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)
.
2010. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
Hyperbolic equations and SBV functions. Journées équations aux dérivées partielles. :1–10.
JEDP_2010_A6_0.pdf (514.5 KB)
.
2010. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
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)
.
2011. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
Hamilton-Jacobi equations with obstacles. Archive for Rational Mechanics and Analysis. 200:1051–1073.
Obs_Ham.pdf (295.72 KB)
.
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)
.
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)
.
2011. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
![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)
.
2011. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
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)
.
2011. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
Almost Schur Lemma. Calculus of Variations and Partial Differential Equations. 43:347–354.
almost_schur.pdf (375.96 KB)
.
2012. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
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)
.
2012. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
Continuous dissipative Euler flows and a conjecture of Onsager.. European Congress of Mathematics.
de_lellis_proc_ECM_4.pdf (382.6 KB)
Errata_proc_ECM.pdf (36.71 KB)
.
2013. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
Density lower bound estimates for local minimizers of the 2d Mumford-Shah energy. Manuscripta Mathematica. 42:215–232.
MS_DLB15.pdf (341.6 KB)
.
2013. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
Dissipative continuous Euler flows. Inventiones Mathematicae. 193:377–407.
continuous_new12.pdf (374.68 KB)
.
2013. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
The existence of embedded minimal hypersurfaces. Journal of Differential Geometry. 95:355–388.
JDG_final.pdf (318.43 KB)
Errata_MinMax_sets.pdf (54.93 KB)
.
2013. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
Higher integrability of the gradient for minimizers of the 2d Mumford-Shah energ. Journal de Mathématiques Pures et Appliquées. 100:391–409.
MS_Higher40.pdf (422.95 KB)
.
2013. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
Il teorema di Liouville ovvero perche' ``non esiste'' la primitiva di exp(x^2). Il Volterriano. 11:33–61.
Liouville_finale.pdf (366.16 KB)
Errata_Liouville.pdf (99.15 KB)
.
2013. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
Dissipative Euler Flows and Onsager's Conjecture. J. Eur. Math. Soc. (JEMS). 16(7):1467-1505.
hoelder_final.pdf (383.42 KB)
Errata_hoelder.pdf (54.42 KB)
.
2014. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
A note on the Hausdorff dimension of the singular set for minimizers of the Mumford-Shah functional. Advances in Calculus of Variations. 7:539–545.
StimaSing20130417.pdf (273.62 KB)
.
2014. ![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)
Errata_Lp.pdf (114.59 KB)
.
2014. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
Anomalous dissipation for 1/5-Hoelder Euler flows. Annals of Mathematics. Second Series. 128:127–172.
onefifth_75.pdf (631.1 KB)
Errata_onefifth.pdf (78.93 KB)
.
2015. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
Global ill-posedness of the isentropic system of gas dynamics. Communications on Pure and Applied Mathematics. 68:1157–1190.
Riemann_15.pdf (393.84 KB)
.
2015. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
The $h$-principle and Onsager's conjecture. Eur. Math. Soc. Newsl. 95:19-24.
DeLellis_Szekelyhidi_ems_7.pdf (108.78 KB)
.
2015. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
Multiple valued functions and integral currents. Ann. Sc. Norm. Super. Pisa Cl. Sci. (5). 14(4):1239-1269.
complementi_R.pdf (427.54 KB)
.
2015. ![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)
.
2015. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
$2$-dimensional almost area minimizing currents. Boll. Unione Mat. Ital.. 9(1):3–67.
survey_BUMI_24.pdf (636.4 KB)
.
2016. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)