BOOKS and LECTURE NOTES

D. Albritton; E. Brue'; M. Colombo; C. De Lellis; V. Giri; M. Janisch; H. Kwon

In Press. Volume 219 of the Annals of Mathematics Studies, Princeton University Press


C. De Lellis

In Harmonic Analysis and Applications. C. Kenig, F. Lin, S. Mayboroda, T. Toro editors. Vol 27 of IAS/Park City Mathematics Series. 2020 AMS


C. De Lellis

Chapter in the book The Abel Prize 2013-2017. H. Holden and R. Piene (editors). Springer.


C. De Lellis

The paper, in italian, has appeared first in the journal "il Volterriano". The file which can be downloaded here contains minor modifications and has been published by Rivista dell'UMI.


C. De Lellis

Proceedings of CMSA Harvard

Nonlinear analysis in geometry and applied mathematics. Part 2, 23–49,
Harv. Univ. Cent. Math. Sci. Appl. Ser. Math., 2, Int. Press, Somerville, MA, 2018.


C. De Lellis

The paper, in italian, has appeared first in the journal "il Volterriano". The file which can be downloaded here contains minor modifications and has been published by Rivista dell'UMI.


C. De Lellis

Zurich Lectures in Advanced Mathematics. European Mathematical Society (EMS), Zürich.


M. Barsanti; F. Conti; C. De Lellis; T. Franzoni

PROCEEDINGS, SURVEYS and EXPOSITORY ARTICLES in GMT

C. De Lellis

Preprint. To appear in the Proceedings of the 2022 ICM.


C. De Lellis; G. De Philippis; J. Hirsch; A. Massaccesi

2017 Matrix Annals 193-205 Springer International Publishing, 2018.


C. De Lellis

Boll. Unione Mat. Ital. 9 (2016), no. 1, 3–67.


C. De Lellis

Surveys in differential geometry 2016. Advances in geometry and mathematical physics, 1–83, Surv. Differ. Geom., 21, Int. Press, Somerville, MA, 2016.


C. De Lellis

Current developments in mathematics 2014, 153–229, Int. Press, Somerville, MA, 2016.


C. De Lellis

Proceedings of the International Congress of Mathematicians Hyderabad, India, 2010


C. De Lellis

Transport equations and multi-D hyperbolic conservation laws, 61–74, Lect. Notes Unione Mat. Ital., 5, Springer, Berlin, 2008.


T.H. Colding; C. De Lellis

Surveys in differential geometry, Vol. VIII (Boston, MA, 2002), 75–107, Int. Press, Somerville, MA, 2003.


EXPOSITORY ARTICLES and SURVEYS on the H-PRINCIPLE

C. De Lellis; L. Szekelyhidi

Philos. Trans. Roy Soc. A, 380 (2022), no. 2218, 16pp.


C. De Lellis

ICCM Not., 8(1):17-26 (2020)


C. De Lellis; L. Székelyhidi Jr.

Notices Amer. Math. Soc. 66(5):677-685, 2019.


C. De Lellis; L. Székelyhidi Jr.

Bull. Amer. Math. Soc. (N.S.) 54 (2017), no. 2, 247–282.


C. De Lellis; L. Székelyhidi Jr.

Forthcoming in Memorial Volume for Professor John Nash, eds. Joseph Kohn and Hong Jun, World Scientific Publishers, 2017


C. De Lellis; L. Székelyhidi Jr.

Eur. Math. Soc. Newsl. No. 95 (2015), 19–24.


C. De Lellis; L. Székelyhidi Jr.

European Congress of Mathematics, 13–29, Eur. Math. Soc., Zürich, 2013.


C. De Lellis; L. Székelyhidi Jr.

Bull. Amer. Math. Soc. 49, 347-375, 2012


EXPOSITORY ARTICLES in HYPERBOLIC SYSTEMS and TRANSPORT EQUATIONS

C. De Lellis

Hyperbolic problems: theory, numerics and applications, 269–278, Proc. Sympos. Appl. Math., 67, Part 1, Amer. Math. Soc., Providence, RI, 2009.


C. De Lellis

Journées équations aux dérivées partielles (2010), Exp. No. 6, 10 p.


