Full Professor, Dip. Mat. Univ. Pisa

Email: buttazzo AT dm.unipi.it

Home-page: http://www.dm.unipi.it/pages/buttazzo/

Available papers (122):

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• G. Buttazzo - J. Casado-Diaz - F. Maestre (Preprint)
  Optimal coefficients for elliptic PDEs (2024)
• S. Bartels - G. Buttazzo - H. Keller (Preprint)
  Optimization of an eigenvalue arising in optimal insulation with a lower bound (2024)
• B. Bogosel - G. Buttazzo - E. Oudet (Preprint)
  On the numerical approximation of Blaschke-Santaló diagrams using Centroidal Voronoi Tessellations (2023)
• G. Buttazzo - J. Casado-Diaz - F. Maestre (Preprint)
  On the regularity of optimal potentials in control problems governed by elliptic equations (2023)
• G. Buttazzo (Preprint)
  On the continuity of the Continuous Steiner Symmetrization (2022)
• L. Briani - G. Buttazzo - S. Guarino Lo Bianco (Submitted Paper)
  On a reverse Kohler-Jobin inequality (2022)
• G. Buttazzo - G. Carlier - K. Eichinger (Submitted Paper)
  Wasserstein interpolation with constraints and application to a parking problem (2022)
• G. Buttazzo - M. S. Gelli - D. Lučić (SIAM J. Math. Anal.)
  Mass optimization problem with convex cost (2022)
• G. Buttazzo - F. P. Maiale - D. Mazzoleni - G. Tortone - B. Velichkov (Arch. Rat. Mech. Anal.)
  Regularity of the optimal sets for a class of integral shape functionals (2022)
• L. Briani - G. Buttazzo - F. Prinari (Jota)
  A shape optimization problem on planar sets with prescribed topology (2021)
• M. van den Berg - G. Buttazzo - A. Pratelli (Comm. Contemp. Math.)
  On the relations between principal eigenvalue and torsional rigidity (2021)
• G. Buttazzo - A. Pratelli (ESAIM Control Optim. Calc. Var.)
  An application of the continuous Steiner symmetrization to Blaschke-Santalò diagrams (2021)
• L. Briani - G. Buttazzo - F. Prinari (Annali di Matematica Pura ed Applicata)
  On a class of Cheeger inequalities (2021)
• L. Briani - G. Buttazzo - F. Prinari (Calc. Var. Partial Differ. Equ.)
  Inequalities between torsional rigidity and principal eigenvalue of the $p$-Laplacian (2021)
• G. Buttazzo - F. P. Maiale - B. Velichkov (Rend. Lincei Mat. Appl.)
  Shape optimization problems in control form (2021)
• G. Buttazzo - F. P. Maiale (Accepted Paper)
  Optimal one-dimensional structures for the principal eigenvalue of two-dimensional domains (2020)
• M. van den Berg - G. Buttazzo (Preprint)
  On capacity and torsional rigidity (2020)
• G. Buttazzo - F. P. Maiale (Accepted Paper)
  Shape optimization problems for functionals with a boundary integral (2020)
• L. Briani - G. Buttazzo - F. Prinari (AMO)
  Some inequalities involving perimeter and torsional rigidity (2020)
• G. Alberti - G. Buttazzo - S. Guarino Lo Bianco - E. Oudet (Accepted Paper: Networks and Heterogeneous Media)
  Optimal reinforcing networks for elastic membranes (2019)
• G. Buttazzo - J. Casado-Diaz - F. Maestre (Preprint)
  On the existence of optimal potentials on unbounded domains (2019)
• G. Bouchitté - G. Buttazzo - T. Champion - L. De Pascale (Preprint)
  Relaxed multi-marginal costs and quantization effects (2019)
• G. Buttazzo - H. Shrivastava (Annales Henry Lebesgue)
  Optimal shapes for general integral functionals (2019)
• G. Bouchitté - G. Buttazzo - T. Champion - L. De Pascale (Submitted Paper)
  Dissociating limit in Density Functional Theory with Coulomb optimal transport cost (2018)
• G. Buttazzo - B. Velichkov (SIAM J. Math. Anal.)
