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Author ID: de-lellis.camillo Recent zbMATH articles by "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

Publications by Year

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 1350.35146
De Lellis, Camillo; Székelyhidi, László jun.
176
2009
On admissibility criteria for weak solutions of the Euler equations. Zbl 1192.35138
De Lellis, Camillo; Székelyhidi, László jun.
159
2010
Estimates and regularity results for the DiPerna-Lions flow. Zbl 1160.34004
Crippa, Gianluca; De Lellis, Camillo
121
2008
Global ill-posedness of the isentropic system of gas dynamics. Zbl 1323.35137
Chiodaroli, Elisabetta; De Lellis, Camillo; Kreml, Ondřej
89
2015
Dissipative continuous Euler flows. Zbl 1280.35103
De Lellis, Camillo; Székelyhidi, László jun.
83
2013
The \(h\)-principle and the equations of fluid dynamics. Zbl 1254.35180
De Lellis, Camillo; Székelyhidi, László jun.
69
2012
Onsager’s conjecture for admissible weak solutions. Zbl 1480.35317
Buckmaster, Tristan; De Lellis, Camillo; Székelyhidi, László jun.; Vicol, Vlad
64
2019
Anomalous dissipation for \(1/5\)-Hölder Euler flows. Zbl 1330.35303
Buckmaster, Tristan; De Lellis, Camillo; Isett, Philip; Székelyhidi, László jun.
61
2015
Line energies for gradient vector fields in the plane. Zbl 0960.49013
Ambrosio, Luigi; De Lellis, Camillo; Mantegazza, Carlo
53
1999
Weak-strong uniqueness for measure-valued solutions. Zbl 1219.35182
Brenier, Yann; De Lellis, Camillo; Székelyhidi, László jun.
53
2011
Dissipative Euler flows and Onsager’s conjecture. Zbl 1307.35205
De Lellis, Camillo; Székelyhidi, László jun.
52
2014
Structure of entropy solutions for multi-dimensional scalar conservation laws. Zbl 1036.35127
De Lellis, Camillo; Otto, Felix; Westdickenberg, Michael
41
2003
Optimal rigidity estimates for nearly umbilical surfaces. Zbl 1087.53004
de Lellis, Camillo; Müller, Stefan
41
2005
Rectifiable sets, densities and tangent measures. Zbl 1183.28006
De Lellis, Camillo
40
2008
Dissipative Euler flows with Onsager-critical spatial regularity. Zbl 1351.35109
Buckmaster, Tristan; De Lellis, Camillo; Székelyhidi, László jun.
39
2016
The min-max construction of minimal surfaces. Zbl 1051.53052
Colding, Tobias H.; De Lellis, Camillo
36
2003
\(h\)-principle and rigidity for \(C^{1,\alpha}\) isometric embeddings. Zbl 1255.53038
Conti, Sergio; De Lellis, Camillo; Székelyhidi, László
36
2012
\(Q\)-valued functions revisited. Zbl 1246.49001
De Lellis, Camillo; Spadaro, Emanuele Nunzio
34
2011
Some remarks on the theory of elasticity for compressible Neohookean materials. Zbl 1114.74004
Conti, Sergio; De Lellis, Camillo
32
2003
Almost-Schur lemma. Zbl 1236.53036
De Lellis, Camillo; Topping, Peter M.
