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1

Transport equations with integral terms: existence, uniqueness and stability

De Lellis, Camillo, Gwiazda, Piotr, Świerczewska-Gwiazda, Agnieszka

Journal:

Calculus of Variations and Partial Differential Equations

Year:

2016

Language:

english

File:

PDF, 499 KB

english, 2016

2

Blowup of the BV norm in the multidimensional Keyfitz and Kranzer system

De Lellis, Camillo

Journal:

Duke Mathematical Journal

Year:

2005

Language:

english

File:

PDF, 272 KB

english, 2005

3

High dimensionality and h-principle in PDE

De Lellis, Camillo, Székelyhidi, László

Journal:

Bulletin of the American Mathematical Society

Year:

2016

Language:

english

File:

PDF, 475 KB

english, 2016

4

Sharp upper bounds for a variational problem with singular perturbation

Sergio Conti, Camillo De Lellis

Journal:

Mathematische Annalen

Year:

2007

Language:

english

File:

PDF, 457 KB

english, 2007

5

Density lower bound estimates for local minimizers of the 2dMumford–Shah energy

Camillo De Lellis, Matteo Focardi

Journal:

manuscripta mathematica

Year:

2013

Language:

english

File:

PDF, 257 KB

english, 2013

6

Well-Posedness for a Class of Hyperbolic Systems of Conservation Laws in Several Space Dimensions

Ambrosio, Luigi, Bouchut, François, De Lellis, Camillo

Journal:

Communications in Partial Differential Equations

Year:

2005

Language:

english

File:

PDF, 232 KB

english, 2005

7

Genus bounds for minimal surfaces arising from min-max constructions

De Lellis, Camillo, Pellandini, Filippo

Journal:

Journal für die reine und angewandte Mathematik (Crelles Journal)

Year:

2010

Language:

english

File:

PDF, 759 KB

english, 2010

8

Partial regularity for mass-minimizing currents in Hilbert spaces

Ambrosio, Luigi, De Lellis, Camillo, Schmidt, Thomas

Journal:

Journal für die reine und angewandte Mathematik (Crelles Journal)

Year:

2015

Language:

english

File:

PDF, 657 KB

english, 2015

9

Partial Differential Equations

De Lellis, Camillo, Schoen, Richard, Topping, Peter

Journal:

Oberwolfach Reports

Year:

2018

Language:

english

File:

PDF, 548 KB

english, 2018

10

Onsager's Conjecture for Admissible Weak Solutions

Buckmaster, Tristan, De Lellis, Camillo, Székelyhidi, László, Vicol, Vlad

Journal:

Communications on Pure and Applied Mathematics

Year:

2018

Language:

english

File:

PDF, 429 KB

english, 2018

11

C1, isometric embeddings of polar caps

De Lellis, Camillo, Inauen, Dominik

Journal:

Advances in Mathematics

Year:

2020

Language:

english

File:

PDF, 584 KB

english, 2020

12

Three circles theorems for Schrödinger operators on cylindrical ends and geometric applications

Tobias H. Colding, William P. Minicozzi II, Camillo De Lellis

Journal:

Communications on Pure and Applied Mathematics

Year:

2008

Language:

english

File:

PDF, 462 KB

english, 2008

13

Existence of optimal strategies for a fire confinement problem

Alberto Bressan, Camillo De Lellis

Journal:

Communications on Pure and Applied Mathematics

Year:

2009

Language:

english

File:

PDF, 365 KB

english, 2009

14

Singular limit laminations, Morse index, and positive scalar curvature

Tobias H. Colding, Camillo De Lellis

Journal:

Year:

2005

Language:

english

File:

PDF, 358 KB

english, 2005

15

Polyconvexity equals rank-one convexity for connected isotropic sets in M2×2

Sergio Conti, Camillo De Lellis, Stefan Müller, Mario Romeo

Journal:

Comptes Rendus Mathematique

Year:

2003

Language:

french

File:

PDF, 149 KB

french, 2003

16

Hamilton Jacobi Equations with Obstacles

Camillo De Lellis, Roger Robyr

Journal:

Archive for Rational Mechanics and Analysis

Year:

2011

Language:

english

File:

PDF, 296 KB

english, 2011

17

AC0Estimate for Nearly Umbilical Surfaces

Camillo De Lellis, Stefan Müller

Journal:

Calculus of Variations and Partial Differential Equations

Year:

