Edit Profile (opens in new tab) De Lellis, Camillo Compute Distance To: Compute Author ID: de-lellis.camillo Published as: De Lellis, Camillo; de Lellis, Camillo; De-Lellis, Camillo; de Lellis, C.; De Lellis, C. Homepage: https://www.math.ias.edu/delellis/ External Links: MGP · ORCID · Wikidata · MathOverflow · dblp · GND · IdRef · theses.fr Documents Indexed: 105 Publications since 1999, including 2 Books 11 Contributions as Editor · 1 Further Contribution Biographic References: 1 Publication Co-Authors: 77 Co-Authors with 93 Joint Publications 1,526 Co-Co-Authors all top 5 Co-Authors 22 single-authored 17 Székelyhidi, László jun. 12 Spadaro, Emanuele Nunzio 6 Ambrosio, Luigi 6 Crippa, Gianluca 5 Focardi, Matteo 4 Bianchini, Stefano 4 Conti, Sergio 4 Spolaor, Luca 3 Alberti, Giovanni 3 Ancona, Fabio 3 Buckmaster, Tristan 3 Colding, Tobias Holck 3 Colombo, Maria 3 Ghiraldin, Francesco 3 Hirsch, Jonas 3 Inauen, Dominik 3 Marchese, Andrea 3 Marson, Andrea 3 Müller, Stefan 3 Otto, Felix 3 Topping, Peter Miles 3 Westdickenberg, Michael 2 Chang, Sun-Yung Alice 2 De Philippis, Guido 2 Huisken, Gerhard 2 Jerrard, Robert Leon 2 Mascia, Corrado 2 Massaccesi, Annalisa 2 Robyr, Roger 2 Stuvard, Salvatore 1 Acerbi, Emilio 1 Arezzo, Claudio 1 Bölcskei, Helmut 1 Boldrighini, Carlo 1 Bouchut, François 1 Brendle, Simon 1 Brenier, Yann 1 Bressan, Alberto 1 Bruè, Elia 1 Bunimovich, Leonid Abramovich 1 Carlotto, Alessandro 1 Cellarosi, Francesco 1 Chiodaroli, Elisabetta 1 Cohen, Albert 1 Colombo, Rinaldo M. 1 De Rosa, Antonio 1 De Rosa, Luigi 1 Deligne, Pierre René 1 Ghinassi, Silvia 1 Giri, Vikram 1 Golse, François 1 Grisanti, Carlo-Romano 1 Gurevich, B. M. 1 Gwiazda, Piotr 1 Holden, Helge 1 Ignat, Radu 1 Illusie, Luc 1 Isett, Philip 1 Kappeler, Thomas 1 Khanin, Konstantin M. 1 King, Henry C. 1 Kirchheim, Bernd 1 Kohn, Robert Vita 1 Koliander, Günther 1 Kreml, Ondřej 1 Li, Dong 1 Maggi, Francesco 1 Malý, Jan 1 Mantegazza, Carlo 1 McCann, Robert J. 1 Meyer, Yves F. 1 Milnor, John Willard 1 Mingione, Giuseppe 1 Minicozzi, William Philip II 1 Montanari, Annamaria 1 Nachbar, John H. 1 Nasar, Sylvia 1 Nash, John Forbes jun. 1 Nirenberg, Louis 1 Pellandini, Filippo 1 Pesin, Yakov Borisovich 1 Piene, Ragni 1 Ramic, Jusuf 1 Riegler, Erwin 1 Rivière, Tristan 1 Romeo, Mario 1 Ruffini, Berardo 1 Schatzle, Reiner 1 Schmidt, Thomas 1 Schoen, Richard Melvin 1 Simányi, Nándor J. 1 Sinaĭ, Yakov Grigor’evich 1 Skinner, Christopher M. 1 Świerczewska-Gwiazda, Agnieszka 1 Szász, Domokos 1 Tasnady, Dominik 1 Tilli, Paolo 1 Tione, Riccardo 1 Topalov, Peter J. 1 Valtorta, Daniele ...and 4 more Co-Authors all top 5 Serials 9 Communications on Pure and Applied Mathematics 6 Oberwolfach Reports 5 Archive for Rational Mechanics and Analysis 4 Journal of Differential Geometry 4 Communications in Partial Differential Equations 4 Calculus of Variations and Partial Differential Equations 4 Annals of Mathematics. Second Series 3 Journal für die Reine und Angewandte Mathematik 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Journal of the European Mathematical Society (JEMS) 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Communications in Mathematical Physics 2 Geometric and Functional Analysis. GAFA 2 Bulletin of the American Mathematical Society. New Series 2 Notices of the American Mathematical Society 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 Advances in Calculus of Variations 2 AIMS Series on Applied Mathematics 1 IEEE Transactions on Information Theory 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Commentarii Mathematici Helvetici 1 Duke Mathematical Journal 1 Indiana University Mathematics Journal 1 Inventiones Mathematicae 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Memoirs of the American Mathematical Society 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Quarterly of Applied Mathematics 1 Topology 1 Transactions of the American Mathematical Society 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Revista Matemática Iberoamericana 1 IMRN. International Mathematics Research Notices 1 Journal of Elasticity 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Discrete and Continuous Dynamical Systems 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 European Mathematical Society Newsletter 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Journal of Hyperbolic Differential Equations 1 Lecture Notes of the Unione Matematica Italiana 1 Bollettino dell’Unione Matematica Italiana. Series IX 1 Discrete and Continuous Dynamical Systems. Series S 1 La Matematica nella Società e nella Cultura. Serie I 1 Rivista di Matematica della Università di Parma. New Series 1 Annales Mathématiques du Québec 1 ICCM Notices 1 Annals of PDE 1 Matematica, Cultura e Società. Rivista dell’Unione Matematica Italiana. Serie I 1 Bollettino dell’Unione Matematica Italiana 1 Zurich