Dario Mazzoleni

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All published works

Action	Title	Year	Authors
+ PDF Chat	Free boundary regularity for a spectral optimal partition problem with volume and inclusion constraints	2024	Dario Mazzoleni Makson S. Santos Hugo Tavares
+ PDF Chat	Asymptotic location and shape of the optimal favorable region in a Neumann spectral problem	2024	Lorenzo Ferreri Dario Mazzoleni Benedetta Pellacci Gianmaria Verzini
+ PDF Chat	An optimal design problem for a charge qubit	2024	Dario Mazzoleni Cyrill B. Muratov Berardo Ruffini
+ PDF Chat	Regularity of the Optimal Sets for a Class of Integral Shape Functionals	2024	Giuseppe Buttazzo Francesco Paolo Maiale Dario Mazzoleni Giorgio Tortone Bozhidar Velichkov
+ PDF Chat	On a degenerate second order traffic model: existence of discrete evolutions, deterministic many-particle limit and first order approximation	2024	Dario Mazzoleni Emanuela Radici Filippo Riva
+	On a Cheeger–Kohler-Jobin Inequality	2024	Ilaria Lucardesi Dario Mazzoleni Berardo Ruffini
+ PDF Chat	Singular Analysis of the Optimizers of the Principal Eigenvalue in Indefinite Weighted Neumann Problems	2023	Dario Mazzoleni Benedetta Pellacci Gianmaria Verzini
+	On the dimension of the singular set in optimization problems with measure constraint	2023	Dario Mazzoleni Giorgio Tortone Bozhidar Velichkov
+	Calculus of variations and nonlinear analysis: advances and applications	2022	Dario Mazzoleni Benedetta Pellacci
+ PDF Chat	$ L^2 $-Gradient flows of spectral functionals	2022	Dario Mazzoleni Giuseppe Savaré
+ PDF Chat	Regularity of the optimal sets for the second Dirichlet eigenvalue	2022	Dario Mazzoleni Baptiste Trey Bozhidar Velichkov
+	$L^2$-Gradient Flows of Spectral Functionals	2022	Dario Mazzoleni Giuseppe Savaré
+	Regularity of the optimal sets for a class of integral shape functionals	2022	Giuseppe Buttazzo Francesco Paolo Maiale Dario Mazzoleni Giorgio Tortone Bozhidar Velichkov
+ PDF Chat	A spectral shape optimization problem with a nonlocal competing term	2021	Dario Mazzoleni Berardo Ruffini
+ PDF Chat	Optimization results for the higher eigenvalues of the p‐Laplacian associated with sign‐changing capacitary measures	2021	Marco Degiovanni Dario Mazzoleni
+	Singular analysis of the optimizers of the principal eigenvalue in indefinite weighted Neumann problems	2021	Dario Mazzoleni Benedetta Pellacci Gianmaria Verzini
+	A spectral shape optimization problem with a nonlocal competing term	2020	Dario Mazzoleni Berardo Ruffini
+ PDF Chat	Regularity of the free boundary for the vectorial Bernoulli problem	2020	Dario Mazzoleni Susanna Terracini Bozhidar Velichkov
+ PDF Chat	On principal frequencies, volume and inradius in convex sets	2020	Lorenzo Brasco Dario Mazzoleni
+ PDF Chat	Quantitative Analysis of a Singularly Perturbed Shape Optimization Problem in a Polygon	2020	Dario Mazzoleni Benedetta Pellacci Gianmaria Verzini
+	Optimization of nonlinear eigenvalues under measure or perimeter constraint	2020	Dario Mazzoleni
+	Regularity of the optimal sets for the second Dirichlet eigenvalue	2020	Dario Mazzoleni Baptiste Trey Bozhidar Velichkov
+	A spectral shape optimization problem with a nonlocal competing term	2020	Dario Mazzoleni Berardo Ruffini
+	On principal frequencies, volume and inradius in convex sets	2019	Lorenzo Brasco Dario Mazzoleni
+	Asymptotic spherical shapes in some spectral optimization problems	2019	Dario Mazzoleni Benedetta Pellacci Gianmaria Verzini
+ PDF Chat	Some estimates for the higher eigenvalues of sets close to the ball	2019	Dario Mazzoleni Aldo Pratelli
+	Quantitative analysis of a singularly perturbed shape optimization problem in a polygon	2019	Dario Mazzoleni Benedetta Pellacci Gianmaria Verzini
+	On principal frequencies, volume and inradius in convex sets	2019	Lorenzo Brasco Dario Mazzoleni
+	Quantitative analysis of a singularly perturbed shape optimization problem in a polygon	2019	Dario Mazzoleni Benedetta Pellacci Gianmaria Verzini
+	Asymptotic spherical shapes in some spectral optimization problems	2018	Dario Mazzoleni Benedetta Pellacci Gianmaria Verzini
