: The fine structure of the singular set of area-minimizing integral currents I: the singularity degree of flat singular points (Preprint) 2023 C. De Lellis, A. Skorobogatova: The fine structure of the singular set of area-minimizing integral currents II: rectifiability of flat singular points with singularity degree larger than $1$ (Preprint) 2023 C. De Lellis, M. Focardi: The regularity theory for the Mumford-Shah functional on the plane (Lecture Notes) 2023 C. De Lellis, S. Nardulli, S. Steinbrüchel: Uniqueness of boundary tangent cones for $2$-dimensional area-minimizing currents Nonlinear Analysis Vol. 230, 2023 C. De Lellis, J. Hirsch, A. Marchese, L. Spolaor, S. Stuvard: Excess decay for minimizing hypercurrents mod $2Q$ (Submitted Paper) 2023 C. De Lellis, P. Minter , A. Skorobogatova: The fine structure of the singular set of area-minimizing integral currents III: Frequency 1 flat singular points and $\mathcal{H}^{m-2}$-a.e. uniqueness of tangent cones (Preprint) 2023 C. De Lellis, P. Minter, A. Skorobogatova: Higher codimension area-minimizing currents mod$(q)$: structure of singularities near $(m-1)$-invariant cones (Preprint) 2024 C. De Lellis, S. Nardulli, S. Steinbrüchel: An Allard-type boundary regularity theorem for $2d$ minimizing currents at smooth curves with arbitrary multiplicity Publications Mathématiques de l' I.H.É.S. p. 101, 2024