D. Mazzoleni, A. Pratelli:
Existence of minimizers for spectral problems
J. Math. Pures Appl. 2013
M. Iversen, D. Mazzoleni:
Minimising convex combinations of low eigenvalues
ESAIM:COCV (Published paper) Vol. 20, N. 02, p. 442-459, 2014
D. Mazzoleni:
Existence and regularity results for solutions of spectral problems
(Ph.D. Thesis) 2014
D. Mazzoleni:
Boundedness of minimizers for spectral problems in $\mathbb{R}^N$
Rend. Sem. Mat. Univ. Padova (Accepted) 2014
D. Mazzoleni:
Recent existence results for spectral problems
(Survey) 2014
D. Bucur, D. Mazzoleni:
A surgery result for the spectrum of the Dirichlet Laplacian
SIAM J. Math. Anal. Vol. 47, N. 6, p. 4451-4466, 2015
D. Bucur, D. Mazzoleni, A. Pratelli, B. Velichkov:
Lipschitz regularity of the eigenfunctions on optimal domains
Arch. Rat. Mech. Anal. 2015
D. Mazzoleni, D. Zucco:
Convex combinations of low eigenvalues, Fraenkel asymmetries and attainable sets
ESAIM: COCV 2017
D. Mazzoleni, S. Terracini, B. Velichkov:
Regularity of the optimal sets for some spectral functionals
Geom. Funct. Anal. 2017
D. Mazzoleni, S. Terracini, B. Velichkov:
Regularity of the free boundary for the vectorial Bernoulli problem
Analysis & PDE (Accepted Paper) 2018
D. Mazzoleni, B. Pellacci, G. Verzini:
Asymptotic spherical shapes in some spectral optimization problems
J. Math. Pures Appl. (Accepted Paper) 2018
L. Brasco, D. Mazzoleni:
On principal frequencies, volume and inradius in convex sets
NoDEA (Accepted Paper) 2019
D. Mazzoleni, B. Pellacci, G. Verzini:
Quantitative analysis of a singularly perturbed shape optimization problem in a polygon
(Preprint) 2019
D. Mazzoleni, A. Pratelli:
Some estimates for the higher eigenvalues of sets close to the ball
J. Spectral Theory 2019
M. Degiovanni, D. Mazzoleni:
Optimization results for the higher eigenvalues of the $p$-Laplacian associated with sign-changing capacitary measures
J. London Math. Soc. (Accepted Paper) 2019
D. Mazzoleni, B. Ruffini:
A spectral shape optimization problem with a nonlocal competing term
Calc. Var. PDE 2020
D. Mazzoleni, B. Pellacci, G. Verzini:
Singular analysis of the optimizers of the principal eigenvalue in indefinite weighted Neumann problems
SIAM J. Math. Anal. 2021
D. Mazzoleni, B. Trey, B. Velichkov:
Regularity of the optimal sets for the second Dirichlet eigenvalue
Ann. Inst. H. Poincaré Anal. Non Linéaire 2022
D. Mazzoleni, G. Savaré:
$L^2$-Gradient Flows of Spectral Functionals
Discrete and Continuous Dynamical Systems 2022
G. Buttazzo, F. P. Maiale, D. Mazzoleni, G. Tortone, B. Velichkov:
Regularity of the optimal sets for a class of integral shape functionals
Arch. Rat. Mech. Anal. 2022
I. Lucardesi, D. Mazzoleni, B. Ruffini:
On a Cheeger--Kohler-Jobin inequality
(Submitted Paper) 2023
D. Mazzoleni, G. Tortone, B. Velichkov:
On the dimension of the singular set in optimization problems with measure constraint
J. Convex Analysis 2023
D. Mazzoleni, C. Muratov, B. Ruffini:
An optimal design problem for a charge qubit
(Submitted Paper) 2024
D. Mazzoleni, E. Radici, F. Riva:
On a degenerate second order traffic model: existence of discrete evolutions, deterministic many-particle limit and first order approximation
(Submitted Paper) 2024
L. Ferreri, D. Mazzoleni, B. Pellacci, G. Verzini:
Asymptotic location and shape of the optimal favorable region in a Neumann spectral problem
(Preprint) 2024