+	Asymptotic spherical shapes in some spectral optimization problems	2018	Dario Mazzoleni Benedetta Pellacci Gianmaria Verzini
+	On a Cheeger--Kohler-Jobin inequality	2018	Ilaria Lucardesi Dario Mazzoleni Berardo Ruffini
+	Some estimates for the higher eigenvalues of sets close to the ball	2017	Dario Mazzoleni Aldo Pratelli
+ PDF Chat	Regularity of the optimal sets for some spectral functionals	2017	Dario Mazzoleni Susanna Terracini Bozhidar Velichkov
+	Some estimates for the higher eigenvalues of sets close to the ball	2017	Dario Mazzoleni Aldo Pratelli
+	Regularity of the optimal sets for some spectral functionals	2016	Dario Mazzoleni Susanna Terracini Bozhidar Velichkov
+ PDF Chat	Boundedness of minimizers for spectral problems in $\mathbb R^N$	2016	Dario Mazzoleni
+ PDF Chat	Convex combinations of low eigenvalues, Fraenkel asymmetries and attainable sets	2016	Dario Mazzoleni Davide Zucco
+	Some remarks on convex combinations of low eigenvalues	2016	Dario Mazzoleni
+	Regularity of the optimal sets for some spectral functionals	2016	Dario Mazzoleni Susanna Terracini Bozhidar Velichkov
+	Convex combinations of low eigenvalues, Fraenkel asymmetries and attainable sets	2015	Dario Mazzoleni Davide Zucco
+ PDF Chat	A Surgery Result for the Spectrum of the Dirichlet Laplacian	2015	Dorin Bucur Dario Mazzoleni
+	Recent Existence Results for Spectral Problems	2015	Dario Mazzoleni
+	Convex combinations of low eigenvalues, Fraenkel asymmetries and attainable sets	2015	Dario Mazzoleni Davide Zucco
+	A surgery result for the spectrum of the Dirichlet Laplacian	2014	Dorin Bucur Dario Mazzoleni
+ PDF Chat	Lipschitz Regularity of the Eigenfunctions on Optimal Domains	2014	Dorin Bucur Dario Mazzoleni Aldo Pratelli Bozhidar Velichkov
+ PDF Chat	Minimising convex combinations of low eigenvalues	2014	Mette Iversen Dario Mazzoleni
+	Existence and regularity results for solutions of spectral problems	2014	Dario Mazzoleni
+	A surgery result for the spectrum of the Dirichlet Laplacian	2014	Dorin Bucur Dario Mazzoleni
+	Existence of minimizers for spectral problems	2013	Dario Mazzoleni Aldo Pratelli
+	Existence of minimizers for spectral problems	2011	Dario Mazzoleni Aldo Pratelli
+	Existence of minimizers for spectral problems	2011	Dario Mazzoleni Aldo Pratelli

Common Coauthors

Coauthor	Papers Together
Bozhidar Velichkov	10
Benedetta Pellacci	10
Gianmaria Verzini	9
Aldo Pratelli	7
Berardo Ruffini	6
Susanna Terracini	4
Dorin Bucur	4
Giorgio Tortone	3
Lorenzo Brasco	3
Davide Zucco	3
Baptiste Trey	2
Giuseppe Savaré	2
Giuseppe Buttazzo	2
Ilaria Lucardesi	2
Francesco Paolo Maiale	2
Mette Iversen	1
Emanuela Radici	1
Makson S. Santos	1
Filippo Riva	1
Cyrill B. Muratov	1
Hugo Tavares	1
Marco Degiovanni	1
Lorenzo Ferreri	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Extremum Problems for Eigenvalues of Elliptic Operators	2006	Antoine Henrot	16
+	Existence of minimizers for spectral problems	2013	Dario Mazzoleni Aldo Pratelli	16
+ PDF Chat	Lipschitz Regularity of the Eigenfunctions on Optimal Domains	2014	Dorin Bucur Dario Mazzoleni Aldo Pratelli Bozhidar Velichkov	13
+ PDF Chat	Minimization of the k-th eigenvalue of the Dirichlet Laplacian	2012	Dorin Bucur	13
+	Existence and regularity for a minimum problem with free boundary.	1981	Hans Wilhelm Alt Luis Caffarelli	13
+ PDF Chat	Existence and Regularity of Minimizers for Some Spectral Functionals with Perimeter Constraint	2013	Guido De Philippis Bozhidar Velichkov	12
+ PDF Chat	Regularity of the optimal sets for some spectral functionals	2017	Dario Mazzoleni Susanna Terracini Bozhidar Velichkov	7
+ PDF Chat	Some remarks on stability of cones for the one-phase free boundary problem	2015	David Jerison Ovidiu Savin	7
+	Heat Kernels and Spectral Theory	1989	E. B. Davies	7
+ PDF Chat	Regularity of the optimal shape for the first eigenvalue of the Laplacian with volume and inclusion constraints	2008	Tanguy Briançon Jimmy Lamboley	7
+ PDF Chat	Faber–Krahn inequalities in sharp quantitative form	2015	Lorenzo Brasco Guido De Philippis Bozhidar Velichkov	7
