Localizing solutions of the Einstein constraint equations A Carlotto, R Schoen Inventiones mathematicae 205, 559-615, 2016 | 85 | 2016 |
Effective versions of the positive mass theorem A Carlotto, O Chodosh, M Eichmair Inventiones mathematicae 206, 975-1016, 2016 | 74 | 2016 |
Lectures on elliptic partial differential equations L Ambrosio, A Carlotto, A Massaccesi Springer, 2019 | 66 | 2019 |
Weighted barycentric sets and singular Liouville equations on compact surfaces A Carlotto, A Malchiodi Journal of Functional Analysis 262 (2), 409-450, 2012 | 55 | 2012 |
Index estimates for free boundary minimal hypersurfaces L Ambrozio, A Carlotto, B Sharp Mathematische Annalen 370, 1063-1078, 2018 | 51 | 2018 |
Comparing the Morse index and the first Betti number of minimal hypersurfaces L Ambrozio, A Carlotto, B Sharp Journal of Differential Geometry 108 (3), 379-410, 2018 | 50 | 2018 |
Compactness analysis for free boundary minimal hypersurfaces L Ambrozio, A Carlotto, B Sharp Calculus of Variations and Partial Differential Equations 57, 1-39, 2018 | 44 | 2018 |
Free boundary minimal surfaces with connected boundary and arbitrary genus A Carlotto, G Franz, MB Schulz Cambridge Journal of Mathematics 10 (4), 835-857, 2020 | 34 | 2020 |
Slowly converging Yamabe flows A Carlotto, O Chodosh, Y Rubinstein Geometry & Topology 19 (3), 1523-1568, 2015 | 33 | 2015 |
Rigidity of stable minimal hypersurfaces in asymptotically flat spaces A Carlotto Calculus of variations and partial differential equations 55 (3), 54, 2016 | 30 | 2016 |
Constrained deformations of positive scalar curvature metrics, II A Carlotto, C Li arXiv preprint arXiv:2107.11161, 2021 | 24 | 2021 |
Generic finiteness of minimal surfaces with bounded Morse index A Carlotto Ann. Scuola Normale Superiore 17 (3), 1153-1171, 2015 | 22 | 2015 |
On the solvability of singular Liouville equations on compact surfaces of arbitrary genus A Carlotto Transactions of the American Mathematical Society 366 (3), 1237-1256, 2014 | 22 | 2014 |
The general relativistic constraint equations A Carlotto Living Reviews in Relativity 24 (1), 2, 2021 | 21 | 2021 |
Compactness of the Space of Minimal Hypersurfaces with Bounded Volume and p-th Jacobi Eigenvalue L Ambrozio, A Carlotto, B Sharp The Journal of Geometric Analysis 26 (4), 2591-2601, 2016 | 18 | 2016 |
Bubbling analysis and geometric convergence results for free boundary minimal surfaces L Ambrozio, R Buzano, A Carlotto, B Sharp Journal de l’École polytechnique—Mathématiques 6, 621-664, 2019 | 14 | 2019 |
Inequivalent complexity criteria for free boundary minimal surfaces A Carlotto, G Franz Advances in Mathematics 373, 107322, 2020 | 11 | 2020 |
Lectures on elliptic partial differential equations, volume 18 of Appunti L Ambrosio, A Carlotto, A Massaccesi Scuola Normale Superiore di Pisa (Nuova Serie)[Lecture Notes. Scuola Normale …, 2018 | 11 | 2018 |
Min-max embedded geodesic lines in asymptotically conical surfaces A Carlotto, C De Lellis Journal of Differential Geometry 112 (3), 411-445, 2019 | 10 | 2019 |
A class of existence results for the singular Liouville equation A Carlotto, A Malchiodi Comptes Rendus Mathematique 349 (3-4), 161-166, 2011 | 10 | 2011 |