The h-principle and the equations of fluid dynamics.. Bulletin of the American Mathematical Society. 49:347–375.
bull1376.pdf (426.95 KB)
Errata_Euler_BullAMS.pdf (45.6 KB)
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2012. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
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Center manifold: a case study. Discrete and Continuous Dynamical Systems - Series A. 31:1249–1272.
DeLellis_Spadaro.pdf (482.25 KB)
Errata_CM_Case_study.pdf (103.47 KB)
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2011. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
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Hamilton-Jacobi equations with obstacles. Archive for Rational Mechanics and Analysis. 200:1051–1073.
Obs_Ham.pdf (295.72 KB)
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2011. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
Lower semicontinuous functionals for Almgren's multiple valued functions. Annales Academiae Scientiarum Fennicae. Mathematica. 36:393–410.
DL_Fo_Sp.pdf (544.99 KB)
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2011. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
Q-valued functions revisited. Memoirs of the American Mathematical Society. 211:1–85.
memoDeSp.pdf (1.17 MB)
Errata_memo2.pdf (229.61 KB)
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2011. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
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SBV Regularity for Hamilton-Jacobi Equations in R^n. Archiv for Rational Mechanics and Analysis. 200:1003–1021.
Ham_SBV.pdf (261.79 KB)
Errata_SBV_Hm.pdf (63.89 KB)
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2011. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
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Weak-strong uniqueness for measure-valued Solutions. Communications in Mathematical Physics. 305:351–361.
mvsolutions_published.pdf (189.61 KB)
errata_mvsolutions.pdf (75.43 KB)
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2011. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
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On admissibility criteria for weak solutions of the Euler equations.. Archiv for Rational Mechanics and Analysis. 195:225–260.
EulerARMA.pdf (413.39 KB)
Errata-Euler-ARMA.pdf (50.02 KB)
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2010. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
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Almgren's Q-valued functions revisited. Proceedings of the International Congress of Mathematicians Hyderabad. :1–24.
icm2010_final_version.pdf (265.36 KB)
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2010. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
An extension of the identity Det=det.. Comptes Rendus Mathematique. 348:973–976.
Det_detCRAS.pdf (146.34 KB)
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2010. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
Genus bounds for minimal surfaces arising from min-max constructions.. Journal für die Reine und Angewandte Mathematik. 2010:47–99.
genus73.pdf (472.29 KB)
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2010. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
h-principle and rigidity for $C^{1,\alpha}$ isometric embeddings. Proceedings from the Abel Symposium 2010. :83–116.
iso60.pdf (233.93 KB)
Errata-iso.pdf (174.62 KB)
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2010. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
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Hyperbolic equations and SBV functions. Journées équations aux dérivées partielles. :1–10.
JEDP_2010_A6_0.pdf (514.5 KB)
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2010. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
Existence of optimal strategies for a fire confinement problem.. Communications on Pure and Applied Mathematics. 62:789–830.
FireCPAM.pdf (364.62 KB)
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2009. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
Estimates and regularity results for the DiPerna-Lions flow.. Crelle. 616:15–46.
Estimates_ODEs.pdf (298.06 KB)
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2008. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
Le equazioni di Eulero dal punto di vista delle inclusioni differenziali (Italian). Boll. Unione Mat. Ital. (9). 1(3):873-879.
De_Lellis.pdf (212.78 KB)
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2008. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
A note on Alberti's rank-one theorem.. Transport Equations and Multi-D Hyperbolic Conservation Laws. 5:61–74.
giovanni23.pdf (186.07 KB)
Errata_R1.pdf (85.14 KB)
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2008. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
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ODEs with Sobolev coefficients: the Eulerian and the Lagrangian approach.. Discrete and Continuous Dynamical Systems. Series S. 1:405–426.
Eul_vs_Lag.pdf (277.64 KB)
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2008. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
Ordinary differential equations with rough coefficients and the renormalization theorem of Ambrosio [after Ambrosio, DiPerna, Lions].. Séminaire Bourbaki. 2006/2007:175–203.
Exp.972.C.DeLellis.pdf (248.93 KB)
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2008. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
Rectifiable sets, densities and tangent measures. Zurich Lectures in Advanced Mathematics. 7
Delellis_note136_corrected.pdf (708.89 KB)
Errata_libro.pdf (163.2 KB)
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2008. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
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Three circles theorems for Schrödinger operators on cylindrical ends and geometric applications.. Communications on Pure and Applied Mathematics. 61:1540–1602.
3CirclesCPAM.pdf (462.46 KB)
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2008. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
On the chain rule for the divergence of BV-like vector fields: applications, partial results, open problems.. Perspectives in nonlinear partial differential equations. 446:31–67.
chain100.pdf (364.46 KB)
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2007. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
Low-regularity solutions of the periodic Camassa-Holm equation.. Communications in Partial Differential Equations. 32:87–126.
Camassa_Holm.pdf (281.99 KB)
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2007. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
Sharp upper bounds for a variational problem with singular perturbation.. Mathematische Annalen. 338:119–146.
Glim_MathAnn.pdf (456.79 KB)
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2007. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
A $C^0$ estimate for nearly umbilical surfaces.. Calculus of Variations and Partial Differential Equations. 26:283–296.
UmbC0.pdf (319.23 KB)
Errata-umbilical-2.pdf (95.55 KB)
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2006. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
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