Lectures in Advanced Mathematics 1 The Abel Prize all top 5 Fields 58 Partial differential equations (35-XX) 48 Calculus of variations and optimal control; optimization (49-XX) 28 Differential geometry (53-XX) 20 Fluid mechanics (76-XX) 14 Global analysis, analysis on manifolds (58-XX) 10 General and overarching topics; collections (00-XX) 6 Real functions (26-XX) 6 Functional analysis (46-XX) 5 Measure and integration (28-XX) 5 Ordinary differential equations (34-XX) 4 Mechanics of deformable solids (74-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 General topology (54-XX) 2 History and biography (01-XX) 2 Functions of a complex variable (30-XX) 2 Convex and discrete geometry (52-XX) 2 Information and communication theory, circuits (94-XX) 1 Number theory (11-XX) 1 Algebraic topology (55-XX) 1 Mechanics of particles and systems (70-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 95 Publications have been cited 1,954 times in 1,041 Documents Cited by ▼ Year ▼ The Euler equations as a differential inclusion. Zbl 1350.35146De Lellis, Camillo; Székelyhidi, László jun. 176 2009 On admissibility criteria for weak solutions of the Euler equations. Zbl 1192.35138De Lellis, Camillo; Székelyhidi, László jun. 159 2010 Estimates and regularity results for the DiPerna-Lions flow. Zbl 1160.34004Crippa, Gianluca; De Lellis, Camillo 121 2008 Global ill-posedness of the isentropic system of gas dynamics. Zbl 1323.35137Chiodaroli, Elisabetta; De Lellis, Camillo; Kreml, Ondřej 89 2015 Dissipative continuous Euler flows. Zbl 1280.35103De Lellis, Camillo; Székelyhidi, László jun. 83 2013 The \(h\)-principle and the equations of fluid dynamics. Zbl 1254.35180De Lellis, Camillo; Székelyhidi, László jun. 69 2012 Onsager’s conjecture for admissible weak solutions. Zbl 1480.35317Buckmaster, Tristan; De Lellis, Camillo; Székelyhidi, László jun.; Vicol, Vlad 64 2019 Anomalous dissipation for \(1/5\)-Hölder Euler flows. Zbl 1330.35303Buckmaster, Tristan; De Lellis, Camillo; Isett, Philip; Székelyhidi, László jun. 61 2015 Line energies for gradient vector fields in the plane. Zbl 0960.49013Ambrosio, Luigi; De Lellis, Camillo; Mantegazza, Carlo 53 1999 Weak-strong uniqueness for measure-valued solutions. Zbl 1219.35182Brenier, Yann; De Lellis, Camillo; Székelyhidi, László jun. 53 2011 Dissipative Euler flows and Onsager’s conjecture. Zbl 1307.35205De Lellis, Camillo; Székelyhidi, László jun. 52 2014 Structure of entropy solutions for multi-dimensional scalar conservation laws. Zbl 1036.35127De Lellis, Camillo; Otto, Felix; Westdickenberg, Michael 41 2003 Optimal rigidity estimates for nearly umbilical surfaces. Zbl 1087.53004de Lellis, Camillo; Müller, Stefan 41 2005 Rectifiable sets, densities and tangent measures. Zbl 1183.28006De Lellis, Camillo 40 2008 Dissipative Euler flows with Onsager-critical spatial regularity. Zbl 1351.35109Buckmaster, Tristan; De Lellis, Camillo; Székelyhidi, László jun. 39 2016 The min-max construction of minimal surfaces. Zbl 1051.53052Colding, Tobias H.; De Lellis, Camillo 36 2003 \(h\)-principle and rigidity for \(C^{1,\alpha}\) isometric embeddings. Zbl 1255.53038Conti, Sergio; De Lellis, Camillo; Székelyhidi, László 36 2012 \(Q\)-valued functions revisited. Zbl 1246.49001De Lellis, Camillo; Spadaro, Emanuele Nunzio 34 2011 Some remarks on the theory of elasticity for compressible Neohookean materials. Zbl 1114.74004Conti, Sergio; De Lellis, Camillo 32 2003 Almost-Schur lemma. Zbl 1236.53036De Lellis, Camillo; Topping, Peter M. 28 2012 Notes on hyperbolic systems of conservation laws and transport equations. Zbl 1195.35215de Lellis, Camillo 26 2007 Minimal entropy cnditions for Burgers equation. Zbl 1211.35184De Lellis, Camillo; Otto, Felix; Westdickenberg, Michael 25 2004 Regularity of area minimizing currents I: gradient \(L^p\) estimates. Zbl 1307.49043De Lellis, Camillo; Spadaro, Emanuele 23 2014 Structure of entropy solutions to the eikonal equation. Zbl 1053.49028De Lellis, Camillo; Otto, Felix 23 2003 Ill-posedness of Leray solutions for the hypodissipative Navier-Stokes equations. Zbl 1402.35204Colombo, Maria; De Lellis, Camillo; De Rosa, Luigi 20 2018 Low-regularity solutions of the periodic Camassa-Holm equation. Zbl 1123.35045de Lellis, Camillo; Kappeler, Thomas; Topalov, Peter 20 2007 A \(C^{0}\) estimate for nearly umbilical surfaces. Zbl 1100.53005De Lellis, Camillo; Müller, Stefan 20 2006 Sharp upper bounds for a variational problem with singular perturbation. Zbl 1186.49004Conti, Sergio; De Lellis, Camillo 19 2007 Regularity of area minimizing currents. III: Blow-up. Zbl 1345.49053De Lellis, Camillo; Spadaro, Emanuele 19 2016 Well-posedness for a class of hyperbolic systems of conservation laws in several space dimensions. Zbl 1072.35116Ambrosio, Luigi; Bouchut, Frančois; De Lellis, Camillo 18 2004 A note on admissible solutions of 1D