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Talks

Conferences and Workshops


• On the regularity of the optimal shapes for a class of integral functionals.
Shape Optimisation and Geometric Spectral Theory, Edinburgh 21/9/2022


• On the regularity of the optimal shapes for a class of integral functionals.
IX Partial differential equations, optimal design and numerics, Benasque 23/8/2022


• Free boundary clusters with two phases.
Geometric Analysis and PDE on Garda Lake (9/6/2022)


• Free boundary clusters with two phases. MSRI Workshop - Hot Topics: Regularity Theory for Minimal Surfaces and Mean Curvature Flow - online (22/3/2022)


• An epsilon-regularity theorem for the solutions of a free boundary system.
Geometric Measure Theory and applications, Cortona 2021


• An epsilon-regularity theorem for the solutions of a vectorial free boundary system.
Partial Differentials Equations, Oberwolfach 2021


• Regularity of the two-phase free boundaries.
Workshop Calculus of Variations, Oberwolfach 2020


• Regularity of the two-phase free boundaries.
Shape optimization, Isoperimetric and Functional Inequalities, Levico Terme 2020


• On the logarithmic epiperimetric inequality.
12th ISAAC Congress, Aveiro 2019


• On the logarithmic epiperimetric inequality.
Partial Differentials Equations, Oberwolfach 2019


• On the logarithmic epiperimetric inequality.
Brescia - Trento Nonlinear Day III, Trento 2019


• On the logarithmic epiperimetric inequality.
Analytic and Geometric Aspects of PDEs, Milano 2019


• On the logarithmic epiperimetric inequality.
XXIX Convegno Nazionale di Calcolo delle Variazioni, Levico Terme 2019


• Recent results on the regularity of the free boundary of the obstacle problem.
Calculus of Variations at Paris-Diderot, Paris 2018


• Shape optimization problems for elliptic operators with drift.
Journées Optimisation de Formes et Applications 2, Pau 2018


• Variational approach to the regularity of optimal sets.
VII Partial Differential Equations, Optimal Design and Numerics, Benasque 2017


• On the honeycomb conjecture for a class of minimal convex partitions.
Transport problems in Zurich, 2017


• An epiperimetric inequality approach to the regularity of the free boundaries.
Shape Optimization and Isoperimetric and Functional Inequalities, Luminy 2016


• An epiperimetric inequality approach to the regularity of the free boundaries.
GMT Shape Optimization and Free Boundaries, Trieste 2016


• Regularity of the optimal sets for spectral functionals.
XIII Colloque Franco-Roumain de Mathématiques Appliquées, Iasi 2016


• Lipschitz regularity for quasi-minimizers and applications to some shape optimization problems. Calculus of Variations, Geometric Measure Theory, Optimal Transportation: from Theory to Applications, Lyon 2016


• Regularity of optimal sets for spectral functionals. Advances in Nonlinear Problems from Material Science and Shape Optimization, Pisa 2016


• Regularity of optimal sets for spectral functionals.
Bru-To: Bruxelles-Torino PDE’s Conference, Torino 2016


• Tre problemi di ottimizzazione legati al problema dell’ostacolo.
Proprietà analitico geometriche di soluzioni di EDP, Napoli 2016


• A free boundary problem arising in PDE optimization.
XXVI Convegno Nazionale di Calcolo delle Variazioni, Levico 2016


• A free boundary problem arising in PDE optimization.
Shape optimization and spectral geometry, Edinburgh 2015


• Reinforcement of an elastic membrane, the infinity Laplacian and obstacle problems.
Spectral theory and shape optimization problems for elliptic PDEs, Milano 2015


• Lipschitz continuity of the eigenfunctions on optimal sets.
Journées EDP Rhone-Alpes-Auvergne, Lyon 2014


• Lipschitz continuity of the eigenfunctions on optimal sets.
Workshop Shape and topological optimization, RICAM Linz 2014


• Shape optimization problems for spectral functionals with perimeter and volume terms. XXIV Convegno Nazionale di Calcolo delle Variazioni, Levico Terme 2014


• Multiphase shape optimization problems.
ERC Workshop New Trends in Shape Optimization, Erlangen 2013


• Shape optimization problems with internal constraint.
Shape optimization problems and spectral theory, Luminy 2016


• Shape optimization problems with internal constraint.
XXII Convegno Nazionale di Calcolo delle Variazioni, Levico 2012


• Shape optimization problems on metric measure spaces. ERC Workshop on Geometric Analysis on sub-Riemannian and Metric Spaces, Pisa 2011

Seminars


• Free boundary clusters with two phases.
 Università di Firenze (29/4/2022)


• Vectorial free boundary problems.
Lisbon WADE Seminar - online (4/3/2021)


• Vectorial free boundary problems and regularity of the optimal sets for the eigenvalues of the Dirichlet Laplacian. One world PDE Seminar - online (2/3/2021)


• Regularity of the two-phase free boundaries. Sapienza Università di Roma, P(n)/N(p): Problemi differenziali nonlineari/Nonlinear differential problems (28/11/2019)


• Regularity of the two-phase free boundaries.
Università di Pisa (06/11/2019)


• Variational approach to the regularity of the singular free boundaries.
Università degli Studi di Napoli Federico II (26/03/2018).


• Variational approach to the regularity of the singular free boundaries.
ETH Zürich (13/03/2018).


• Un approccio variazionale alla regolarità delle frontiere libere singolari.
Università di Pisa (07/02/2018).


• Approche variationnelle à la régularité des frontières libres singulières.
Laboratoire Jacques-Louis Lions (05/02/2018).


• Variational approach to the regularity of the singular free boundaries.
Département de Mathématiques d’Orsay (23/01/2018).


• Variational approach to the regularity of the free boundaries.
Université Aix-Marseille (26/10/2017).


• Regularity of the optimal sets for spectral functionals.
Max Planck Institut Lipsia (13/05/2016).


• Regularity of the optimal sets for spectral functionals.
Universität Zürich (13/04/2016).


• Regularity of the optimal sets for spectral functionals.
Politecnico di Milano (20/04/2016).


• Lipschitz continuity of the eigenfunctions on optimal sets.
Università degli Studi di Torino (29/10/2014).


• Régularité Lipschitz pour les fonctions propres sur ensembles optimaux.
Séminaire Parisien d’Optimisation (6/10/2014).


• Optimal domains for spectral functionals with perimeter and volume penalizations.
Séminaires Analyse Appliquée LATP Marseille (08/04/2014).


• Optimal domains for spectral functionals with perimeter and volume penalizations.
Séminaires LJK - Geometrie - Images: Calcul des variations, Grenoble (02/04/2014).


• Existence and regularity for some spectral optimization problems with perimeter constraint. Université de Savoie (09/11/2012).


• Subsolutions of the Dirichlet Energy functional. Density estimates and applications.
Università di Pavia (08/05/2012).


• Concentration-compactness principle and shape optimization problems.
Seminario CVAG, Università di Pisa (25/05/2011).


Mini courses


• Free boundary regularity for the one-phase Bernoulli problem (6 hours).
Free boundary problems and related topics, ETH - Zurich 2022


• Regularity of the one-phase free boundaries (6 hours).
Shape optimization, control and inverse problems for PDEs, Napoli 2019