C. De Lellis

Hyperbolic problems: theory, numerics and applications. I, 105–112, Yokohama Publ., Yokohama, 2006


C. De Lellis

Handbook of differential equations: evolutionary equations. Vol. III, 277–382, Handb. Differ. Equ., Elsevier/North-Holland, Amsterdam, 2007.


C. De Lellis

Séminaire Bourbaki. Vol. 2006/2007. Astérisque No. 317 (2008), Exp. No. 972, viii, 175–203.


INTERIOR REGULARITY for AREA MINIMIZING CURRENTS

C. De Lellis; J. Hirsch; A. Marchese; L. Spolaor; S. Stuvard

Preprint


C. De Lellis; J. Hirsch; A. Marchese; L. Spolaor; S. Stuvard

Preprint


C. De Lellis; J. Hirsch; A. Marchese; L. Spolaor; S. Stuvard

Preprint


C. De Lellis; J. Hirsch; A. Marchese; S. Stuvard

Geom. Funct. Anal., 30(5):1224-1336, 2020.


C. De Lellis; E. Spadaro; L. Spolaor

J. Differential Geom. 116 (2020), no. 1, 125-185


C. De Lellis; E. Spadaro; L. Spolaor

Ann. PDE 3 (2017), no. 2, Art. 18, 85 pp.


C. De Lellis; E. Spadaro; L. Spolaor

Trans. Amer. Math. Soc. 370 (2018), no. 3, 1783–1801


C. De Lellis; E. Spadaro

Ann. of Math. (2) 183 (2016), no. 2, 577–617.


C. De Lellis; E. Spadaro

Ann. of Math. (2) 183 (2016), no. 2, 499–575.


C. De Lellis; E. Spadaro

Geom. Funct. Anal. 24 (2014), no. 6, 1831–1884.


C. De Lellis; E. Spadaro

To appear in the Proceedings for the 2009 Conference in honor of De Giorgi and Stampacchia, held in Erice Discrete and Continuous Dynamical Systems Volume 31, Issue 4, Pages : 1249 - 1272, 2011


BOUNDARY REGULARITY for AREA MINIMIZING CURRENTS

C. De Lellis; S. Nardulli; S. Steinbruechel

Nonlinear Anal. 230 (2023), no. 113235, 10 pp. Volume in honor of Emmanuele DiBenedetto


C. De Lellis; G. De Philippis; J. Hirsch

J. Differential Geom. 122 (2022), no. 2, 205-222


C. De Lellis; G. De Philippis; J. Hirsch; A. Massaccesi

To appear in Memoirs of the American Mathematical Society


MULTIPLE VALUED FUNCTIONS

C. De Lellis; Z. Zhao

Indiana Univ. Math. J. 72 (2023), no. 4, 1367-1428


C. De Lellis; J. Hirsch; A. Marchese; S. Stuvard

Comm. Pure Appl. Math. 75 (2022), no. 1, 83-127


C. De Lellis; A. Marchese; E. Spadaro; D. Valtorta

Comment. Math. Helv. 93 (2018) no. 4, 737-779


C. De Lellis; E. Spadaro

Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 14 (2015), no. 4, 1239–1269.


C. De Lellis; M. Focardi; E. Spadaro

Annales Academiae Scientiarum Fennicae vol. 36 pp. 393-410 (2011)


C. De Lellis; E. Spadaro

Memoirs of the AMS 211 (2011), no. 991.


C. De Lellis; C.R. Grisanti; P. Tilli

Ann. Mat. Pura Appl. (4) 183 (2004), no. 1, 79–95.


OTHER WORKS in GEOMETRIC MEASURE THEORY

C. De Lellis; M. Focardi; S. Ghinassi

J. Math. Pures Appl. (9) 155 (2021), 83-110


C. De Lellis; G. De Philippis; B. Kirchheim; R. Tione

Ann. Fac. Sci. Toulouse Math. (6) 30 (2021), no. 4, 899-960


C. De Lellis; J. Ramic

Ann. Inst. Fourier (Grenoble) 68 (2018) no 5, 1909-1986


C. De Lellis; A. De Rosa; F. Ghiraldin

Adv. Calc. Var. 12 (2019) no. 2, 211-223


C. De Lellis; F. Ghiraldin; F. Maggi

J. Eur. Math. Soc. (JEMS) 19 (2017), no. 8, 2219–2240


C. De Lellis; D. Tasnady

J. Differential Geom. 95 (2013), no. 3, 355–388.


OTHER WORKS in MINIMAL SURFACES and GEODESICS

A. Carlotto; C. De Lellis

J. Differential Geom. 112(3):411-445, 2019.


T.H. Colding; C. De Lellis; W.P. Minicozzi II

Comm. Pure Appl. Math. 61 (2008), no. 11, 1540–1602.


