Edit Profile (opens in new tab) Mazzoleni, Dario Co-Author Distance Author ID: mazzoleni.dario Published as: Mazzoleni, Dario External Links: MGP · ORCID Documents Indexed: 22 Publications since 2013, including 3 Additional arXiv Preprints 1 Contribution as Editor Co-Authors: 17 Co-Authors with 20 Joint Publications 413 Co-Co-Authors all top 5 Co-Authors 3 single-authored 6 Velichkov, Bozhidar 4 Pellacci, Benedetta 3 Pratelli, Aldo 3 Verzini, Gianmaria 2 Bucur, Dorin 2 Ruffini, Berardo 2 Terracini, Susanna 2 Tortone, Giorgio 1 Brasco, Lorenzo 1 Buttazzo, Giuseppe 1 Degiovanni, Marco 1 Iversen, Mette 1 Lucardesi, Ilaria 1 Maiale, Francesco Paolo 1 Savaré, Giuseppe 1 Trey, Baptiste 1 Zucco, Davide all top 5 Serials 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 SIAM Journal on Mathematical Analysis 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Archive for Rational Mechanics and Analysis 1 Journal of the London Mathematical Society. Second Series 1 Rendiconti del Seminario Matematico della Università di Padova 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Geometric and Functional Analysis. GAFA 1 Calculus of Variations and Partial Differential Equations 1 NoDEA. Nonlinear Differential Equations and Applications 1 Discrete and Continuous Dynamical Systems 1 Rendiconti del Seminario Matematico. Universitá e Politecnico di Torino 1 Analysis & PDE 1 Journal of Spectral Theory 1 Mathematics in Engineering all top 5 Fields 18 Calculus of variations and optimal control; optimization (49-XX) 15 Partial differential equations (35-XX) 10 Operator theory (47-XX) 3 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Global analysis, analysis on manifolds (58-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 17 Publications have been cited 128 times in 84 Documents Cited by ▼ Year ▼ Existence of minimizers for spectral problems. Zbl 1296.35100 Mazzoleni, Dario; Pratelli, Aldo 40 2013 Lipschitz regularity of the eigenfunctions on optimal domains. Zbl 1319.49067 Bucur, Dorin; Mazzoleni, Dario; Pratelli, Aldo; Velichkov, Bozhidar 21 2015 Regularity of the optimal sets for some spectral functionals. Zbl 1368.49047 Mazzoleni, Dario; Terracini, Susanna; Velichkov, Bozhidar 21 2017 Regularity of the free boundary for the vectorial Bernoulli problem. Zbl 1445.35342 Mazzoleni, Dario; Terracini, Susanna; Velichkov, Bozhidar 10 2020 Asymptotic spherical shapes in some spectral optimization problems. Zbl 1433.49059 Mazzoleni, Dario; Pellacci, Benedetta; Verzini, Gianmaria 10 2020 A surgery result for the spectrum of the Dirichlet Laplacian. Zbl 1331.49062 Bucur, Dorin; Mazzoleni, Dario 6 2015 On principal frequencies, volume and inradius in convex sets. Zbl 1433.35204 Brasco, Lorenzo; Mazzoleni, Dario 5 2020 Minimising convex combinations of low eigenvalues. Zbl 1290.49096 Iversen, Mette; Mazzoleni, Dario 3 2014 Convex combinations of low eigenvalues, Fraenkel asymmetries and attainable sets. Zbl 1422.47024 Mazzoleni, Dario; Zucco, Davide 2 2017 Quantitative analysis of a singularly perturbed shape optimization problem in a polygon. Zbl 1448.92234 Mazzoleni, Dario; Pellacci, Benedetta; Verzini, Gianmaria 2 2020 Optimization results for the higher eigenvalues of the \(p\)-Laplacian associated with sign-changing capacitary measures. Zbl 1472.49067 Degiovanni, Marco; Mazzoleni, Dario 2 2021 Recent existence results for spectral problems. Zbl 1329.49089 Mazzoleni, Dario 1 2015 Boundedness of minimizers for spectral problems in \(\mathbb R^N\). Zbl 1343.49071 Mazzoleni, Dario 1 2016 \( L^2 \)-gradient flows of spectral functionals. Zbl 07700771 