Regularity theory for 2-dimensional almost minimal currents III: blowup. J. Differential Geom.. 116(1):125-185.
BU_21.pdf (539.11 KB)
.
2020. 
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)
.
2018. 

Regularity theory for 2-dimensional almost minimal currents I: Lipschitz approximation. Transactions of the American Mathematical Society. 370:1783–1801.
tran-journal-version.pdf (313.58 KB)
.
2018. 
Regularity theory for 2-dimensional almost minimal currents II: branched center manifold. Annals of PDE. 3:1–85.
CM_52.pdf (679.77 KB)
.
2017. 
Uniqueness of tangent cones for 2-dimensional almost minimizing currents. Communications on Pure and Applied Mathematics. 70:1402–1421.
Tg_Cone_17.pdf (341.36 KB)
Errata_Uniq_T_Cones.pdf (82.72 KB)
.
2017. 

Regularity of area-minimizing currents II: center manifold. Annals of Mathematics. Second Series. 183:499–575.
cm_R_revised_22.pdf (672.32 KB)
.
2016. 
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)
.
2016. 
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. 
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 (84.88 KB)
.
2014. 

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. 

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. 
Q-valued functions revisited. Memoirs of the American Mathematical Society. 211:1–85.
memoDeSp.pdf (1.17 MB)
Errata_memo.pdf (228.44 KB)
.
2011. 