2006

Language:

english

File:

PDF, 319 KB

english, 2006

18

Almost-Schur lemma

Camillo De Lellis, Peter M. Topping

Journal:

Calculus of Variations and Partial Differential Equations

Year:

2012

Language:

english

File:

PDF, 154 KB

english, 2012

19

Line energies for gradient vector fields in the plane

Luigi Ambrosio, Camillo De Lellis, Carlo Mantegazza

Journal:

Calculus of Variations and Partial Differential Equations

Year:

1999

Language:

english

File:

PDF, 261 KB

english, 1999

20

Estimates and regularity results for the DiPerna-Lions flow

Crippa, Gianluca, de Lellis, Camillo

Journal:

Journal für die reine und angewandte Mathematik (Crelles Journal)

Year:

2008

Language:

english

File:

PDF, 288 KB

english, 2008

21

Dissipative Euler flows and Onsager's conjecture

De Lellis, Camillo, Székelyhidi Jr., László

Journal:

Journal of the European Mathematical Society

Year:

2014

Language:

english

File:

PDF, 287 KB

english, 2014

22

Regularity of area minimizing currents I: gradientLpestimates

De Lellis, Camillo, Spadaro, Emanuele

Journal:

Geometric And Functional Analysis

Year:

2014

Language:

english

File:

PDF, 684 KB

english, 2014

23

Two-dimensional almost area minimizing currents

De Lellis, Camillo

Journal:

Bollettino dell'Unione Matematica Italiana

Year:

2016

Language:

english

File:

PDF, 1.10 MB

english, 2016

24

Dissipative Euler Flows with Onsager-Critical Spatial Regularity

Buckmaster, Tristan, De Lellis, Camillo, Székelyhidi, László

Journal:

Communications on Pure and Applied Mathematics

Year:

2016

Language:

english

File:

PDF, 447 KB

english, 2016

25

Oscillatory solutions to transport equations

De Lellis, Camillo, Crippa, GianLuca

Journal:

Indiana University Mathematics Journal

Year:

2006

Language:

english

File:

PDF, 222 KB

english, 2006

26

Optimal rigidity estimates for nearly umbilical surfaces

De Lellis, Camillo, Müller, Stefan

Journal:

Journal Of Differential Geometry

Year:

2005

Language:

english

File:

PDF, 380 KB

english, 2005

27

The existence of embedded minimal hypersurfaces

De Lellis, Camillo, Tasnady, Dominik

Journal:

Journal Of Differential Geometry

Year:

2013

Language:

english

File:

PDF, 333 KB

english, 2013

28

Regularity theory for $2$-dimensional almost minimal currents I: Lipschitz approximation

De Lellis, Camillo, Spadaro, Emanuele, Spolaor, Luca

Journal:

Transactions of the American Mathematical Society

Year:

2017

Language:

english

File:

PDF, 311 KB

english, 2017

29

Regularity Theory for 2-Dimensional Almost Minimal Currents II: Branched Center Manifold

De Lellis, Camillo, Spadaro, Emanuele, Spolaor, Luca

Journal:

Year:

2017

Language:

english

File:

PDF, 1.15 MB

english, 2017

30

Avaliação do grau de inflamação vascular em pacientes com síndrome metabólica

Junqueira, Adriana Silva Monteiro, Romêo Filho, Luiz José Martins, Junqueira, Camillo de Léllis Carneiro

Journal:

Arquivos Brasileiros de Cardiologia

Year:

2009

Language:

english

File:

PDF, 619 KB

english, 2009

31

Calculus of Variations

Brendle, Simon, De Lellis, Camillo, Jerrard, Robert

Journal:

Oberwolfach Reports

Year:

2014

Language:

english

File:

PDF, 561 KB

english, 2014

32

Rectifiability and upper Minkowski bounds for singularities of harmonic $Q$-valued maps

De Lellis, Camillo, Marchese, Andrea, Spadaro, Emanuele, Valtorta, Daniele

Journal:

Commentarii Mathematici Helvetici

Year:

2018

Language:

english

File:

PDF, 403 KB

english, 2018

33

A quantitative compactness estimate for scalar conservation laws

Camillo de Lellis, François Golse

Journal:

Communications on Pure and Applied Mathematics

Year:

2005

Language:

english

File:

PDF, 102 KB

english, 2005

34

Simple proof of two-well rigidity

Camillo De Lellis, László Székelyhidi Jr.