28
2012
Notes on hyperbolic systems of conservation laws and transport equations. Zbl 1195.35215
de Lellis, Camillo
26
2007
Minimal entropy cnditions for Burgers equation. Zbl 1211.35184
De Lellis, Camillo; Otto, Felix; Westdickenberg, Michael
25
2004
Regularity of area minimizing currents I: gradient \(L^p\) estimates. Zbl 1307.49043
De Lellis, Camillo; Spadaro, Emanuele
23
2014
Structure of entropy solutions to the eikonal equation. Zbl 1053.49028
De Lellis, Camillo; Otto, Felix
23
2003
Ill-posedness of Leray solutions for the hypodissipative Navier-Stokes equations. Zbl 1402.35204
Colombo, Maria; De Lellis, Camillo; De Rosa, Luigi
20
2018
Low-regularity solutions of the periodic Camassa-Holm equation. Zbl 1123.35045
de Lellis, Camillo; Kappeler, Thomas; Topalov, Peter
20
2007
A \(C^{0}\) estimate for nearly umbilical surfaces. Zbl 1100.53005
De Lellis, Camillo; Müller, Stefan
20
2006
Sharp upper bounds for a variational problem with singular perturbation. Zbl 1186.49004
Conti, Sergio; De Lellis, Camillo
19
2007
Regularity of area minimizing currents. III: Blow-up. Zbl 1345.49053
De Lellis, Camillo; Spadaro, Emanuele
19
2016
Well-posedness for a class of hyperbolic systems of conservation laws in several space dimensions. Zbl 1072.35116
Ambrosio, Luigi; Bouchut, Frančois; De Lellis, Camillo
18
2004
A note on admissible solutions of 1D scalar conservation laws and 2D Hamilton-Jacobi equations. Zbl 1071.35032
Ambrosio, Luigi; De Lellis, Camillo
18
2004
On the optimality of velocity averaging lemmas. Zbl 1041.35019
De Lellis, Camillo; Westdickenberg, Michael
18
2003
Multiple valued functions and integral currents. Zbl 1343.49073
De Lellis, Camillo; Spadaro, Emanuele
18
2015
Regularity of area minimizing currents. II: Center manifold. Zbl 1345.49052
De Lellis, Camillo; Spadaro, Emanuele
16
2016
A direct approach to Plateau’s problem. Zbl 1376.49051
De Lellis, Camillo; Ghiraldin, Francesco; Maggi, Francesco
16
2017
Some fine properties of currents and applications to distributional Jacobians. Zbl 1025.49029
De Lellis, Camillo
15
2002
The existence of embedded minimal hypersurfaces. Zbl 1284.53057
De Lellis, Camillo; Tasnady, Dominik
13
2013
High dimensionality and \(h\)-principle in PDE. Zbl 1366.35120
De Lellis, Camillo; Székelyhidi, László jun.
12
2017
Existence of optimal strategies for a fire confinement problem. Zbl 1198.92045
Bressan, Alberto; de Lellis, Camillo
12
2009
Existence of solutions for a class of hyperbolic systems of conservation laws in several space dimensions. Zbl 1061.35048
Ambrosio, Luigi; De Lellis, Camillo
11
2003
On the chain rule for the divergence of BV-like vector fields: applications, partial results, open problems. Zbl 1200.49043
Ambrosio, Luigi; De Lellis, Camillo; Malý, Jan
11
2007
Regular selections for multiple-valued functions. Zbl 1102.54023
De Lellis, Camillo; Grisanti, Carlo-Romano; Tilli, Paolo
11
2004
Uniqueness of tangent cones for two-dimensional almost-minimizing currents. Zbl 1369.49062
De Lellis, Camillo; Spadaro, Emanuele; Spolaor, Luca
11
2017
The rectifiability of entropy measures in one space dimension. Zbl 1037.35044
De Lellis, Camillo; Rivière, Tristan
9
2003
Some remarks on the distributional Jacobian. Zbl 1025.49030
De Lellis, Camillo
9
2003
Regularity theory for 2-dimensional almost minimal currents. I: Lipschitz approximation. Zbl 1381.49047
De Lellis, Camillo; Spadaro, Emanuele; Spolaor, Luca
9
2018
Simple proof of two-well rigidity. Zbl 1134.49007
De Lellis, Camillo; Székelyhidi, László jun.
9
2006
Lower semicontinuous functionals for Almgren’s multiple valued functions. Zbl 1243.49013
De 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 1408.53079
De Lellis, Camillo; Ramic, Jusuf
9
2018
Singular limit laminations, Morse index, and positive scalar curvature. Zbl 1096.53037
Colding, 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 1421.53045
De Lellis, Camillo; Inauen, Dominik; Székelyhidi, László jun.