T.H. Colding; C. De Lellis

Topology 44 (2005), no. 1, 25–45.


INCOMPRESSIBLE EULER EQUATIONS

E. Brue'; C. De Lellis

Appendix G in Alexander Migdal, Statistical equilibrium of circulating fluids, Physics Reports, 1011 (2023)


C. De Lellis; H. Kwon

Anal. PDE 15 (2022), no. 8, 2003-2059


T. Buckmaster; C. De Lellis; L. Székelyhidi Jr.; V. Vicol

Comm. Pure Appl. Math. 72 (2019), no. 2, 229-274


T. Buckmaster; C. De Lellis; L. Székelyhidi Jr.

Comm. Pure Appl. Math. 69 (2016), no. 9, 1613–1670.


T. Buckmaster; C. De Lellis; P. Isett; L. Székelyhidi Jr.

Ann. of Math. (2) 182 (2015), no. 1, 127–172.


T. Buckmaster; C. De Lellis; L. Székelyhidi Jr.

A. Choffrut; C. De Lellis; L. Székelyhidi Jr.

C. De Lellis; L. Székelyhidi Jr.

J. Eur. Math. Soc. (JEMS) 16 (2014), no. 7, 1467–1505.


C. De Lellis; L. Székelyhidi Jr.

Inventiones Mathematicae 193, Issue 2 (2013), Page 377-407


Y. Brenier; C. De Lellis; L. Székelyhidi Jr.

Comm. Math. Phys. 305 (2011), 351-361


C. De Lellis; L. Székelyhidi Jr.

Arch. Ration. Mech. Anal. 195 (2010), no. 1, 225–260.


C. De Lellis; L. Székelyhidi Jr.

Ann. of Math. (2) 170 (2009), no. 3, 1417–1436.


INCOMPRESSIBLE NAVIER STOKES

E. Brue'; M. Colombo; G. Crippa; C. De Lellis; M. Sorella

To appear in Comm. Pure Appl. Anal. in a volume in honor of Vladimir Sverak. Published online.


E. Brue'; C. De Lellis

Comm. Math. Phys. 400 (2023), no. 3, 1507-1533


M. Colombo; C. De Lellis; A. Massaccesi

Comm. Pure Appl. Math. 73 (2020), no. 3, 609–663.


M. Colombo; C. De Lellis; L. De Rosa

Comm. Math. Phys. 362 (2018) no. 2, 659-688


RIGIDITY ESTIMATES

C. De Lellis; P.M. Topping

Calc. Var. 43 (2012) 347-354


C. De Lellis; S. Müller

Calc. Var. Partial Differential Equations 26 (2006), no. 3, 283–296.


C. De Lellis; S. Müller

J. Differential Geom. 69 (2005), no. 1, 75–110.


ISOMETRIC EMBEDDINGS

C. De Lellis; M.Reza Pakzad

Preprint


C. De Lellis; D. Inauen

Adv. Math. 363 (2020)


C. De Lellis; D. Inauen; L. Székelyhidi Jr.

Rev. Mat. Iberoam. 34 (2018) no. 3, 1119-1152


S. Conti; C. De Lellis; L. Székelyhidi Jr.

Nonlinear Partial Differential Equations Abel Symposia Volume 7, 2012, pp 83-116


TRANSPORT EQUATIONS

C. De Lellis; V. Giri

Ann. Math. Que'. 46 (2022), no. 1, 27-39 A volume in honor of Alexander Shnirelman


E. Brue'; M. Colombo; C. De Lellis

Arch. Ration. Mech. Anal. 240(2):1055-1090, 2021.


C. De Lellis; P. Gwiazda; A. Swierczewska-Gwiazda

Calc. Var. Partial Differential Equations 55 (2016), no. 5, Paper No. 128, 17 pp.


