Q-valued functions revisited. Memoirs of the American Mathematical Society. 211:1–85.
memoDeSp.pdf (1.17 MB)
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2011. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
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Rectifiability and upper Minkowski bounds for singularities of harmonic Q-valued maps. Commentarii Mathematici Helvetici (CMH). 93:737–779.
Q-rect-45.pdf (380.77 KB)
Errata-Q-rect.pdf (58.05 KB)
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2018. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
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The rectifiability of entropy measures in one space dimension.. Journal de Mathematiques Pures et Appliquees. 82:1343–1367.
Tri_JMPA.pdf (222.23 KB)
Errata_JMPA.pdf (116.41 KB)
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2003. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
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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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Regular selections for multiple-valued functions.. Annali di Matematica Pura ed Applicata. 183:79–95.
multi_annali.pdf (287.75 KB)
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2004. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
Regularity of area minimizing currents mod $p$. Geom. Funct. Anal.. 30((5)):1224-1336.
DLHMS_nonlinear_2.pdf (978.39 KB)
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2020. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
Regularity of area-minimizing currents I: L^p gradient estimates. Geometric and Functional Analysis. 24:1831–1884.
Lp_revised.pdf (544.31 KB)
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2014. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
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Regularity of area-minimizing currents II: center manifold. Annals of Mathematics. Second Series. 183:499–575.
cm_R_revised_22.pdf (672.32 KB)
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2016. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
Regularity of area-minimizing currents III: blow-up. Annals of Mathematics. Second Series. 183:577–617.
blow_up_R_revised_22.pdf (478.98 KB)
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2016. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
The regularity of minimal surfaces in higher codimension. Current developments in mathematics 2014. :153-229.
survey_CDM_24.pdf (630.06 KB)
errata-survey-CDM.pdf (94.34 KB)
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2016. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
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Regularity theory for 2-dimensional almost minimal currents I: Lipschitz approximation. Transactions of the American Mathematical Society. 370:1783–1801.
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2018. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
Regularity theory for 2-dimensional almost minimal currents II: branched center manifold. Annals of PDE. 3:1–85.
CM_52.pdf (679.77 KB)
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2017. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
Regularity theory for 2-dimensional almost minimal currents III: blowup. J. Differential Geom.. 116(1):125-185.
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2020. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
A regularizing property of the 2d-eikonal equation. Communications in Partial Differential Equations. 40:1543–1557.
Eikonal_deLellis_Ignat_final.pdf (222.4 KB)
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2015. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
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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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)
Simple proof of two-well rigidity.. Comptes Rendus Mathematique. 343:367–370.
2Wells_CRAS.pdf (113.36 KB)
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2006. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
Singular limit laminations, Morse index, and positive scalar curvature.. Topology. 44:25–45.
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2005. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
The size of the singular set of area-minimizing currents. Surv. Differ. Geom.. 21:1-83.
survey_JDG_23.pdf (666.39 KB)
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2016. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
Some fine properties of currents and applications to distributional Jacobians.. Proceedings of the Royal Society of Edinburgh: Section A. 132:815–842.
Edin_2002.pdf (321.76 KB)
errata_Edin.pdf (97.75 KB)
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2002. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
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Some remarks on the distributional Jacobian.. Nonlinear Analysis: Theory, Methods & Applications. 53:1101–1114.
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2003. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
Some remarks on the theory of elasticity for compressible Neohookean materials.. Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V. 2:521–549.
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2003. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
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Structure of entropy solutions for multi-dimensional scalar conservation laws.. Archiv for Rational Mechanics and Analysis. 170:137–184.
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2003. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
Structure of entropy solutions to the eikonal equation.. Journal of the European Mathematical Society. 5:107–145.
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2003. .
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