  A Shape Optimal Control Problem with Changing Sign Data (2018)
• G. Buttazzo - G. Cardone - S. Nazarov (Submitted Paper)
  Thin elastic plates supported over small areas II. Variational-asymptotic models. (2017)
• G. Buttazzo - S. Guarino Lo Bianco - M. Marini (Accepted Paper: Journal of Mathematical Analysis and Applications)
  Sharp estimates for the anisotropic torsional rigidity and the principal frequency (2017)
• G. Buttazzo - G. Carlier - M. Laborde (Submitted Paper)
  On the Wasserstein distance between mutually singular measures (2017)
• S. Bartels - G. Buttazzo (Submitted Paper)
  Numerical solution of a nonlinear eigenvalue problem arising in optimal insulation (2017)
• D. Bucur - G. Buttazzo - C. Nitsch (Notices Amer. Math. Soc.)
  Two optimization problems in thermal insulation (2017)
• D. Bucur - G. Buttazzo - C. Nitsch (Accepted Paper: Journal de Mathématiques Pures et Appliquées)
  Symmetry breaking for a problem in optimal insulation (2017)
• G. Buttazzo - B. Velichkov (Book Chapter)
  Spectral optimization problems for Schrödinger operators (2017)
• G. Buttazzo - F. Maestre - B. Velichkov (Journal of Optimization Theory and Applications)
  Optimal potentials for problems with changing sign data (2017)
• G. Buttazzo - T. Champion - L. De Pascale (Submitted Paper)
  Continuity and estimates for multimarginal optimal transportation problems with singular costs (2016)
• M. Bongini - G. Buttazzo (Submitted Paper)
  Optimal Control Problems in Transport Dynamics (2016)
• G. Buttazzo - G. Cardone - S. Nazarov
  Thin elastic plates supported over small areas I. Korn's inequalities and boundary layers (2016)
• J. C. Bellido - G. Buttazzo - B. Velichkov (Nonlinear Analysis)
  Worst-case shape optimization for the Dirichlet energy (2016)
• G. Bouchitté - G. Buttazzo (Submitted Paper)
  Optimal design problems for Schrödinger operators with noncompact resolvents (2015)
• G. Buttazzo - E. Oudet - B. Velichkov (Calc. Var. PDE)
  A free boundary problem arising in PDE optimization (2015)
• G. Buttazzo - M. van den Berg - B. Velichkov (Proceedings: Chapter in the book "New Trends in Shape Optimization")
  Optimization problems involving the first Dirichlet eigenvalue and the torsional rigidity (2015)
• G. Buttazzo - G. Carlier - S. Guarino Lo Bianco (Preprint)
  Optimal Regions for Congested Transport (2014)
• G. Buttazzo - B. Velichkov (Preprint)
  The spectral drop problem (2014)
• L. Brasco - G. Buttazzo (Accepted Paper: Calc. Var. Partial Differential Equations)
  Improved energy bounds for Schrödinger operators (2014)
• G. Buttazzo - B. Ruffini - B. Velichkov (ESAIM Control Optim. Calc. Var.)
  Shape Optimization Problems for Metric Graphs (2014)
• A. Chen - J. Darbon - G. Buttazzo - F. Santambrogio - J. M. Morel (Interfaces Free Bound.)
  On the equations of landscape formation (2014)
• E. Bini - G. Buttazzo (IEEE Trans. Automat. Control)
  The optimal sampling pattern for linear control systems (2014)
• J. C. L. Alfonso - G. Buttazzo - B. García-Archilla - M. A. Herrero - L. Núñez (Bull. Math. Biol.)
  Selecting Radiotherapy Dose Distributions by Means of Constrained Optimization Problems (2014)
• D. Bucur - G. Buttazzo - B. Velichkov (SIAM J. Math. Anal.)
  Spectral optimization problems for potentials and measures (2014)
• G. Buttazzo - S. Guarino Lo Bianco - F. Oliviero (Accepted Paper: Discrete Contin. Dyn. Syst.)
  Optimal location problems with routing cost (2013)
• D. Bucur - G. Buttazzo - U. Stefanelli (Interfaces Free Bound.)
