Existence of minimizers for spectral problems D Mazzoleni, A Pratelli
Journal de Mathématiques Pures et Appliquées 100 (3), 433-453, 2013
95 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
61 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
53 2017 Regularity of the free boundary for the vectorial Bernoulli problem D Mazzoleni, S Terracini, B Velichkov
Analysis & PDE 13 (3), 741-764, 2020
31 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
20 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
18 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
9 2022 Optimization results for the higher eigenvalues of the M Degiovanni, D Mazzoleni
Journal of the London Mathematical Society 104 (1), 97-146, 2021
9 2021 Convex combinations of low eigenvalues, Fraenkel asymmetries and attainable sets D Mazzoleni, D Zucco
ESAIM: Control, Optimisation and Calculus of Variations, 2017
7 2017 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
5 2023 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 Minimising convex combinations of low eigenvalues M Iversen, D Mazzoleni
ESAIM: Control, Optimisation and Calculus of Variations 20 (2), 442-459, 2014
5 2014 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
4 2024 Boundedness of minimizers for spectral problems in D Mazzoleni
Rendiconti del Seminario Matematico della Università di Padova 135, 207-221, 2016
3 2016 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 