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Luca Spolaor
Luca Spolaor
MIT
Verified email at ucsd.edu - Homepage
Title
Cited by
Cited by
Year
A logarithmic epiperimetric inequality for the obstacle problem
M Colombo, L Spolaor, B Velichkov
Geometric and Functional Analysis 28 (4), 1029-1061, 2018
342018
Uniqueness of Tangent Cones for Two‐Dimensional Almost‐Minimizing Currents
C De Lellis, E Spadaro, L Spolaor
Communications on Pure and Applied Mathematics 70 (7), 1402-1421, 2017
302017
Regularity theory for 2-dimensional almost minimal currents II: branched center manifold
C De Lellis, E Spadaro, L Spolaor
Annals of PDE 3 (2), 1-85, 2017
292017
Direct epiperimetric inequalities for the thin obstacle problem and applications
M Colombo, L Spolaor, B Velichkov
Communications on Pure and Applied Mathematics 73 (2), 384-420, 2020
282020
Regularity theory for 2-dimensional almost minimal currents I: Lipschitz approximation
C De Lellis, E Spadaro, L Spolaor
Transactions of the American Mathematical Society 370 (3), 1783-1801, 2018
242018
An Epiperimetric Inequality for the Regularity of Some Free Boundary Problems: The 2‐Dimensional Case
L Spolaor, B Velichkov
Communications on Pure and Applied Mathematics 72 (2), 375-421, 2019
232019
Regularity of the free boundary for the two-phase Bernoulli problem
G De Philippis, L Spolaor, B Velichkov
Inventiones mathematicae 225 (2), 347-394, 2021
222021
Regularity theory for -dimensional almost minimal currents III: blowup
C De Lellis, E Spadaro, L Spolaor
arXiv preprint arXiv:1508.05510, 2015
192015
The singular set of minimal surfaces near polyhedral cones
M Colombo, N Edelen, L Spolaor
arXiv preprint arXiv:1709.09957, 2017
152017
Uniqueness of the blowup at isolated singularities for the Alt–Caffarelli functional
M Engelstein, L Spolaor, B Velichkov
Duke Mathematical Journal 169 (8), 1541-1601, 2020
112020
Free boundary regularity for a multiphase shape optimization problem
L Spolaor, B Trey, B Velichkov
Communications in Partial Differential Equations 45 (2), 77-108, 2020
112020
Almgren's type regularity for semicalibrated currents
L Spolaor
Advances in Mathematics 350, 747-815, 2019
10*2019
Singular behavior and generic regularity of min-max minimal hypersurfaces
O Chodosh, Y Liokumovich, L Spolaor
arXiv preprint arXiv:2007.11560, 2020
92020
On the asymptotic behavior of the solutions to parabolic variational inequalities
M Colombo, L Spolaor, B Velichkov
Journal für die reine und angewandte Mathematik (Crelles Journal) 2020 (768 …, 2020
62020
Regularity theory for -dimensional almost minimal currents III: Blowup
C De Lellis, E Spadaro, L Spolaor
Journal of Differential Geometry 116 (1), 125-185, 2020
62020
Uniqueness of tangent cones for -dimensional almost minimizing currents
C De Lellis, E Spadaro, L Spolaor
arXiv preprint arXiv:1508.05266, 2015
62015
Regularity of minimal surfaces near quadratic cones
N Edelen, L Spolaor
arXiv preprint arXiv:1910.00441, 2019
52019
Regularity theory for 2-dimensional almost minimal currents I: Lipschitz approximation. ArXiv e-prints
C De Lellis, E Spadaro, L Spolaor
Trans. Amer. Math. Soc, 2015
52015
The singular set of minimal surfaces near polyhedral cones
M Colombo, N Edelen, L Spolaor
Journal of Differential Geometry 120 (3), 411-503, 2022
42022
Regularity theory for 2-dimensional almost minimizing currents I: Lipschitz approximation
C De Lellis, E Spadaro, L Spolaor
Preprint, 2015
42015
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Articles 1–20