  Shape flows for spectral optimization problems (2013)
• D. Bucur - G. Buttazzo - B. Velichkov (Ann. I. H. Poincare' Anal. Non Lineaire )
  Shape Optimization Problems with Internal Constraint (2013)
• G. Buttazzo - F. Santambrogio - E. Stepanov (Ann. Scuola Norm. Sup. Pisa Cl. Sci.)
  Asymptotic optimal location of facilities in a competition between population and industries (2013)
• G. Buttazzo - A. Gerolin - B. Ruffini - B. Velichkov (J. Éc. polytech. Math.)
  Optimal Potentials for Schrödinger Operators (2013)
• G. Buttazzo (published paper: Ithaca Viaggio nella Scienza)
  Il problema di Newton dei profili aerodinamici ottimi (2013)
• G. Buttazzo - B. Velichkov (J. Funct. Anal.)
  Shape optimization problems on metric measure spaces (2013)
• G. Buttazzo - B. Velichkov (Preprint)
  Some New Problems in Spectral Optimization (2012)
• G. Buttazzo (Accepted Paper: Milan J. Math.)
  Evolution models for mass transportation problems (2012)
• G. Buttazzo - L. De Pascale - P. Gori-Giorgi (Accepted Paper: Physical Review A)
  Optimal-transport formulation of electronic density-functional theory (2012)
• G. Buttazzo - A. Nayam (International journal of dynamical system and differential equation)
  Stationary Configuration of some Optimal Shaping (2012)
• G. Buttazzo - S. Nazarov (In "Variational Analysis and Aerospace Engineering: Mathematical Challenges for Aerospace Design'', Springer Optimization and Its Applications)
  Optimal location of support points in the Kirchhoff plate (2012)
• J. C. L. Alfonso - G. Buttazzo - B. García-Archilla - M. A. Herrero - L. Núñez (Discrete Contin. Dyn. Syst. Ser. B)
  A class of optimization problems in radiotherapy dosimetry planning (2012)
• D. Bucur - G. Buttazzo (Accepted Paper: Calc. Var. and PDEs)
  On the characterization of the compact embedding of Sobolev spaces (2012)
• G. Buttazzo - S. Nazarov (Journal of Mathematical Sciences)
  Optimal location of support points in the Kirchhoff plate (2011)
• G. Buttazzo - P. Kogut (Preprint)
  Weak Optimal Controls in Coefficients for Linear Elliptic Problems (2010)
• G. Buttazzo (Preprint)
  Spectral Optimization Problems (2010)
• L. Brasco - G. Buttazzo - F. Santambrogio (Accepted Paper: SIAM J. Math. Anal.)
  A Benamou-Brenier approach to branched transport (2010)
• G. Buttazzo - G. Carlier - R. Tahraoui (Preprint)
  On some systems controlled by the structure of their memory (2010)
• G. Buttazzo - E. Mainini - E. Stepanov (Control Cybernet.)
  Stationary configurations for the average distance functional and related problems (2009)
• G. Buttazzo - B. Kawohl (Preprint)
  Overdetermined boundary value problems for the $\infty$-Laplacian (2009)
• G. Buttazzo - F. Santambrogio (Siam Review)
  A Mass Transportation Model for the Optimal Planning of an Urban Region (2009)
• G. Buttazzo - F. Maestre (Preprint)
  Optimal Shape for Elliptic Problems with Random Perturbations (2009)
• G. Buttazzo - A. Pratelli - S. Solimini - E. Stepanov (Springer Lecture Notes in Mathematics)
  Optimal urban networks via mass transportation (2009)
• D. Bucur - G. Buttazzo - A. Henrot (Preprint)
  Minimization of $\lambda_2(\Omega)$ with a perimeter constraint (2009)
• G. Buttazzo - A. Wagner (Submitted Paper)
  On some rescaled shape optimization problems (2009)
• G. Buttazzo - C. Jimenez - E. Oudet (SIAM. J. Control Optim)
  An optimization problem for mass transportation with congested dynamics (2009)
• A. Brancolini - G. Buttazzo - F. Santambrogio - E. Stepanov (ESAIM Control Optim. Calc. Var.)