scalar conservation laws and 2D Hamilton-Jacobi equations. Zbl 1071.35032Ambrosio, Luigi; De Lellis, Camillo 18 2004 On the optimality of velocity averaging lemmas. Zbl 1041.35019De Lellis, Camillo; Westdickenberg, Michael 18 2003 Multiple valued functions and integral currents. Zbl 1343.49073De Lellis, Camillo; Spadaro, Emanuele 18 2015 Regularity of area minimizing currents. II: Center manifold. Zbl 1345.49052De Lellis, Camillo; Spadaro, Emanuele 16 2016 A direct approach to Plateau’s problem. Zbl 1376.49051De Lellis, Camillo; Ghiraldin, Francesco; Maggi, Francesco 16 2017 Some fine properties of currents and applications to distributional Jacobians. Zbl 1025.49029De Lellis, Camillo 15 2002 The existence of embedded minimal hypersurfaces. Zbl 1284.53057De Lellis, Camillo; Tasnady, Dominik 13 2013 High dimensionality and \(h\)-principle in PDE. Zbl 1366.35120De Lellis, Camillo; Székelyhidi, László jun. 12 2017 Existence of optimal strategies for a fire confinement problem. Zbl 1198.92045Bressan, Alberto; de Lellis, Camillo 12 2009 Existence of solutions for a class of hyperbolic systems of conservation laws in several space dimensions. Zbl 1061.35048Ambrosio, Luigi; De Lellis, Camillo 11 2003 On the chain rule for the divergence of BV-like vector fields: applications, partial results, open problems. Zbl 1200.49043Ambrosio, Luigi; De Lellis, Camillo; Malý, Jan 11 2007 Regular selections for multiple-valued functions. Zbl 1102.54023De Lellis, Camillo; Grisanti, Carlo-Romano; Tilli, Paolo 11 2004 Uniqueness of tangent cones for two-dimensional almost-minimizing currents. Zbl 1369.49062De Lellis, Camillo; Spadaro, Emanuele; Spolaor, Luca 11 2017 The rectifiability of entropy measures in one space dimension. Zbl 1037.35044De Lellis, Camillo; Rivière, Tristan 9 2003 Some remarks on the distributional Jacobian. Zbl 1025.49030De Lellis, Camillo 9 2003 Regularity theory for 2-dimensional almost minimal currents. I: Lipschitz approximation. Zbl 1381.49047De Lellis, Camillo; Spadaro, Emanuele; Spolaor, Luca 9 2018 Simple proof of two-well rigidity. Zbl 1134.49007De Lellis, Camillo; Székelyhidi, László jun. 9 2006 Lower semicontinuous functionals for Almgren’s multiple valued functions. Zbl 1243.49013De Lellis, Camillo; Focardi, Matteo; Spadaro, Emanuele Nunzio 9 2011 Min-Max theory for minimal hypersurfaces with boundary. (Methodes de Min-Max pour hypersurfaces minimales ayant le bord donné.) Zbl 1408.53079De Lellis, Camillo; Ramic, Jusuf 9 2018 Singular limit laminations, Morse index, and positive scalar curvature. Zbl 1096.53037Colding, Tobias H.; De Lellis, Camillo 8 2005 A Nash-Kuiper theorem for \(C^{1,\frac{1}{5}-\delta}\) immersions of surfaces in 3 dimensions. Zbl 1421.53045De Lellis, Camillo; Inauen, Dominik; Székelyhidi, László jun. 8 2018 An extension of the identity Det = det. (Une extension de l’identité Det = det.) Zbl 1201.35088De Lellis, Camillo; Ghiraldin, Francesco 8 2010 The size of the singular set of area-minimizing currents. Zbl 1354.49097De Lellis, Camillo 8 2016 A quantitative compactness estimate for scalar conservation laws. Zbl 1079.35066de Lellis, Camillo; Golse, François 7 2005 An example in the gradient theory of phase transitions. Zbl 1037.49010De Lellis, Camillo 7 2002 Regularity theory for 2-dimensional almost minimal currents. II: Branched center manifold. Zbl 1412.49082De Lellis, Camillo; Spadaro, Emanuele; Spolaor, Luca 7 2017 Three circles theorems for Schrödinger operators on cylindrical ends and geometric applications. Zbl 1170.35035Colding, Tobias H.; Minicozzi, William P. II; De Lellis, Camillo 7 2008 The generalized Caffarelli-Kohn-Nirenberg theorem for the hyperdissipative Navier-Stokes system. Zbl 1442.35298Colombo, Maria; De Lellis, Camillo; Massaccesi, Annalisa 7 2020 A regularizing property of the \(2D\)-eikonal equation. Zbl 1327.35062De Lellis, Camillo; Ignat, Radu 7 2015 SBV regularity for Hamilton-Jacobi equations in \(\mathbb R^n\). Zbl 1223.49039Bianchini, Stefano; De Lellis, Camillo; Robyr, Roger 7 2011 A note on Alberti’s rank-one theorem. Zbl 1221.46030de Lellis, Camillo 6 2008 Ordinary differential equations with rough coefficients and the renormalization theorem of Ambrosio [after Ambrosio, DiPerna, Lions]. Zbl 1169.35060De Lellis, Camillo 6 2008 On turbulence and geometry: from Nash to Onsager. Zbl 1436.76009De Lellis, Camillo; Székelyhidi, László jun. 6 2019 Continuous dissipative Euler flows and a conjecture of Onsager. Zbl 1364.35250De Lellis, Camillo; Székelyhidi, László 6 2013 Higher integrability of the gradient for minimizers of the \(2d\) Mumford-Shah energy. Zbl 1282.49037De Lellis, C.; Focardi, M. 5 2013 Genus bounds for minimal surfaces arising from min-max constructions. Zbl 1201.53009de Lellis, Camillo; Pellandini, Filippo 5 2010 The \(h\)-principle and Onsager’s conjecture. Zbl 1335.35189De