+	Diffusive logistic equations with indefinite weights: population models in disrupted environments	1989	Robert Stephen Cantrell Chris Cosner	6
+ PDF Chat	Proof of the Payne-Pólya-Weinberger conjecture	1991	Mark S. Ashbaugh Rafael D. Benguria	6
+	Minimization of the third eigenvalue of the Dirichlet Laplacian	2000	Antoine Henrot Dorin Bucur	5
+	Range of the first two eigenvalues of the laplacian	1994	Sven Andreas Wolf Joseph B. Keller	5
+	Partial regularity for a minimum problem with free boundary	1999	Georg S. Weiss	5
+ PDF Chat	Minimization problems for eigenvalues of the Laplacian	2003	Antoine Henrot	5
+ PDF Chat	Spectral optimization problems with internal constraint	2012	Dorin Bucur Giuseppe Buttazzo Bozhidar Velichkov	5
+	Principal eigenvalue for an elliptic problem with indefinite weight on cylindrical domains	2008	Chiu‐Yen Kao Yuan Lou Eiji Yanagida	5
+ PDF Chat	Properties of optimizers of the principal eigenvalue with indefinite weight and Robin conditions	2016	Jimmy Lamboley Antoine Laurain Grégoire Nadin Yannick Privat	5
+ PDF Chat	Minimization of the principal eigenvalue for an elliptic boundary value problem with indefinite weight, and applications to population dynamics	2006	Yuan Lou Eiji Yanagida	5
+ PDF Chat	Free boundary regularity for a problem with right hand side	2011	Daniela De Silva	5
+ PDF Chat	A Surgery Result for the Spectrum of the Dirichlet Laplacian	2015	Dorin Bucur Dario Mazzoleni	5
+	Isoperimetric inequalities in Euclidean convex bodies	2015	Manuel Ritoré Efstratios Vernadakis	4
+	Isoperimetric inequalities in mathematical physics	1951	George Pólya Gábor Szegő	4
+ PDF Chat	Spectral optimization problems	2011	Giuseppe Buttazzo	4
+	Regularity in free boundary problems	1977	David Kinderlehrer Louis Nirenberg	4
+ PDF Chat	Mathematical analysis of the optimal habitat configurations for species persistence	2007	Lionel Roques François Hamel	4
+ PDF Chat	Minimizing the Second Eigenvalue of the Laplace Operator with Dirichlet Boundary Conditions	2003	Antoine Henrot Èdouard Oudet	4
+	The spectral drop problem	2016	Giuseppe Buttazzo Bozhidar Velichkov	4
+ PDF Chat	On the boundary of the attainable set of the dirichlet spectrum	2012	Lorenzo Brasco Carlo Nitsch Aldo Pratelli	4
+	A singular energy minimizing free boundary	2009	Daniela De Silva David Jerison	4
+	Analysis of the periodically fragmented environment model : I – Species persistence	2005	Henri Berestycki François Hamel Lionel Roques	4
+	Estimates for the Torsion Function and Sobolev Constants	2011	M. van den Berg	4
+ PDF Chat	Singular limits of sign-changing weighted eigenproblems	2020	Derek Kielty	4
+	Wiener's criterion and Γ-convergence	1987	Gianni Dal Maso Umberto Mosco	4
+ PDF Chat	Regularity for Shape Optimizers: The Degenerate Case	2019	Dennis Kriventsov Fanghua Lin	4
+	On the Schr�dinger equation and the eigenvalue problem	1983	Peter Li Shing Tung Yau	4
+	On The Attainable Eigenvalues of the Laplace Operator	1999	Dorin Bucur Giuseppe Buttazzo Isabel N. Figueiredo	4
+ PDF Chat	Elliptic Partial Differential Equations of Second Order	2001	David Gilbarg Neil S. Trudinger	3
+	On a singularly perturbed equation with neumann boundary condition	1998	Yanyan Li	3
+ PDF Chat	The sharp quantitative isoperimetric inequality	2008	Nicola Fusco Francesco Maggi Aldo Pratelli	3
+	Existence and Regularity Results for Some Shape Optimization Problems	2015	Bozhidar Velichkov	3
+ PDF Chat	Multiphase Shape Optimization Problems	2014	Dorin Bucur Bozhidar Velichkov	3
+ PDF Chat	Minimising convex combinations of low eigenvalues	2014	Mette Iversen Dario Mazzoleni	3
+ PDF Chat	A minimization problem with free boundary related to a cooperative system	2018	Luis Caffarelli Henrik Shahgholian Karen Yeressian	3
+ PDF Chat	Free Boundary Regularity for Harmonic Measures and Poisson Kernels	1999	Carlos E. Kenig Tatiana Toro	3
+	Uniform Concentration-Compactness for Sobolev Spaces on Variable Domains	2000	Dorin Bucur	3
+	Measure Theory and Fine Properties of Functions	2018	Lawrence C. Evans Ronald F. Garzepy	3
+	A mass transportation approach to quantitative isoperimetric inequalities	2010	Alessio Figalli Francesco Maggi Aldo Pratelli	3