8
2018
An extension of the identity Det = det. (Une extension de l’identité Det = det.) Zbl 1201.35088
De Lellis, Camillo; Ghiraldin, Francesco
8
2010
The size of the singular set of area-minimizing currents. Zbl 1354.49097
De Lellis, Camillo
8
2016
A quantitative compactness estimate for scalar conservation laws. Zbl 1079.35066
de Lellis, Camillo; Golse, François
7
2005
An example in the gradient theory of phase transitions. Zbl 1037.49010
De Lellis, Camillo
7
2002
Regularity theory for 2-dimensional almost minimal currents. II: Branched center manifold. Zbl 1412.49082
De Lellis, Camillo; Spadaro, Emanuele; Spolaor, Luca
7
2017
Three circles theorems for Schrödinger operators on cylindrical ends and geometric applications. Zbl 1170.35035
Colding, Tobias H.; Minicozzi, William P. II; De Lellis, Camillo
7
2008
The generalized Caffarelli-Kohn-Nirenberg theorem for the hyperdissipative Navier-Stokes system. Zbl 1442.35298
Colombo, Maria; De Lellis, Camillo; Massaccesi, Annalisa
7
2020
A regularizing property of the \(2D\)-eikonal equation. Zbl 1327.35062
De Lellis, Camillo; Ignat, Radu
7
2015
SBV regularity for Hamilton-Jacobi equations in \(\mathbb R^n\). Zbl 1223.49039
Bianchini, Stefano; De Lellis, Camillo; Robyr, Roger
7
2011
A note on Alberti’s rank-one theorem. Zbl 1221.46030
de Lellis, Camillo
6
2008
Ordinary differential equations with rough coefficients and the renormalization theorem of Ambrosio [after Ambrosio, DiPerna, Lions]. Zbl 1169.35060
De Lellis, Camillo
6
2008
On turbulence and geometry: from Nash to Onsager. Zbl 1436.76009
De Lellis, Camillo; Székelyhidi, László jun.
6
2019
Continuous dissipative Euler flows and a conjecture of Onsager. Zbl 1364.35250
De Lellis, Camillo; Székelyhidi, László
6
2013
Higher integrability of the gradient for minimizers of the \(2d\) Mumford-Shah energy. Zbl 1282.49037
De Lellis, C.; Focardi, M.
5
2013
Genus bounds for minimal surfaces arising from min-max constructions. Zbl 1201.53009
de Lellis, Camillo; Pellandini, Filippo
5
2010
The \(h\)-principle and Onsager’s conjecture. Zbl 1335.35189
De Lellis, Camillo; Székelyhidi, László
5
2015
Rectifiability and upper Minkowski bounds for singularities of harmonic \(Q\)-valued maps. Zbl 1408.49045
De 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 1304.49091
De Lellis, Camillo; Focardi, Matteo; Ruffini, Berardo
4
2014
Density lower bound estimates for local minimizers of the \(2d\) Mumford-Shah energy. Zbl 1273.49008
De Lellis, Camillo; Focardi, Matteo
4
2013
A direct approach to the anisotropic Plateau problem. Zbl 1416.49051
De Lellis, Camillo; De Rosa, Antonio; Ghiraldin, Francesco
4
2019
Regularity and compactness for the DiPerna-Lions flow. Zbl 1144.35365
Crippa, G.; de Lellis, C.