Lellis, Camillo; Székelyhidi, László 5 2015 Rectifiability and upper Minkowski bounds for singularities of harmonic \(Q\)-valued maps. Zbl 1408.49045De Lellis, Camillo; Marchese, Andrea; Spadaro, Emanuele; Valtorta, Daniele 5 2018 A note on the Hausdorff dimension of the singular set for minimizers of the Mumford-Shah energy. Zbl 1304.49091De Lellis, Camillo; Focardi, Matteo; Ruffini, Berardo 4 2014 Density lower bound estimates for local minimizers of the \(2d\) Mumford-Shah energy. Zbl 1273.49008De Lellis, Camillo; Focardi, Matteo 4 2013 A direct approach to the anisotropic Plateau problem. Zbl 1416.49051De Lellis, Camillo; De Rosa, Antonio; Ghiraldin, Francesco 4 2019 Regularity and compactness for the DiPerna-Lions flow. Zbl 1144.35365Crippa, G.; de Lellis, C. 4 2008 Oscillatory solutions to transport equations. Zbl 1098.35101Crippa, Gianluca; De Lellis, Camillo 4 2006 Transport equations with integral terms: existence, uniqueness and stability. Zbl 1404.82094De Lellis, Camillo; Gwiazda, Piotr; Świerczewska-Gwiazda, Agnieszka 4 2016 Hamilton-Jacobi equations with obstacles. Zbl 1294.49016De Lellis, Camillo; Robyr, Roger 4 2011 Almgren’s \(Q\)-valued functions revisited. Zbl 1226.49041De Lellis, Camillo 4 2011 Center manifold: A case study. Zbl 1238.49060De Lellis, Camillo; Spadaro, Emanuele 4 2011 Allard’s interior regularity theorem; an invitation to stationary varifolds. Zbl 06999823De Lellis, Camillo 4 2018 Transport equations and multi-D hyperbolic conservation laws. Zbl 1131.35300 4 2008 Blowup of the BV norm in the multidimensional Keyfitz and Kranzer system. Zbl 1074.35073de Lellis, Camillo 3 2005 Min-max embedded geodesic lines in asymptotically conical surfaces. Zbl 1420.53049Carlotto, Alessandro; De Lellis, Camillo 3 2019 Partial regularity for mass-minimizing currents in Hilbert spaces. Zbl 1391.30067Ambrosio, Luigi; De Lellis, Camillo; Schmidt, Thomas 3 2018 ODEs with Sobolev coefficients: the Eulerian and the Lagrangian approach. Zbl 1156.35341de Lellis, Camillo 3 2008 Positive solutions of transport equations and classical nonuniqueness of characteristic curves. Zbl 1467.35271Brué, Elia; Colombo, Maria; De Lellis, Camillo 3 2021 HCDTE lecture notes. Part II. Nonlinear Hyperbolic PDEs, dispersive and transport equations. Lecture notes of some of the courses given during the trimester HCDTE, Trieste, Italy, May 16 – July 22, 2011. Zbl 1307.35006 2 2013 Interaction of fractures in tensile bars with non-local spatial dependence. Zbl 1053.74003De-Lellis, Camillo; Royer-Carfagni, Gianni 2 2001 Regularity theory for \(2\)-dimensional almost minimal currents. III: Blowup. Zbl 1454.49040De Lellis, Camillo; Spadaro, Emanuele; Spolaor, Luca 2 2020 Boundary regularity of mass-minimizing integral currents and a question of Almgren. Zbl 1417.53068De Lellis, Camillo; De Philippis, Guido; Hirsch, Jonas; Massaccesi, Annalisa 1 2019 Polyconvexity equals rank-one convexity for connected isotropic sets in \(\mathbb M^{2\times 2}\). Zbl 1050.49010Conti, Sergio; De Lellis, Camillo; Müller, Stefan; Romeo, Mario 1 2003 Fractional Sobolev regularity for the Brouwer degree. Zbl 06840465De Lellis, Camillo; Inauen, Dominik 1 2017 The Onsager theorem. Zbl 1406.35247De Lellis, Camillo 1 2018 Lossless analog compression. Zbl 1433.94019Alberti, Giovanni; Bölcskei, Helmut; De Lellis, Camillo; Koliander, Günther; Riegler, Erwin 1 2019 \(C^{1, \alpha }\) isometric embeddings of polar caps. Zbl 1436.53006De Lellis, Camillo; Inauen, Dominik 1 2020 Calculus of variations. Abstracts from the workshop held July 22–28, 2012. Zbl 1349.00130 1 2012 Regularity of area minimizing currents mod \(p\). Zbl 1456.49032De Lellis, Camillo; Hirsch, Jonas; Marchese, Andrea; Stuvard, Salvatore 1 2020 Positive solutions of transport equations and classical nonuniqueness of characteristic curves. Zbl 1467.35271Brué, Elia; Colombo, Maria; De Lellis, Camillo 3 2021 The generalized Caffarelli-Kohn-Nirenberg theorem for the hyperdissipative Navier-Stokes system. Zbl 1442.35298Colombo, Maria; De Lellis, Camillo; Massaccesi, Annalisa 7 2020 Regularity theory for \(2\)-dimensional almost minimal currents. III: Blowup. Zbl 1454.49040De Lellis, Camillo; Spadaro, Emanuele; Spolaor, Luca 2 2020 \(C^{1, \alpha }\) isometric embeddings of polar caps. Zbl 1436.53006De Lellis, Camillo; Inauen, Dominik 1 2020 Regularity of area minimizing currents mod \(p\). Zbl 1456.49032De Lellis, Camillo; Hirsch, Jonas; Marchese, Andrea; Stuvard, Salvatore 1 2020 Onsager’s conjecture for admissible weak solutions. Zbl 1480.35317Buckmaster, Tristan; De Lellis, Camillo; Székelyhidi, László jun.; Vicol, Vlad 64 2019 On turbulence and geometry: from Nash to Onsager. Zbl 1436.76009De Lellis, Camillo; Székelyhidi, László jun. 6 2019 A direct approach to the anisotropic Plateau problem. Zbl 1416.49051De Lellis, Camillo; De Rosa, Antonio; Ghiraldin, Francesco 