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 (Accepted Paper) 2020
D. Mazzoleni, B. Trey, B. Velichkov:
Regularity of the optimal sets for the second Dirichlet eigenvalue
(Preprint) 2020