4
2008
Oscillatory solutions to transport equations. Zbl 1098.35101
Crippa, Gianluca; De Lellis, Camillo
4
2006
Transport equations with integral terms: existence, uniqueness and stability. Zbl 1404.82094
De Lellis, Camillo; Gwiazda, Piotr; Świerczewska-Gwiazda, Agnieszka
4
2016
Hamilton-Jacobi equations with obstacles. Zbl 1294.49016
De Lellis, Camillo; Robyr, Roger
4
2011
Almgren’s \(Q\)-valued functions revisited. Zbl 1226.49041
De Lellis, Camillo
4
2011
Center manifold: A case study. Zbl 1238.49060
De Lellis, Camillo; Spadaro, Emanuele
4
2011
Allard’s interior regularity theorem; an invitation to stationary varifolds. Zbl 06999823
De 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 1074.35073
de Lellis, Camillo
3
2005
Min-max embedded geodesic lines in asymptotically conical surfaces. Zbl 1420.53049
Carlotto, Alessandro; De Lellis, Camillo
3
2019
Partial regularity for mass-minimizing currents in Hilbert spaces. Zbl 1391.30067
Ambrosio, Luigi; De Lellis, Camillo; Schmidt, Thomas
3
2018
ODEs with Sobolev coefficients: the Eulerian and the Lagrangian approach. Zbl 1156.35341
de Lellis, Camillo
3
2008
Positive solutions of transport equations and classical nonuniqueness of characteristic curves. Zbl 1467.35271
Brué, 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 1053.74003
De-Lellis, Camillo; Royer-Carfagni, Gianni
2
2001
Regularity theory for \(2\)-dimensional almost minimal currents. III: Blowup. Zbl 1454.49040
De Lellis, Camillo; Spadaro, Emanuele; Spolaor, Luca
2
2020
Boundary regularity of mass-minimizing integral currents and a question of Almgren. Zbl 1417.53068
De 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 1050.49010
Conti, Sergio; De Lellis, Camillo; Müller, Stefan; Romeo, Mario
1
2003
Fractional Sobolev regularity for the Brouwer degree. Zbl 06840465
De Lellis, Camillo; Inauen, Dominik
1
2017
The Onsager theorem. Zbl 1406.35247
De Lellis, Camillo
1
2018
Lossless analog compression. Zbl 1433.94019
Alberti, Giovanni; Bölcskei, Helmut; De Lellis, Camillo; Koliander, Günther; Riegler, Erwin
1
2019
\(C^{1, \alpha }\) isometric embeddings of polar caps. Zbl 1436.53006
De 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 1456.49032
De Lellis, Camillo; Hirsch, Jonas; Marchese, Andrea; Stuvard, Salvatore
1
2020
Positive solutions of transport equations and classical nonuniqueness of characteristic curves. Zbl 1467.35271
Brué, Elia; Colombo, Maria; De Lellis, Camillo
3
2021
The generalized Caffarelli-Kohn-Nirenberg theorem for the hyperdissipative Navier-Stokes system. Zbl 1442.35298
Colombo, Maria; De Lellis, Camillo; Massaccesi, Annalisa
7
2020
Regularity theory for \(2\)-dimensional almost minimal currents. III: Blowup. Zbl 1454.49040
De Lellis, Camillo; Spadaro, Emanuele; Spolaor, Luca
2
2020
\(C^{1, \alpha }\) isometric embeddings of polar caps. Zbl 1436.53006
De Lellis, Camillo; Inauen, Dominik
1
2020
Regularity of area minimizing currents mod \(p\). Zbl 1456.49032
De Lellis, Camillo; Hirsch, Jonas; Marchese, Andrea; Stuvard, Salvatore
1
2020
Onsager’s conjecture for admissible weak solutions. Zbl 1480.35317
Buckmaster, Tristan; De Lellis, Camillo; Székelyhidi, László jun.; Vicol, Vlad
64
2019
On turbulence and geometry: from Nash to Onsager. Zbl 1436.76009
De Lellis, Camillo; Székelyhidi, László jun.
6
2019
A direct approach to the anisotropic Plateau problem. Zbl 1416.49051
De Lellis, Camillo; De Rosa, Antonio; Ghiraldin, Francesco
4
2019
Min-max embedded geodesic lines in asymptotically conical surfaces. Zbl 1420.53049
Carlotto, Alessandro; De Lellis, Camillo
3
2019
Boundary regularity of mass-minimizing integral currents and a question of Almgren. Zbl 1417.53068
De Lellis, Camillo; De Philippis, Guido; Hirsch, Jonas; Massaccesi, Annalisa
1
2019
Lossless analog compression. Zbl 1433.94019
Alberti, Giovanni; Bölcskei, Helmut; De Lellis, Camillo; Koliander, Günther; Riegler, Erwin
1
2019
Ill-posedness of Leray solutions for the hypodissipative Navier-Stokes equations. Zbl 1402.35204
Colombo, Maria; De Lellis, Camillo; De Rosa, Luigi
20
2018
Regularity theory for 2-dimensional almost minimal currents. I: Lipschitz approximation. Zbl 1381.49047
De 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 1408.53079
De Lellis, Camillo; Ramic, Jusuf
9
2018
A Nash-Kuiper theorem for \(C^{1,\frac{1}{5}-\delta}\) immersions of surfaces in 3 dimensions. Zbl 1421.53045
De Lellis, Camillo; Inauen, Dominik; Székelyhidi, László jun.