4 2019 Min-max embedded geodesic lines in asymptotically conical surfaces. Zbl 1420.53049Carlotto, Alessandro; De Lellis, Camillo 3 2019 Boundary regularity of mass-minimizing integral currents and a question of Almgren. Zbl 1417.53068De Lellis, Camillo; De Philippis, Guido; Hirsch, Jonas; Massaccesi, Annalisa 1 2019 Lossless analog compression. Zbl 1433.94019Alberti, Giovanni; Bölcskei, Helmut; De Lellis, Camillo; Koliander, Günther; Riegler, Erwin 1 2019 Ill-posedness of Leray solutions for the hypodissipative Navier-Stokes equations. Zbl 1402.35204Colombo, Maria; De Lellis, Camillo; De Rosa, Luigi 20 2018 Regularity theory for 2-dimensional almost minimal currents. I: Lipschitz approximation. Zbl 1381.49047De Lellis, Camillo; Spadaro, Emanuele; Spolaor, Luca 9 2018 Min-Max theory for minimal hypersurfaces with boundary. (Methodes de Min-Max pour hypersurfaces minimales ayant le bord donné.) Zbl 1408.53079De Lellis, Camillo; Ramic, Jusuf 9 2018 A Nash-Kuiper theorem for \(C^{1,\frac{1}{5}-\delta}\) immersions of surfaces in 3 dimensions. Zbl 1421.53045De Lellis, Camillo; Inauen, Dominik; Székelyhidi, László jun. 8 2018 Rectifiability and upper Minkowski bounds for singularities of harmonic \(Q\)-valued maps. Zbl 1408.49045De Lellis, Camillo; Marchese, Andrea; Spadaro, Emanuele; Valtorta, Daniele 5 2018 Allard’s interior regularity theorem; an invitation to stationary varifolds. Zbl 06999823De Lellis, Camillo 4 2018 Partial regularity for mass-minimizing currents in Hilbert spaces. Zbl 1391.30067Ambrosio, Luigi; De Lellis, Camillo; Schmidt, Thomas 3 2018 The Onsager theorem. Zbl 1406.35247De Lellis, Camillo 1 2018 A direct approach to Plateau’s problem. Zbl 1376.49051De Lellis, Camillo; Ghiraldin, Francesco; Maggi, Francesco 16 2017 High dimensionality and \(h\)-principle in PDE. Zbl 1366.35120De Lellis, Camillo; Székelyhidi, László jun. 12 2017 Uniqueness of tangent cones for two-dimensional almost-minimizing currents. Zbl 1369.49062De Lellis, Camillo; Spadaro, Emanuele; Spolaor, Luca 11 2017 Regularity theory for 2-dimensional almost minimal currents. II: Branched center manifold. Zbl 1412.49082De Lellis, Camillo; Spadaro, Emanuele; Spolaor, Luca 7 2017 Fractional Sobolev regularity for the Brouwer degree. Zbl 06840465De Lellis, Camillo; Inauen, Dominik 1 2017 Dissipative Euler flows with Onsager-critical spatial regularity. Zbl 1351.35109Buckmaster, Tristan; De Lellis, Camillo; Székelyhidi, László jun. 39 2016 Regularity of area minimizing currents. III: Blow-up. Zbl 1345.49053De Lellis, Camillo; Spadaro, Emanuele 19 2016 Regularity of area minimizing currents. II: Center manifold. Zbl 1345.49052De Lellis, Camillo; Spadaro, Emanuele 16 2016 The size of the singular set of area-minimizing currents. Zbl 1354.49097De Lellis, Camillo 8 2016 Transport equations with integral terms: existence, uniqueness and stability. Zbl 1404.82094De Lellis, Camillo; Gwiazda, Piotr; Świerczewska-Gwiazda, Agnieszka 4 2016 Global ill-posedness of the isentropic system of gas dynamics. Zbl 1323.35137Chiodaroli, Elisabetta; De Lellis, Camillo; Kreml, Ondřej 89 2015 Anomalous dissipation for \(1/5\)-Hölder Euler flows. Zbl 1330.35303Buckmaster, Tristan; De Lellis, Camillo; Isett, Philip; Székelyhidi, László jun. 61 2015 Multiple valued functions and integral currents. Zbl 1343.49073De Lellis, Camillo; Spadaro, Emanuele 18 2015 A regularizing property of the \(2D\)-eikonal equation. Zbl 1327.35062De Lellis, Camillo; Ignat, Radu 7 2015 The \(h\)-principle and Onsager’s conjecture. Zbl 1335.35189De Lellis, Camillo; Székelyhidi, László 5 2015 Dissipative Euler flows and Onsager’s conjecture. Zbl 1307.35205De Lellis, Camillo; Székelyhidi, László jun. 52 2014 Regularity of area minimizing currents I: gradient \(L^p\) estimates. Zbl 1307.49043De Lellis, Camillo; Spadaro, Emanuele 23 2014 A note on the Hausdorff dimension of the singular set for minimizers of the Mumford-Shah energy. Zbl 1304.49091De Lellis, Camillo; Focardi, Matteo; Ruffini, Berardo 4 2014 Dissipative continuous Euler flows. Zbl 1280.35103De Lellis, Camillo; Székelyhidi, László jun. 83 2013 The existence of embedded minimal hypersurfaces. Zbl 1284.53057De Lellis, Camillo; Tasnady, Dominik 13 2013 Continuous dissipative Euler flows and a conjecture of Onsager. Zbl 1364.35250De Lellis, Camillo; Székelyhidi, László 6 2013 Higher integrability of the gradient for minimizers of the \(2d\) Mumford-Shah energy. Zbl 1282.49037De Lellis, C.; Focardi, M. 5 2013 Density lower bound estimates for local minimizers of the \(2d\) Mumford-Shah energy. Zbl 1273.49008De Lellis, Camillo; Focardi, Matteo 4 2013 HCDTE lecture notes. Part II. Nonlinear Hyperbolic PDEs, dispersive and transport equations. Lecture notes of some of the courses given during the trimester HCDTE, Trieste, Italy, May 16 – July 22, 2011. Zbl 1307.35006 2 2013 The \(h\)-principle and the equations of fluid dynamics. Zbl 1254.35180De Lellis, Camillo; Székelyhidi, László jun. 69 2012 \(h\)-principle and rigidity for \(C^{1,\alpha}\) isometric embeddings. Zbl 1255.53038Conti, Sergio; De Lellis, Camillo; Székelyhidi, László 36 2012 Almost-Schur lemma. Zbl 1236.53036De Lellis, Camillo; Topping, Peter M. 28 2012 Calculus of variations. Abstracts from the workshop held July 22–28, 2012. Zbl 1349.00130 1 2012 Weak-strong uniqueness for measure-valued solutions. Zbl 1219.35182Brenier, Yann; De Lellis, Camillo; Székelyhidi, László jun. 53 2011 \(Q\)-valued functions revisited. Zbl 1246.49001De Lellis, Camillo; Spadaro, Emanuele Nunzio 34 2011 Lower semicontinuous functionals for Almgren’s multiple valued functions. Zbl 1243.49013De Lellis, Camillo; Focardi, Matteo; Spadaro, Emanuele Nunzio 9 2011 SBV regularity for Hamilton-Jacobi equations in \(\mathbb R^n\). Zbl 1223.49039Bianchini, Stefano; De Lellis, Camillo; Robyr, Roger 7 2011 Hamilton-Jacobi equations with obstacles. Zbl 1294.49016De Lellis, Camillo; Robyr, Roger 4 2011 Almgren’s \(Q\)-valued functions revisited. Zbl 1226.49041De Lellis, Camillo 4 2011 Center manifold: A case study. Zbl 1238.49060De Lellis, Camillo; Spadaro, Emanuele 4 2011 On admissibility criteria for weak solutions of the Euler equations. Zbl 1192.35138De Lellis, Camillo; Székelyhidi, László jun. 159 2010 An extension of the identity Det = det. (Une extension de l’identité Det = det.) Zbl 1201.35088De Lellis, Camillo; Ghiraldin, Francesco 8 2010 Genus bounds for minimal surfaces arising from min-max constructions. Zbl 1201.53009de Lellis, Camillo; Pellandini, Filippo 5 2010 The Euler equations as a differential inclusion. Zbl 1350.35146De Lellis, Camillo; Székelyhidi, László jun. 176 2009 Existence of optimal strategies for a fire confinement problem. Zbl 1198.92045Bressan, Alberto; de Lellis, Camillo 12 2009 Estimates and regularity results for the DiPerna-Lions flow. Zbl 1160.34004Crippa, Gianluca; De Lellis, Camillo 121 2008 Rectifiable sets, densities and tangent measures. Zbl 1183.28006De Lellis, Camillo 40 2008 Three circles theorems for Schrödinger operators on cylindrical ends and geometric applications. Zbl 1170.35035Colding, Tobias H.; Minicozzi, William P. II; De Lellis, Camillo 7 2008 A note on Alberti’s rank-one theorem. Zbl 1221.46030de Lellis, Camillo 6 2008 Ordinary differential equations with rough coefficients and the renormalization theorem of Ambrosio [after Ambrosio, DiPerna, Lions]. Zbl 1169.35060De Lellis, Camillo 6 2008 Regularity and compactness for the DiPerna-Lions flow. Zbl 1144.35365Crippa, G.; de Lellis, C. 4 2008 Transport equations and multi-D hyperbolic conservation laws. Zbl 1131.35300 4 2008 ODEs with Sobolev coefficients: the Eulerian and the Lagrangian approach. Zbl 1156.35341de Lellis, Camillo 3 2008 Notes on hyperbolic systems of conservation laws and transport equations. Zbl 1195.35215de Lellis, Camillo 26 2007 Low-regularity solutions of the periodic Camassa-Holm equation. Zbl 1123.35045de Lellis, Camillo; Kappeler, Thomas; Topalov, Peter 20 2007 Sharp upper bounds for a variational problem with singular perturbation. Zbl 1186.49004Conti, Sergio; De Lellis, Camillo 19 2007 On the chain rule for the divergence of BV-like vector fields: applications, partial results, open problems. Zbl 1200.49043Ambrosio, Luigi; De Lellis, Camillo; Malý, Jan 11 2007 A \(C^{0}\) estimate for nearly umbilical surfaces. Zbl 1100.53005De Lellis, Camillo; Müller, Stefan 20 2006 Simple proof of two-well rigidity. Zbl 1134.49007De Lellis, Camillo; Székelyhidi, László jun. 9 2006 Oscillatory solutions to transport equations. Zbl 1098.35101Crippa, Gianluca; De Lellis, Camillo 4 2006 Optimal rigidity estimates for nearly umbilical surfaces. Zbl 1087.53004de Lellis, Camillo; Müller, Stefan 41 2005 Singular limit laminations, Morse index, and positive scalar curvature. Zbl 1096.53037Colding, Tobias H.; De Lellis, Camillo 8 2005 A quantitative compactness estimate for scalar conservation laws. Zbl 1079.35066de Lellis, Camillo; Golse, François 7 2005 Blowup of the BV norm in the multidimensional Keyfitz and Kranzer system. Zbl 1074.35073de Lellis, Camillo 3 2005 Minimal entropy cnditions for Burgers equation. Zbl 1211.35184De Lellis, Camillo; Otto, Felix; Westdickenberg, Michael 25 2004 Well-posedness for a class of hyperbolic systems of conservation laws in several space dimensions. Zbl 1072.35116Ambrosio, Luigi; Bouchut, Frančois; De Lellis, Camillo 18 2004 A note on admissible solutions of 1D scalar conservation laws and 2D Hamilton-Jacobi equations. Zbl 1071.35032Ambrosio, Luigi; De Lellis, Camillo 18 2004 Regular selections for multiple-valued functions. Zbl 1102.54023De Lellis, Camillo; Grisanti, Carlo-Romano; Tilli, Paolo 11 2004 Structure of entropy solutions for multi-dimensional scalar conservation