Journal publications
The anisotropic Min-Max theory: Existence of anisotropic minimal and CMC surfaces. G. De Philippis, and A. De Rosa. Communications on Pure and Applied Mathematics. 2024. https://doi.org/10.1002/cpa.22189
Boundary regularity for anisotropic minimal Lipschitz graphs. A. De Rosa, and R. Resende. Communications in Partial Differential Equations. Volume 49, Issue 1-2, Pages 15-37, 2024.
Efficient Joint Object Matching via Linear Programming. A. De Rosa, and A. Khajavirad. Mathematical Programming. Volume 202, Pages 1–46, 2023.
Regularity for graphs with bounded anisotropic mean curvature. A. De Rosa, and R. Tione. Inventiones mathematicae. Volume 230, Pages 463-507, 2022.
The ratio-cut polytope and K-means clustering. A. De Rosa, and A. Khajavirad. SIAM Journal on Optimization. Volume 32, Issue 1, Pages 173-203, 2022.
Stability of optimal traffic plans in the irrigation problem. M. Colombo, A. De Rosa, A. Marchese, P. Pegon, and A. Prouff. Discrete and Continuous Dynamical Systems. Volume 42, Issue 4, Pages 1647-1667, 2022.
On the anisotropic Kirchhoff-Plateau problem. A. De Rosa, and L. Lussardi. Mathematics in Engineering. Volume 4, Issue 2, Pages 1-13, 2022.
On the well-posedness of branched transportation. M. Colombo, A. De Rosa, and A. Marchese. Communications on Pure and Applied Mathematics. Volume 74, Issue 4, Pages 833-864, 2021.
Absence of bubbling phenomena for non convex anisotropic nearly umbilical and quasi Einstein hypersurfaces. A. De Rosa, and S. Gioffrè. Journal für die reine und angewandte Mathematik. Volume 2021, Issue 780, Pages 1-40, 2021.
A nonlocal approximation of the Gaussian perimeter: Gamma convergence and Isoperimetric properties. A. De Rosa, and D. A. La Manna. Communications on Pure and Applied Analysis. Volume 20, Number 5, Pages 2101-2116, 2021.
Uniqueness of critical points of the anisotropic isoperimetric problem for finite perimeter sets. A. De Rosa, S. Kolasiński, and M. Santilli. Archive for Rational Mechanics and Analysis. Volume 238, Issue 3, Pages 1157–1198, 2020.
Equivalence of the ellipticity conditions for geometric variational problems. A. De Rosa, and S. Kolasiński. Communications on Pure and Applied Mathematics. Volume 73, Issue 11, Pages 2473-2515, 2020.
Existence results for minimizers of parametric elliptic functionals. G. De Philippis, A. De Rosa, and F. Ghiraldin. Journal of Geometric Analysis. Volume 30, Issue 2, Pages 1450–1465, 2020.
The Area Blow Up set for bounded mean curvature submanifolds with respect to elliptic surface energy functionals. G. De Philippis, A. De Rosa, and J. Hirsch. Discrete and Continuous Dynamical Systems. Volume 39, Issue 12, Pages 7031-7056, 2019.
Stability for the mailing problem. M. Colombo, A. De Rosa, and A. Marchese. Journal de Mathématiques Pures et Appliquées. Volume 128, Pages 152-182, 2019.
Quantitative stability for anisotropic nearly umbilical hypersurfaces. A. De Rosa, and S. Gioffrè. Journal of Geometric Analysis. Volume 29, Issue 3, Pages 2318-2346, 2019.
A direct approach to the anisotropic Plateau’s problem. C. De Lellis, A. De Rosa, and F. Ghiraldin. Advances in Calculus of Variations. Volume 12 Issue 2, Pages 211-223, 2019.
Rectifiability of varifolds with locally bounded first variation with respect to anisotropic surface energies. G. De Philippis, A. De Rosa, and F. Ghiraldin. Communications on Pure and Applied Mathematics. Volume 71, Issue 6, Pages 1123-1148, 2018.
Minimization of anisotropic energies in classes of rectifiable varifolds. A. De Rosa. SIAM Journal on Mathematical Analysis. Volume 50, No. 1, Pages 162-181, 2018.
Improved stability of optimal traffic paths. M. Colombo, A. De Rosa, and A. Marchese. Calculus of Variations and Partial Differential Equations. Volume 57, Issue 28, 2018.
On the lower semicontinuous envelope of functionals defined on polyhedral chains. M. Colombo, A. De Rosa, A. Marchese, and S. Stuvard. Nonlinear Analysis. Volume 163C, Pages 201-215, 2017.
A direct approach to Plateau’s problem in any codimension. G. De Philippis, A. De Rosa, and F. Ghiraldin. Advances in Mathematics. Volume 288, Pages 59-80, 2016.
Submitted papers
On the power of linear programming for K-means clustering. A. De Rosa, and A. Khajavirad. Submitted. 2024. ArXiv:2402.01061
Construction of fillings with prescribed Gaussian image and applications. A. De Rosa, Y. Lei, and R. Young. Submitted. 2024. ArXiv:2401.10858
Local Minimizers of the Anisotropic Isoperimetric Problem on Closed Manifolds. A. De Rosa, and R. Neumayer. Submitted. 2023. ArXiv:2308.04565
The double and triple bubble problem for stationary varifolds: the convex case. A. De Rosa, and R. Tione. Submitted. 2023. ArXiv:2301.10705
Explicit convex hull description of bivariate quadratic sets with indicator variables. A. De Rosa, and A. Khajavirad. Submitted. 2022. ArXiv: 2208.08703
Interdisciplinary papers
Functional changes in prefrontal cortex following frequency-specific training. L. Bach-Morrow, F. Boccalatte, A. De Rosa, D. Devos, C. Garcia-Sanchez, M. Inglese, A. Droby. Nature Scientific Reports. 12, Article number: 20316, 2022.
Proposing an Unbiased Oxygen Reduction Reaction Onset Potential Determination by Using a Savitzky-Golay Differentiation Procedure. G. de Falco, M. Florent, A. De Rosa, T.J. Bandosz, Journal of Colloid and Interface Science. Volume 586, Pages 597-600, 2021.
Reports and Proceedings
Min-max construction of anisotropic CMC surfaces. A. De Rosa. Calculus of Variations. Oberwolfach Reports. DOI: 10.14760/OWR-2022-37 (Lia Bronsard, László Székelyhidi, Yoshihiro Tonegawa, Tatiana Toro), 2022.
Regularity of anisotropic minimal surfaces. A. De Rosa. Partial Differential Equations. Oberwolfach Reports. DOI: 10.4171/OWR/2021/35 (Guido De Philippis, Richard Schoen, Felix Schulze), 2021.
Anisotropic counterpart of Allard’s rectifiability theorem and applications. A. De Rosa. Calculus of Variations. Oberwolfach Reports. Volume 15, no. 3, Pages 2077-2156 (Alessio Figalli, Robert V. Kohn, Tatiana Toro, Neshan Wickramasekera), 2019.