Existence of minimizers for spectral problems D Mazzoleni, A Pratelli Journal de Mathématiques Pures et Appliquées 100 (3), 433-453, 2013 | 87 | 2013 |
Lipschitz regularity of the eigenfunctions on optimal domains D Bucur, D Mazzoleni, A Pratelli, B Velichkov Archive for Rational Mechanics and Analysis 216 (1), 117-151, 2015 | 57 | 2015 |
Regularity of the optimal sets for some spectral functionals D Mazzoleni, S Terracini, B Velichkov Geometric and Functional Analysis 27 (2), 373-426, 2017 | 49 | 2017 |
Regularity of the free boundary for the vectorial Bernoulli problem D Mazzoleni, S Terracini, B Velichkov Analysis & PDE 13 (3), 741-764, 2020 | 27 | 2020 |
Asymptotic spherical shapes in some spectral optimization problems D Mazzoleni, B Pellacci, G Verzini Journal de Mathématiques Pures et Appliquées 135, 256-283, 2020 | 17 | 2020 |
On principal frequencies, volume and inradius in convex sets L Brasco, D Mazzoleni Nonlinear Differential Equations and Applications NoDEA 27 (2), 1-26, 2020 | 15 | 2020 |
A surgery result for the spectrum of the Dirichlet Laplacian D Bucur, D Mazzoleni SIAM Journal on Mathematical Analysis 47 (6), 4451-4466, 2015 | 15 | 2015 |
Regularity of the optimal sets for the second Dirichlet eigenvalue D Mazzoleni, B Trey, B Velichkov Annales de l'Institut Henri Poincaré C, 2022 | 8 | 2022 |
Optimization results for the higher eigenvalues of the ‐Laplacian associated with sign‐changing capacitary measures M Degiovanni, D Mazzoleni Journal of the London Mathematical Society 104 (1), 97-146, 2021 | 8 | 2021 |
A spectral shape optimization problem with a nonlocal competing term D Mazzoleni, B Ruffini Calculus of Variations and Partial Differential Equations 60 (3), 1-46, 2021 | 5 | 2021 |
Quantitative analysis of a singularly perturbed shape optimization problem in a polygon D Mazzoleni, B Pellacci, G Verzini 2018 MATRIX Annals, 275-283, 2020 | 5 | 2020 |
Convex combinations of low eigenvalues, Fraenkel asymmetries and attainable sets D Mazzoleni, D Zucco ESAIM: Control, Optimisation and Calculus of Variations, 2017 | 5 | 2017 |
Minimising convex combinations of low eigenvalues M Iversen, D Mazzoleni ESAIM: Control, Optimisation and Calculus of Variations 20 (2), 442-459, 2014 | 5 | 2014 |
Singular analysis of the optimizers of the principal eigenvalue in indefinite weighted Neumann problems D Mazzoleni, B Pellacci, G Verzini SIAM Journal on Mathematical Analysis 55 (4), 4162-4192, 2023 | 4 | 2023 |
Regularity of the optimal sets for a class of integral shape functionals G Buttazzo, FP Maiale, D Mazzoleni, G Tortone, B Velichkov Archive for Rational Mechanics and Analysis 248 (3), 44, 2024 | 3 | 2024 |
Boundedness of minimizers for spectral problems in D Mazzoleni Rendiconti del Seminario Matematico della Università di Padova 135, 207-221, 2016 | 3 | 2016 |
-Gradient Flows of Spectral Functionals D Mazzoleni, G Savaré arXiv preprint arXiv:2203.07304, 2022 | 2 | 2022 |
Some estimates for the higher eigenvalues of sets close to the ball D Mazzoleni, A Pratelli Journal of Spectral Theory 9 (4), 1385-1403, 2019 | 2 | 2019 |
Existence and regularity results for solutions of spectral problems D Mazzoleni Ph. D. Thesis, Università à di Pavia and Friedrich-Alexander Universität …, 2014 | 2 | 2014 |
On the dimension of the singular set in optimization problems with measure constraint D Mazzoleni, G Tortone, B Velichkov arXiv preprint arXiv:2310.06591, 2023 | 1 | 2023 |