Mazzoleni, Dario; Savaré, Giuseppe 1 2023 Singular analysis of the optimizers of the principal eigenvalue in indefinite weighted Neumann problems. Zbl 1521.49036 Mazzoleni, Dario; Pellacci, Benedetta; Verzini, Gianmaria 1 2023 A spectral shape optimization problem with a nonlocal competing term. Zbl 1469.49043 Mazzoleni, Dario; Ruffini, Berardo 1 2021 Regularity of the optimal sets for the second Dirichlet eigenvalue. Zbl 1518.35698 Mazzoleni, Dario; Trey, Baptiste; Velichkov, Bozhidar 1 2022 \( L^2 \)-gradient flows of spectral functionals. Zbl 07700771 Mazzoleni, Dario; Savaré, Giuseppe 1 2023 Singular analysis of the optimizers of the principal eigenvalue in indefinite weighted Neumann problems. Zbl 1521.49036 Mazzoleni, Dario; Pellacci, Benedetta; Verzini, Gianmaria 1 2023 Regularity of the optimal sets for the second Dirichlet eigenvalue. Zbl 1518.35698 Mazzoleni, Dario; Trey, Baptiste; Velichkov, Bozhidar 1 2022 Optimization results for the higher eigenvalues of the \(p\)-Laplacian associated with sign-changing capacitary measures. Zbl 1472.49067 Degiovanni, Marco; Mazzoleni, Dario 2 2021 A spectral shape optimization problem with a nonlocal competing term. Zbl 1469.49043 Mazzoleni, Dario; Ruffini, Berardo 1 2021 Regularity of the free boundary for the vectorial Bernoulli problem. Zbl 1445.35342 Mazzoleni, Dario; Terracini, Susanna; Velichkov, Bozhidar 10 2020 Asymptotic spherical shapes in some spectral optimization problems. Zbl 1433.49059 Mazzoleni, Dario; Pellacci, Benedetta; Verzini, Gianmaria 10 2020 On principal frequencies, volume and inradius in convex sets. Zbl 1433.35204 Brasco, Lorenzo; Mazzoleni, Dario 5 2020 Quantitative analysis of a singularly perturbed shape optimization problem in a polygon. Zbl 1448.92234 Mazzoleni, Dario; Pellacci, Benedetta; Verzini, Gianmaria 2 2020 Regularity of the optimal sets for some spectral functionals. Zbl 1368.49047 Mazzoleni, Dario; Terracini, Susanna; Velichkov, Bozhidar 21 2017 Convex combinations of low eigenvalues, Fraenkel asymmetries and attainable sets. Zbl 1422.47024 Mazzoleni, Dario; Zucco, Davide 2 2017 Boundedness of minimizers for spectral problems in \(\mathbb R^N\). Zbl 1343.49071 Mazzoleni, Dario 1 2016 Lipschitz regularity of the eigenfunctions on optimal domains. Zbl 1319.49067 Bucur, Dorin; Mazzoleni, Dario; Pratelli, Aldo; Velichkov, Bozhidar 21 2015 A surgery result for the spectrum of the Dirichlet Laplacian. Zbl 1331.49062 Bucur, Dorin; Mazzoleni, Dario 6 2015 Recent existence results for spectral problems. Zbl 1329.49089 Mazzoleni, Dario 1 2015 Minimising convex combinations of low eigenvalues. Zbl 1290.49096 Iversen, Mette; Mazzoleni, Dario 3 2014 Existence of minimizers for spectral problems. Zbl 1296.35100 Mazzoleni, Dario; Pratelli, Aldo 40 2013 all cited Publications top 5 cited Publications all top 5 Cited by 101 Authors 12 Velichkov, Bozhidar 11 Mazzoleni, Dario 9 Bucur, Dorin 5 Trey, Baptiste 4 Bogoşel, Beniamin 4 Pellacci, Benedetta 4 Tortone, Giorgio 4 Verzini, Gianmaria 3 Antunes, Pedro Ricardo Simão 3 Brasco, Lorenzo 3 Buttazzo, Giuseppe 3 De Philippis, Guido 3 Engelstein, Max 3 Gittins, Katie 3 Henrot, Antoine 3 Terracini, Susanna 3 van den Berg, Michiel 2 Alikakos, Nicholas D. 2 David, Guy 2 De Silva, Daniela 2 Freitas, Pedro 2 Ftouhi, Ilias 2 Geng, Zhiyuan 2 Kao, Chiu-Yen 2 Lamboley, Jimmy 2 Larson, Simon 2 Lin, Fang Hua 2 Lucardesi, Ilaria 2 Prinari, Francesca 2 Ruffini, Berardo 2 Toro, Tatiana 2 Zarnescu, Arghir Dani 2 Zucco, Davide 1 Al Sayed, Abdelkader 1 Alhejaili, Weaam 1 Allen, Mark G. 1 Berg van den, M. 1 Berger, Amandine 1 Biswas, Nirjan 1 Brandolini, Barbara 