G. Crippa; C. De Lellis

J. Reine Angew. Math. 616 (2008), 15–46.


G. Crippa; C. De Lellis

Indiana Univ. Math. J. 55 (2006), no. 1, 1–13.


L. Ambrosio; C. De Lellis; J. Maly

Perspectives in nonlinear partial differential equations, 31–67, Contemp. Math., 446, Amer. Math. Soc., Providence, RI, 2007.


HYPERBOLIC SYSTEMS OF CONSERVATION LAWS

A. Bressan; C. De Lellis

To appear in Arch. Ration. Anal. Mech.


E. Chiodaroli; C. De Lellis; O. Kreml

Hyperbolic problems: theory, numerics, applications, 1–10, AIMS Ser. Appl. Math., 8, Am. Inst. Math. Sci. (AIMS), Springfield, MO, 2014.


E. Chiodaroli; C. De Lellis; O. Kreml

Comm. Pure Appl. Math. 68 (2015), no. 7, 1157–1190.


L. Ambrosio; F. Bouchut; C. De Lellis

Comm. Partial Differential Equations 29 (2004), no. 9-10, 1635–1651.


SCALAR CONSERVATION LAWS AND HAMILTON JACOBI EQUATIONS

C. De Lellis; R. Ignat

Comm. Partial Differential Equations 40 (2015), no. 8, 1543–1557.


C. De Lellis; R. Robyr

Arch. Ration. Mech. Anal. 200 (2011) 1051-1073


S. Bianchini; C. De Lellis; R. Robyr

Arch. Ration. Mech. Anal. 200 (2011) 1003-1021


C. De Lellis; F. Golse

Comm. Pure Appl. Math. 58 (2005), no. 7, 989–998.


C. De Lellis; T. Rivière

J. Math. Pures Appl. (9) 82 (2003), no. 10, 1343–1367.


C. De Lellis; F. Otto; M. Westdickenberg

Quart. Appl. Math. 62 (2004), no. 4, 687–700.


C. De Lellis; M. Westdickenberg

Ann. Inst. H. Poincaré Anal. Non Linéaire 20 (2003), no. 6, 1075–1085.


C. De Lellis; F. Otto; M. Westdickenberg

Arch. Ration. Mech. Anal. 170 (2003), no. 2, 137–184


VECTORIAL CALCULUS OF VARIATIONS

C. De Lellis; F. Ghiraldin

C. R. Math. Acad. Sci. Paris 348 (2010), no. 17-18, 973–976


C. De Lellis; L. Székelyhidi Jr.

C. R. Math. Acad. Sci. Paris 343 (2006), no. 5, 367–370


S. Conti; C. De Lellis; S. Müller; M. Romeo

C. R. Math. Acad. Sci. Paris 337 (2003), no. 4, 233–238.


C. De Lellis

Nonlinear Anal. 53 (2003), no. 7-8, 1101–1114.


C. De Lellis; G. Royer-Carfagni

J. Elasticity 65 (2001), no. 1-3, 1–31 (2002).


PHASE TRANSITIONS

S. Conti; C. De Lellis

Math. Ann. 338 (2007), no. 1, 119–146.


C. De Lellis; F. Otto

J. Eur. Math. Soc. (JEMS) 5 (2003), no. 2, 107–145.


L. Ambrosio; C. De Lellis; C. Mantegazza

Calc. Var. Partial Differential Equations 9 (1999), no. 4, 327–255.


OTHER

G. Alberti; H. Bolcskey; C. De Lellis; G. Kolliander; E. Riegler

IEEE Trans. Inform. Theory, 65(11):7480-7513, 2019.


C. De Lellis; D. Inauen

Comm. Partial Differential Equations 42 (2017), no. 10, 1510–1523.


G. Alberti; H. Bolcskey; C. De Lellis; G. Kolliander; E. Riegler

Proc. IEEE Int. Symp. Inf. Th., Barcelona, Spain, Jul. 2016, pp. 2789-2793.


A. Bressan; C. De Lellis

Comm. Pure Appl. Math. 62 (2009), no. 6, 789–830.


C. De Lellis; T. Kappeler; P. Topalov

Comm. Partial Differential Equations 32 (2007), no. 1-3, 87–126.