8
2018
Rectifiability and upper Minkowski bounds for singularities of harmonic \(Q\)-valued maps. Zbl 1408.49045
De Lellis, Camillo; Marchese, Andrea; Spadaro, Emanuele; Valtorta, Daniele
5
2018
Allard’s interior regularity theorem; an invitation to stationary varifolds. Zbl 06999823
De Lellis, Camillo
4
2018
Partial regularity for mass-minimizing currents in Hilbert spaces. Zbl 1391.30067
Ambrosio, Luigi; De Lellis, Camillo; Schmidt, Thomas
3
2018
The Onsager theorem. Zbl 1406.35247
De Lellis, Camillo
1
2018
A direct approach to Plateau’s problem. Zbl 1376.49051
De Lellis, Camillo; Ghiraldin, Francesco; Maggi, Francesco
16
2017
High dimensionality and \(h\)-principle in PDE. Zbl 1366.35120
De Lellis, Camillo; Székelyhidi, László jun.
12
2017
Uniqueness of tangent cones for two-dimensional almost-minimizing currents. Zbl 1369.49062
De Lellis, Camillo; Spadaro, Emanuele; Spolaor, Luca
11
2017
Regularity theory for 2-dimensional almost minimal currents. II: Branched center manifold. Zbl 1412.49082
De Lellis, Camillo; Spadaro, Emanuele; Spolaor, Luca
7
2017
Fractional Sobolev regularity for the Brouwer degree. Zbl 06840465
De Lellis, Camillo; Inauen, Dominik
1
2017
Dissipative Euler flows with Onsager-critical spatial regularity. Zbl 1351.35109
Buckmaster, Tristan; De Lellis, Camillo; Székelyhidi, László jun.
39
2016
Regularity of area minimizing currents. III: Blow-up. Zbl 1345.49053
De Lellis, Camillo; Spadaro, Emanuele
19
2016
Regularity of area minimizing currents. II: Center manifold. Zbl 1345.49052
De Lellis, Camillo; Spadaro, Emanuele
16
2016
The size of the singular set of area-minimizing currents. Zbl 1354.49097
De Lellis, Camillo
8
2016
Transport equations with integral terms: existence, uniqueness and stability. Zbl 1404.82094
De Lellis, Camillo; Gwiazda, Piotr; Świerczewska-Gwiazda, Agnieszka
4
2016
Global ill-posedness of the isentropic system of gas dynamics. Zbl 1323.35137
Chiodaroli, Elisabetta; De Lellis, Camillo; Kreml, Ondřej
89
2015
Anomalous dissipation for \(1/5\)-Hölder Euler flows. Zbl 1330.35303
Buckmaster, Tristan; De Lellis, Camillo; Isett, Philip; Székelyhidi, László jun.
61
2015
Multiple valued functions and integral currents. Zbl 1343.49073
De Lellis, Camillo; Spadaro, Emanuele
18
2015
A regularizing property of the \(2D\)-eikonal equation. Zbl 1327.35062
De Lellis, Camillo; Ignat, Radu
7
2015
The \(h\)-principle and Onsager’s conjecture. Zbl 1335.35189
De Lellis, Camillo; Székelyhidi, László
5
2015
Dissipative Euler flows and Onsager’s conjecture. Zbl 1307.35205
De Lellis, Camillo; Székelyhidi, László jun.
52
2014
Regularity of area minimizing currents I: gradient \(L^p\) estimates. Zbl 1307.49043
De Lellis, Camillo; Spadaro, Emanuele
23
2014
A note on the Hausdorff dimension of the singular set for minimizers of the Mumford-Shah energy. Zbl 1304.49091
De Lellis, Camillo; Focardi, Matteo; Ruffini, Berardo
4
2014
Dissipative continuous Euler flows. Zbl 1280.35103
De Lellis, Camillo; Székelyhidi, László jun.