  Long-term planning versus short-term planning in the asymptotical location problem (2009)
• G. Buttazzo (Preprint)
  Problemi di ottimizzazione in teoria del trasporto di massa (2008)
• G. Bouchitté - G. Buttazzo - L. De Pascale (Preprint)
  The Monge-Kantorovich problem for distributions and applications (2008)
• G. Buttazzo - G. Carlier (Accepted Paper: Israel Mathematical Conference Proceedings subseries of the American Mathematical Society Contemporary Mathematics series)
  Optimal spatial pricing strategies with transportation costs (2008)
• D. Bucur - G. Buttazzo (Preprint)
  Irreversible quasistatic evolutions by minimizing movements (2007)
• G. Buttazzo - G. Carlier - M. Comte (Preprint)
  On the selection of maximal Cheeger sets (2007)
• G. Buttazzo (Preprint)
  A survey on the Newton problem of optimal profiles (2007)
• G. Buttazzo - F. Santambrogio (Networks and Heterogeneous Media)
  Asymptotical compliance optimization for connected networks (2007)
• G. Buttazzo - L. De Pascale - I. Fragalà (Discrete and Continuous Dynamical Systems - Series A)
  Erratum to: Topological equivalence of some variational problems involving distances (2007)
• G. Buttazzo - A. Pratelli - E. Stepanov (SIAM J. Opt)
  Optimal pricing policies for public transportation networks (2006)
• G. Buttazzo - F. Santambrogio - N. Varchon (ESAIM: COCV)
  Asymptotics of an optimal compliance-location problem (2006)
• G. Buttazzo (Encyclopedia of Mathematical Physics (ISBN 978-0-1251-2666-3), Elsevier, Amsterdam (2006).)
  Problems with Free Interfaces and Free Discontinuities: Variational Problems (2006)
• D. Bucur - G. Buttazzo - A. Lux (Submitted Paper)
  Quasistatic evolution in debonding problems via capacitary methods (2006)
• A. Brancolini - G. Buttazzo - F. Santambrogio (J. Eur. Math. Soc.)
  Path Functionals over Wasserstein Spaces (2006)
• G. Buttazzo - E. Stepanov (Discrete Contin. Dyn. Syst. )
  Transport density in Monge-Kantorovich problems with Dirichlet conditions (2005)
• G. Buttazzo - M. O. Rieger (Preprint)
  Variational problems for functionals involving the value distribution (2005)
• Z. Belhachmi - D. Bucur - G. Buttazzo - J. M. Sac-Epée (Preprint)
  Shape optimization problems for eigenvalues of elliptic operators (2005)
• G. Buttazzo - F. Santambrogio (SIAM J. Math. Anal.)
  A Model for the Optimal Planning of an Urban Area (2005)
• G. Buttazzo - N. Varchon (Preprint)
  On the Optimal Reinforcement of an Elastic Membrane (2005)
• A. Brancolini - G. Buttazzo (ESAIM Control Optim. Calc. Var.)
  Optimal Networks For Mass Transportation Problems (2005)
• G. Buttazzo - M. Mintchev (Preprint)
  Curve brachistocrone in campi di gravita' (2004)
• G. Buttazzo - E. Stepanov (Calculus of Variations: Topics from the Mathematical Heritage of Ennio De Giorgi, D. Pallara (ed.), Quaderni di Matematica, Seconda Universit\`{a} di Napoli, Caserta)
  Minimization problems for average distance functionals (2004)
• G. Buttazzo - N. Varchon - H. Zoubairi (Accepted Paper: Annali Mat. Pur. Appl.)
  Optimal measures for elliptic problems (2004)
• G. Buttazzo - A. Davini - I. Fragalà - F. Macià (J. Reine Angew. Math. (Crelles Journal))
  Optimal Riemannian distances preventing mass transfer (2004)
• G. Buttazzo (Preprint)
  Three Optimization Problems in Mass Transportation Theory (2004)
• G. Buttazzo - L. De Pascale ( Lecture Notes in Math., 1813, Springer, Berlin)
  Optimal Shapes and Masses, and Optimal Transportation Problems (2003)
• G. Buttazzo - E. Stepanov (Ann. Sc. Norm. Sup. Pisa Cl. Sci.)