laws. Zbl 1036.35127De Lellis, Camillo; Otto, Felix; Westdickenberg, Michael 41 2003 The min-max construction of minimal surfaces. Zbl 1051.53052Colding, Tobias H.; De Lellis, Camillo 36 2003 Some remarks on the theory of elasticity for compressible Neohookean materials. Zbl 1114.74004Conti, Sergio; De Lellis, Camillo 32 2003 Structure of entropy solutions to the eikonal equation. Zbl 1053.49028De Lellis, Camillo; Otto, Felix 23 2003 On the optimality of velocity averaging lemmas. Zbl 1041.35019De Lellis, Camillo; Westdickenberg, Michael 18 2003 Existence of solutions for a class of hyperbolic systems of conservation laws in several space dimensions. Zbl 1061.35048Ambrosio, Luigi; De Lellis, Camillo 11 2003 The rectifiability of entropy measures in one space dimension. Zbl 1037.35044De Lellis, Camillo; Rivière, Tristan 9 2003 Some remarks on the distributional Jacobian. Zbl 1025.49030De Lellis, Camillo 9 2003 Polyconvexity equals rank-one convexity for connected isotropic sets in \(\mathbb M^{2\times 2}\). Zbl 1050.49010Conti, Sergio; De Lellis, Camillo; Müller, Stefan; Romeo, Mario 1 2003 Some fine properties of currents and applications to distributional Jacobians. Zbl 1025.49029De Lellis, Camillo 15 2002 An example in the gradient theory of phase transitions. Zbl 1037.49010De Lellis, Camillo 7 2002 Interaction of fractures in tensile bars with non-local spatial dependence. Zbl 1053.74003De-Lellis, Camillo; Royer-Carfagni, Gianni 2 2001 Line energies for gradient vector fields in the plane. Zbl 0960.49013Ambrosio, Luigi; De Lellis, Camillo; Mantegazza, Carlo 53 1999 all cited Publications top 5 cited Publications all top 5 Cited by 1,016 Authors 49 De Lellis, Camillo 38 Feireisl, Eduard 27 Crippa, Gianluca 22 Székelyhidi, László jun. 16 Jabin, Pierre-Emmanuel 16 Kreml, Ondřej 15 Colombo, Maria 15 Wiedemann, Emil 14 Ambrosio, Luigi 14 Chiodaroli, Elisabetta 14 Spadaro, Emanuele Nunzio 13 Bressan, Alberto 13 De Philippis, Guido 12 Bianchini, Stefano 12 Conti, Sergio 12 Gwiazda, Piotr 11 Focardi, Matteo 11 Świerczewska-Gwiazda, Agnieszka 10 Marconi, Elio 10 Mishra, Siddhartha 10 Rivière, Tristan 10 Titi, Edriss Saleh 10 Vasseur, Alexis F. 9 Bardos, Claude Williams 9 Chen, Gui-Qiang G. 9 Ghiraldin, Francesco 9 Henao, Duvan A. 9 Ignat, Radu 9 Luo, Dejun 8 Bruè, Elia 8 Drivas, Theodore Dimitrios 8 Ghoshal, Shyam Sundar 8 Isett, Philip 8 Mazzucato, Anna L. 8 Mora-Corral, Carlos 8 Seis, Christian 8 Spirito, Stefano 8 Spolaor, Luca 8 Stuvard, Salvatore 8 Vicol, Vlad C. 8 Zvyagin, Viktor Grigor’evich 7 Colding, Tobias Holck 7 De Rosa, Antonio 7 Elling, Volker W. 7 Flandoli, Franco 7 Lorent, Andrew 7 Maggi, Francesco 7 Malý, Jan 7 Markfelder, Simon 7 Minicozzi, William Philip II 7 Nguyen, Khai T. 7 Poliakovsky, Arkady 7 Shvydkoy, Roman V. 7 Wang, Yi 7 Zhou, Xin 6 Breit, Dominic 6 Brenier, Yann 6 Buckmaster, Tristan 6 Elgindi, Tarek Mohamed 6 Faraco, Daniel 6 Fjordholm, Ulrik Skre 6 Hencl, Stanislav 6 Hofmanová, Martina 6 Jana, Animesh 6 Mácha, Václav 6 Nussenzveig Lopes, Helena Judith 6 Orlov, Vladimir P. 6 Otto, Felix 6 Zhang, Xicheng 5 Alberti, Giovanni 5 Arroja Neves, André 5 Březina, Jan 5 Caravenna, Laura 5 Coclite, Giuseppe Maria 5 Constantin, Peter 5 De Rosa, Luigi 5 Gess, Benjamin 5 Glass, Olivier 5 Hirsch, Jonas 5 Huang, Xing 5 Junca, Stéphane 5 Lamy, Xavier 5 Lanthaler, Samuel 5 LeFloch, Philippe Gerard 5 Lopes Filho, Milton da Costa 5 Lukáčová-Medvid’ová, Mária 5 Marchese, Andrea 5 Marques, Fernando Codá 5 Müller, Stefan 5 Perthame, Benoît 5 Schatzle, Reiner 5 Spinolo, Laura V. 5 Tao, Tao 5 Tolsa, Xavier 5 Yan, Baisheng 5 Zhang, Liqun 4 Ancona, Fabio 4 Bonicatto, Paolo 4 Bouchut, François 4 Bresch, Didier ...and 916 more Authors all top 5 Cited in 195 Serials 98 Archive for Rational Mechanics and Analysis 64 Calculus of Variations and Partial Differential Equations 42 Journal of Differential Equations 39 Communications in Mathematical Physics 31 SIAM Journal on Mathematical Analysis 29 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 26 Advances in Mathematics 25 Communications in Partial Differential Equations 21 Journal of Functional Analysis 19 Transactions of the American Mathematical Society 18 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 18 Journal of Nonlinear Science 17 Journal of Mathematical Analysis and Applications 17 Nonlinearity 16 Inventiones Mathematicae 16 Journal de Mathématiques Pures et Appliquées. Neuvième Série 15 Communications on Pure and Applied Mathematics 14 Journal of the European Mathematical Society (JEMS) 12 Mathematische Annalen 12 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 12 Journal of Mathematical Fluid Mechanics 12 Comptes Rendus. Mathématique. Académie des Sciences, Paris 11 The Journal of Geometric Analysis 11 Annals of Mathematics. Second Series 10 Physica D 10 Discrete and Continuous Dynamical Systems 