83
2013
The existence of embedded minimal hypersurfaces. Zbl 1284.53057
De Lellis, Camillo; Tasnady, Dominik
13
2013
Continuous dissipative Euler flows and a conjecture of Onsager. Zbl 1364.35250
De Lellis, Camillo; Székelyhidi, László
6
2013
Higher integrability of the gradient for minimizers of the \(2d\) Mumford-Shah energy. Zbl 1282.49037
De Lellis, C.; Focardi, M.
5
2013
Density lower bound estimates for local minimizers of the \(2d\) Mumford-Shah energy. Zbl 1273.49008
De 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 1254.35180
De Lellis, Camillo; Székelyhidi, László jun.
69
2012
\(h\)-principle and rigidity for \(C^{1,\alpha}\) isometric embeddings. Zbl 1255.53038
Conti, Sergio; De Lellis, Camillo; Székelyhidi, László
36
2012
Almost-Schur lemma. Zbl 1236.53036
De 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 1219.35182
Brenier, Yann; De Lellis, Camillo; Székelyhidi, László jun.
53
2011
\(Q\)-valued functions revisited. Zbl 1246.49001
De Lellis, Camillo; Spadaro, Emanuele Nunzio
34
2011
Lower semicontinuous functionals for Almgren’s multiple valued functions. Zbl 1243.49013
De Lellis, Camillo; Focardi, Matteo; Spadaro, Emanuele Nunzio
9
2011
SBV regularity for Hamilton-Jacobi equations in \(\mathbb R^n\). Zbl 1223.49039
Bianchini, Stefano; De Lellis, Camillo; Robyr, Roger
7
2011
Hamilton-Jacobi equations with obstacles. Zbl 1294.49016
De Lellis, Camillo; Robyr, Roger
4
2011
Almgren’s \(Q\)-valued functions revisited. Zbl 1226.49041
De Lellis, Camillo
4
2011
Center manifold: A case study. Zbl 1238.49060
De Lellis, Camillo; Spadaro, Emanuele
4
2011
On admissibility criteria for weak solutions of the Euler equations. Zbl 1192.35138
De Lellis, Camillo; Székelyhidi, László jun.
159
2010
An extension of the identity Det = det. (Une extension de l’identité Det = det.) Zbl 1201.35088
De Lellis, Camillo; Ghiraldin, Francesco
8
2010
Genus bounds for minimal surfaces arising from min-max constructions. Zbl 1201.53009
de Lellis, Camillo; Pellandini, Filippo
5
2010
The Euler equations as a differential inclusion. Zbl 1350.35146
De Lellis, Camillo; Székelyhidi, László jun.
176
2009
Existence of optimal strategies for a fire confinement problem. Zbl 1198.92045
Bressan, Alberto; de Lellis, Camillo
12
2009
Estimates and regularity results for the DiPerna-Lions flow. Zbl 1160.34004
Crippa, Gianluca; De Lellis, Camillo
121
2008
Rectifiable sets, densities and tangent measures. Zbl 1183.28006
De Lellis, Camillo
40
2008
Three circles theorems for Schrödinger operators on cylindrical ends and geometric applications. Zbl 1170.35035
Colding, Tobias H.; Minicozzi, William P. II; De Lellis, Camillo
7
2008
A note on Alberti’s rank-one theorem. Zbl 1221.46030
de Lellis, Camillo
6
2008
Ordinary differential equations with rough coefficients and the renormalization theorem of Ambrosio [after Ambrosio, DiPerna, Lions]. Zbl 1169.35060
De Lellis, Camillo
6
2008
Regularity and compactness for the DiPerna-Lions flow. Zbl 1144.35365
Crippa, 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 1156.35341
de Lellis, Camillo
3
2008
Notes on hyperbolic systems of conservation laws and transport equations. Zbl 1195.35215
de Lellis, Camillo
26
2007
Low-regularity solutions of the periodic Camassa-Holm equation. Zbl 1123.35045
de Lellis, Camillo; Kappeler, Thomas; Topalov, Peter
20
2007
Sharp upper bounds for a variational problem with singular perturbation. Zbl 1186.49004
Conti, Sergio; De Lellis, Camillo
19
2007
On the chain rule for the divergence of BV-like vector fields: applications, partial results, open problems. Zbl 1200.49043
Ambrosio, Luigi; De Lellis, Camillo; Malý, Jan
11
2007
A \(C^{0}\) estimate for nearly umbilical surfaces. Zbl 1100.53005
De Lellis, Camillo; Müller, Stefan
20
2006
Simple proof of two-well rigidity. Zbl 1134.49007
De Lellis, Camillo; Székelyhidi, László jun.
