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Dario Mazzoleni
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Cited by
Year
Existence of minimizers for spectral problems
D Mazzoleni, A Pratelli
Journal de Mathématiques Pures et Appliquées 100 (3), 433-453, 2013
862013
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
572015
Regularity of the optimal sets for some spectral functionals
D Mazzoleni, S Terracini, B Velichkov
Geometric and Functional Analysis 27 (2), 373-426, 2017
502017
Regularity of the free boundary for the vectorial Bernoulli problem
D Mazzoleni, S Terracini, B Velichkov
Analysis & PDE 13 (3), 741-764, 2020
262020
Asymptotic spherical shapes in some spectral optimization problems
D Mazzoleni, B Pellacci, G Verzini
Journal de Mathématiques Pures et Appliquées 135, 256-283, 2020
152020
On principal frequencies, volume and inradius in convex sets
L Brasco, D Mazzoleni
Nonlinear Differential Equations and Applications NoDEA 27 (2), 1-26, 2020
132020
A surgery result for the spectrum of the Dirichlet Laplacian
D Bucur, D Mazzoleni
SIAM Journal on Mathematical Analysis 47 (6), 4451-4466, 2015
132015
Regularity of the optimal sets for the second Dirichlet eigenvalue
D Mazzoleni, B Trey, B Velichkov
Annales de l'Institut Henri Poincaré C, 2022
82022
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
82021
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
52021
Quantitative analysis of a singularly perturbed shape optimization problem in a polygon
D Mazzoleni, B Pellacci, G Verzini
2018 MATRIX Annals, 275-283, 2020
52020
Convex combinations of low eigenvalues, Fraenkel asymmetries and attainable sets
D Mazzoleni, D Zucco
ESAIM: Control, Optimisation and Calculus of Variations, 2017
52017
Minimising convex combinations of low eigenvalues
M Iversen, D Mazzoleni
ESAIM: Control, Optimisation and Calculus of Variations 20 (2), 442-459, 2014
52014
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
32023
Regularity of the optimal sets for a class of integral shape functionals
G Buttazzo, FP Maiale, D Mazzoleni, G Tortone, B Velichkov
arXiv preprint arXiv:2212.09118, 2022
32022
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
32019
Boundedness of minimizers for spectral problems in
D Mazzoleni
Rendiconti del Seminario Matematico della Università di Padova 135, 207-221, 2016
32016
Existence and regularity results for solutions of spectral problems
D Mazzoleni
Ph. D. Thesis, Università à di Pavia and Friedrich-Alexander Universität …, 2014
22014
-Gradient Flows of Spectral Functionals
D Mazzoleni, G Savaré
arXiv preprint arXiv:2203.07304, 2022
12022
Recent Existence Results for Spectral Problems
D Mazzoleni
New Trends in Shape Optimization, 199-215, 2015
12015
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