10 Annals of PDE 9 ZAMP. Zeitschrift für angewandte Mathematik und Physik 9 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 9 Bulletin of the American Mathematical Society. New Series 8 Proceedings of the American Mathematical Society 8 Geometric and Functional Analysis. GAFA 7 Nonlinear Analysis. Real World Applications 7 Journal of Hyperbolic Differential Equations 7 Discrete and Continuous Dynamical Systems. Series S 6 Duke Mathematical Journal 6 Revista Matemática Iberoamericana 6 Journal of Elasticity 6 Stochastic Processes and their Applications 6 NoDEA. Nonlinear Differential Equations and Applications 6 Bulletin of the Brazilian Mathematical Society. New Series 6 Advances in Calculus of Variations 5 Journal of Mathematical Physics 5 Journal of Statistical Physics 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Journal für die Reine und Angewandte Mathematik 5 Mathematische Zeitschrift 5 Memoirs of the American Mathematical Society 5 SIAM Journal on Numerical Analysis 5 Annals of Global Analysis and Geometry 5 Journal of Scientific Computing 5 Geometry & Topology 5 Communications in Contemporary Mathematics 5 Journal of Evolution Equations 5 Science China. Mathematics 4 Journal of Fluid Mechanics 4 Geometriae Dedicata 4 Quarterly of Applied Mathematics 4 Acta Applicandae Mathematicae 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 Journal of Mathematical Sciences (New York) 4 Foundations of Computational Mathematics 4 Oberwolfach Reports 4 Kinetic and Related Models 3 Computers & Mathematics with Applications 3 Computer Methods in Applied Mechanics and Engineering 3 Manuscripta Mathematica 3 Probability Theory and Related Fields 3 Journal of the American Mathematical Society 3 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 3 Differential Geometry and its Applications 3 Electronic Journal of Probability 3 Revista Matemática Complutense 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 3 Networks and Heterogeneous Media 3 Annales Mathématiques du Québec 3 Analysis and Geometry in Metric Spaces 3 Séminaire Laurent Schwartz. EDP et Applications 2 Israel Journal of Mathematics 2 Journal of Computational Physics 2 Annales de l’Institut Fourier 2 The Annals of Probability 2 Applied Mathematics and Optimization 2 Indiana University Mathematics Journal 2 Journal of Differential Geometry 2 Numerische Mathematik 2 Results in Mathematics 2 Zeitschrift für Analysis und ihre Anwendungen 2 Applied Mathematics Letters 2 Journal of Dynamics and Differential Equations 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Russian Mathematics 2 Potential Analysis 2 Selecta Mathematica. New Series 2 Bulletin des Sciences Mathématiques 2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Discrete and Continuous Dynamical Systems. Series B 2 Communications on Pure and Applied Analysis 2 Milan Journal of Mathematics 2 Acta Numerica ...and 95 more Serials all top 5 Cited in 48 Fields 665 Partial differential equations (35-XX) 333 Fluid mechanics (76-XX) 208 Calculus of variations and optimal control; optimization (49-XX) 165 Differential geometry (53-XX) 71 Mechanics of deformable solids (74-XX) 69 Global analysis, analysis on manifolds (58-XX) 58 Numerical analysis (65-XX) 57 Measure and integration (28-XX) 55 Real functions (26-XX) 55 Probability theory and stochastic processes (60-XX) 41 Dynamical systems and ergodic theory (37-XX) 38 Functional analysis (46-XX) 32 Ordinary differential equations (34-XX) 27 Statistical mechanics, structure of matter (82-XX) 22 Functions of a complex variable (30-XX) 15 Manifolds and cell complexes (57-XX) 14 Harmonic analysis on Euclidean spaces (42-XX) 12 Relativity and gravitational theory (83-XX) 11 Operator theory (47-XX) 10 Geophysics (86-XX) 9 General topology (54-XX) 9 Biology and other natural sciences (92-XX) 8 Optics, electromagnetic theory (78-XX) 8 Operations research, mathematical programming (90-XX) 7 Systems theory; control (93-XX) 6 General and overarching topics; collections (00-XX) 6 Potential theory (31-XX) 6 Several complex variables and analytic spaces (32-XX) 6 Convex and discrete geometry (52-XX) 6 Mechanics of particles and systems (70-XX) 5 Classical thermodynamics, heat transfer (80-XX) 5 Quantum theory (81-XX) 5 Information and communication theory, circuits (94-XX) 4 Algebraic geometry (14-XX) 4 Topological groups, Lie groups (22-XX) 4 Approximations and expansions (41-XX) 4 Computer science (68-XX) 3 History and biography (01-XX) 3 Group theory and generalizations (20-XX) 2 Geometry (51-XX) 2 Algebraic topology (55-XX) 2 Astronomy and astrophysics (85-XX) 1 Combinatorics (05-XX) 1 Nonassociative rings and algebras (17-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 Statistics (62-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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