1 Briani, Luca 1 Buoso, Davide 1 Calanchi, Marta 1 Carriero, Michele 1 Chiacchio, Francesco 1 Cito, Simone 1 Colbois, Bruno 1 Dario, Mazzoleni 1 Das, Ujjal 1 Degiovanni, Marco 1 Edelen, Nick 1 El Soufi, Ahmad 1 Enciso, Alberto 1 Ferreri, Lorenzo 1 Fotouhi, Morteza 1 Fragalà, Ilaria 1 Franzina, Giovanni 1 Gazoulis, Dimitrios 1 Ghosh, Mrityunjoy 1 Iacopetti, Alessandro 1 Jost, Jürgen 1 Kamburov, Nikola 1 Kielty, Derek 1 Kriventsov, Dennis 1 Lamberti, Pier Domenico 1 Leaci, Antonio 1 Maestre, Faustino 1 Maiale, Francesco Paolo 1 Mulas, Raffaella 1 Nacry, Florent 1 Nahon, Mickaël 1 Neumayer, Robin 1 Osting, Braxton 1 Oudet, Edouard 1 Pacella, Filomena 1 Parini, Enea 1 Peralta-Salas, Daniel 1 Pierre, Michel 1 Pisante, Giovanni 1 Pratelli, Aldo 1 Qian, Meizhi 1 Ramos, Miguel 1 Ruf, Bernhard 1 Russ, Emmanuel 1 Salort, Ariel Martin 1 Schiera, Delia 1 Schoen, Richard Melvin 1 Schulze, Felix 1 Shahgholian, Henrik 1 Sicbaldi, Pieralberto 1 Smit Vega Garcia, Mariana 1 Spolaor, Luca 1 Tavares, Hugo 1 Trombetti, Cristina 1 Wang, Kelei 1 Wen, Zhiyuan 1 Weth, Tobias 1 Zagati, Anna Chiara 1 Zhang, Dong 1 Zhou, Lijuan ...and 1 more Authors all top 5 Cited in 53 Serials 5 Calculus of Variations and Partial Differential Equations 4 Archive for Rational Mechanics and Analysis 4 Journal of Differential Equations 4 SIAM Journal on Mathematical Analysis 3 Applied Mathematics and Optimization 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Journal of Mathematical Analysis and Applications 2 Bulletin of the London Mathematical Society 2 Journal of Functional Analysis 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Computational Optimization and Applications 2 Mathematics in Engineering 1 Journal of Mathematical Physics 1 Nonlinearity 1 Advances in Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Integral Equations and Operator Theory 1 Journal of the London Mathematical Society. Second Series 1 Journal of Optimization Theory and Applications 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Mathematika 1 Proceedings of the London Mathematical Society. Third Series 1 Transactions of the American Mathematical Society 1 Chinese Annals of Mathematics. Series B 1 Annals of Global Analysis and Geometry 1 Revista Matemática Iberoamericana 1 Asymptotic Analysis 1 Journal of Scientific Computing 1 The Journal of Geometric Analysis 1 Geometric and Functional Analysis. GAFA 1 Communications in Partial Differential Equations 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Journal of Dynamics and Differential Equations 1 SIAM Journal on Scientific Computing 1 Journal of Convex Analysis 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Vietnam Journal of Mathematics 1 Interfaces and Free Boundaries 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Oberwolfach Reports 1 Analysis & PDE 1 Science China. Mathematics 1 Advances in Pure and Applied Mathematics 1 Journal of Spectral Theory 1 Forum of Mathematics, Sigma 1 Advances in Nonlinear Analysis 1 Journal de l’École Polytechnique – Mathématiques 1 Philosophical Transactions A. Royal Society of London all top 5 Cited in 18 Fields 69 Partial differential equations (35-XX) 55 Calculus of variations and optimal control; optimization (49-XX) 17 Operator theory (47-XX) 7 Biology and other natural sciences (92-XX) 4 Mechanics of deformable solids (74-XX) 3 Numerical analysis (65-XX) 2 Ordinary differential equations (34-XX) 2 Convex and discrete geometry (52-XX) 2 Differential geometry (53-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Classical thermodynamics, heat transfer (80-XX) Citations by Year