9
2006
Oscillatory solutions to transport equations. Zbl 1098.35101
Crippa, Gianluca; De Lellis, Camillo
4
2006
Optimal rigidity estimates for nearly umbilical surfaces. Zbl 1087.53004
de Lellis, Camillo; Müller, Stefan
41
2005
Singular limit laminations, Morse index, and positive scalar curvature. Zbl 1096.53037
Colding, Tobias H.; De Lellis, Camillo
8
2005
A quantitative compactness estimate for scalar conservation laws. Zbl 1079.35066
de Lellis, Camillo; Golse, François
7
2005
Blowup of the BV norm in the multidimensional Keyfitz and Kranzer system. Zbl 1074.35073
de Lellis, Camillo
3
2005
Minimal entropy cnditions for Burgers equation. Zbl 1211.35184
De Lellis, Camillo; Otto, Felix; Westdickenberg, Michael
25
2004
Well-posedness for a class of hyperbolic systems of conservation laws in several space dimensions. Zbl 1072.35116
Ambrosio, Luigi; Bouchut, Frančois; De Lellis, Camillo
18
2004
A note on admissible solutions of 1D scalar conservation laws and 2D Hamilton-Jacobi equations. Zbl 1071.35032
Ambrosio, Luigi; De Lellis, Camillo
18
2004
Regular selections for multiple-valued functions. Zbl 1102.54023
De Lellis, Camillo; Grisanti, Carlo-Romano; Tilli, Paolo
11
2004
Structure of entropy solutions for multi-dimensional scalar conservation laws. Zbl 1036.35127
De Lellis, Camillo; Otto, Felix; Westdickenberg, Michael
41
2003
The min-max construction of minimal surfaces. Zbl 1051.53052
Colding, Tobias H.; De Lellis, Camillo
36
2003
Some remarks on the theory of elasticity for compressible Neohookean materials. Zbl 1114.74004
Conti, Sergio; De Lellis, Camillo
32
2003
Structure of entropy solutions to the eikonal equation. Zbl 1053.49028
De Lellis, Camillo; Otto, Felix
23
2003
On the optimality of velocity averaging lemmas. Zbl 1041.35019
De Lellis, Camillo; Westdickenberg, Michael
18
2003
Existence of solutions for a class of hyperbolic systems of conservation laws in several space dimensions. Zbl 1061.35048
Ambrosio, Luigi; De Lellis, Camillo
11
2003
The rectifiability of entropy measures in one space dimension. Zbl 1037.35044
De Lellis, Camillo; Rivière, Tristan
9
2003
Some remarks on the distributional Jacobian. Zbl 1025.49030
De Lellis, Camillo
9
2003
Polyconvexity equals rank-one convexity for connected isotropic sets in \(\mathbb M^{2\times 2}\). Zbl 1050.49010
Conti, Sergio; De Lellis, Camillo; Müller, Stefan; Romeo, Mario
1
2003
Some fine properties of currents and applications to distributional Jacobians. Zbl 1025.49029
De Lellis, Camillo
15
2002
An example in the gradient theory of phase transitions. Zbl 1037.49010
De Lellis, Camillo
7
2002
Interaction of fractures in tensile bars with non-local spatial dependence. Zbl 1053.74003
De-Lellis, Camillo; Royer-Carfagni, Gianni
2
2001
Line energies for gradient vector fields in the plane. Zbl 0960.49013
Ambrosio, Luigi; De Lellis, Camillo; Mantegazza, Carlo
53
1999
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

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