Journal:

Comptes Rendus Mathematique

Year:

2006

Language:

english

File:

PDF, 113 KB

english, 2006

35

An extension of the identity

Camillo De Lellis, Francesco Ghiraldin

Journal:

Comptes Rendus Mathematique

Year:

2010

Language:

english

File:

PDF, 146 KB

english, 2010

36

The rectifiability of entropy measures in one space dimension

Camillo De Lellis, Tristan Rivière

Journal:

Journal de Mathématiques Pures et Appliquées

Year:

2003

Language:

english

File:

PDF, 222 KB

english, 2003

37

On the optimality of velocity averaging lemmas

Camillo De Lellis, Michael Westdickenberg

Journal:

Annales de l'Institut Henri Poincare (C) Non Linear Analysis

Year:

2003

Language:

english

File:

PDF, 142 KB

english, 2003

38

Some remarks on the distributional Jacobian

Camillo De Lellis

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2003

Language:

english

File:

PDF, 157 KB

english, 2003

39

Structure of Entropy Solutions for Multi-Dimensional Scalar Conservation Laws

Camillo De Lellis, Felix Otto, Michael Westdickenberg

Journal:

Archive for Rational Mechanics and Analysis

Year:

2003

Language:

english

File:

PDF, 395 KB

english, 2003

40

On Admissibility Criteria for Weak Solutions of the Euler Equations

Camillo de Lellis, László Székelyhidi

Journal:

Archive for Rational Mechanics and Analysis

Year:

2010

Language:

english

File:

PDF, 413 KB

english, 2010

41

SBV Regularity for Hamilton–Jacobi Equations in({{mathbb R}^n})

Stefano Bianchini, Camillo De Lellis, Roger Robyr

Journal:

Archive for Rational Mechanics and Analysis

Year:

2011

Language:

english

File:

PDF, 262 KB

english, 2011

42

Weak-Strong Uniqueness for Measure-Valued Solutions

Yann Brenier, Camillo De Lellis, László Székelyhidi

Journal:

Communications in Mathematical Physics

Year:

2011

Language:

english

File:

PDF, 190 KB

english, 2011

43

Structure of entropy solutions to the eikonal equation

Camillo De Lellis, Felix Otto

Journal:

Journal of the European Mathematical Society

Year:

2003

Language:

english

File:

PDF, 411 KB

english, 2003

44

Regular selections for multiple-valued functions

Camillo De Lellis, Carlo Romano Grisanti, Paolo Tilli

Journal:

Annali di Matematica Pura ed Applicata (1923 -)

Year:

2004

Language:

english

File:

PDF, 288 KB

english, 2004

45

Interaction of Fractures in Tensile Bars with Non-Local Spatial Dependence

Camillo De‐Lellis, Gianni Royer‐Carfagni

Journal:

Journal of Elasticity

Year:

2001

Language:

english

File:

PDF, 235 KB

english, 2001

46

Global Ill-Posedness of the Isentropic System of Gas Dynamics

Chiodaroli, Elisabetta, De Lellis, Camillo, Kreml, Ondřej

Journal:

Communications on Pure and Applied Mathematics

Year:

2015

Language:

english

File:

PDF, 412 KB

english, 2015

47

Low-Regularity Solutions of the Periodic Camassa–Holm Equation

Lellis, Camillo de, Kappeler, Thomas, Topalov, Peter

Journal:

Communications in Partial Differential Equations

Year:

2007

Language:

english

File:

PDF, 313 KB

english, 2007

48

The $h$-principle and the equations of fluid dynamics

De Lellis, Camillo, Székelyhidi, László

Journal:

Bulletin of the American Mathematical Society

Year:

2012

Language:

english

File:

PDF, 395 KB

english, 2012

49

A NOTE ON ADMISSIBLE SOLUTIONS OF 1D SCALAR CONSERVATION LAWS AND 2D HAMILTON–JACOBI EQUATIONS

AMBROSIO, LUIGI, DE LELLIS, CAMILLO

Journal:

Journal of Hyperbolic Differential Equations

Year:

2004

Language:

english

File:

PDF, 232 KB

english, 2004

50

10.1155/S1073792803131327

Ambrosio, Luigi, De Lellis, Camillo

Journal:

International Mathematics Research Notices

Year:

2003

Language:

english

File:

PDF, 191 KB

english, 2003