  Optimal transportation networks as free Dirichlet regions for the Monge-Kantorovich problem (2003)
• G. Bouchitté - G. Buttazzo - L. De Pascale (J. Optim. Theory Appl. )
  A p-Laplacian approximation for some mass optimization problems (2003)
• G. Buttazzo - E. Stepanov (SIAM J. Control Optim.)
  On regularity of transport density in the Monge-Kantorovich problem (2003)
• E. Bini - G. Buttazzo - G. Buttazzo (IEEE Transactions on Computers)
  Rate monotonic analysis: the hyperbolic bound (2003)
• G. Buttazzo - B. Schweizer (Submitted Paper)
  $\Gamma$ convergence of Hausdorff measures (2002)
• A. Braides - G. Buttazzo - I. Fragalà (Asymptotic Anal.)
  Riemannian approximation of Finsler metrics (2002)
• E. Acerbi - G. Buttazzo - F. Prinari (J. Convex Anal.)
  The class of functionals which can be represented by a supremum (2002)
• G. Bouchitté - G. Buttazzo - I. Fragalà (J. Math. Pures Appl.)
  Bounds for the effective coefficients of homogenized low dimensional structures (2002)
• G. Buttazzo - E. Oudet - E. Stepanov (Progress in Nonlinear Diff. Equations and their Applications)
  Optimal transportation problems with free Dirichlet regions (2002)
• G. Bouchitté - G. Buttazzo - I. Fragalà (J. Geom. Anal.)
  Convergence of Sobolev Spaces on Varying Manifolds (2001)
• G. Buttazzo - L. De Pascale - I. Fragalà (Discrete Contin. Dinam. Systems)
  Topological Equivalence of Some Variational Problems Involving Distances (2001)
• D. Bucur - G. Buttazzo - N. Varchon (SIAM J. Optim.)
  On the problem of optimal cutting (2001)
• G. Buttazzo - C. Timofte (Preprint)
  On The Relaxation of Some Optimal Partition Problems (2001)
• E. Bini - G. Buttazzo - G. Buttazzo (IEEE Proceedings of the 13th Euromicro Conference on Real-Time Systems)
  A hyperbolic bound for the rate monotonic algorithm (2001)
• G. Bouchitté - G. Buttazzo (Preprint)
  Characterization of Optimal Shapes and Masses through Monge-Kantorovich Equation (2000)
• G. Buttazzo - A. Wagner (Nonlinear Anal.)
  On the optimal shape of a rigid body supported by an elastic membrane (2000)
• G. Buttazzo - P. Trebeschi
  The Role of Monotonicity in Some Shape Optimization Problems (1998)
• D. Bucur - G. Buttazzo - P. Trebeschi
  An Existence Result for Optimal Obstacles (1998)
• D. Bucur - G. Buttazzo
  Results and Questions on Minimum Problems for Eigenvalues (1998)
• G. Bouchitté - G. Buttazzo - I. Fragalà (Ann. Scuola Norm. Sup. Cl. Sci.)
  Mean Curvature of a Measure and Related Variational Problems (1997)
• G. Buttazzo - P. Guasoni (J. Convex Analysis)
  Shape Optimization Problems over Classes of Convex Domains (1997)

Seminars:

• 20 mar 2019: Optimal transport between mutually singular measures
• 2 may 2012: Optimal location problems with routing cost
• 12 nov 2008: Sulla formulazione dinamica dei problemi di trasporto di massa
• 21 mar 2007: Long-term planning versus short-term planning in the asymptotical location problem
• 19 feb 2004: Tre problemi di ottimizzazione in teoria del trasporto
• 14 dec 2000: Approssimazione di metriche mediante metriche riemanniane
• 2 mar 2000: Rappresentazione Supremale di Funzionali su $L^\infty$

Speaker:

• 16 sep 2024 - 20 sep 2024: Frontiers of the Calculus of Variations: a Celebration of the Mathematics of Gianni Dal Maso
• 9 sep 2024 - 13 sep 2024: Pisa-Freiburg school in Applied Analysis
• 2 jun 2024 - 8 jun 2024: First Chinese-Italian Workshop on Elliptic PDEs and Variational Problems
• 12 jun 2023 - 16 jun 2023: Calculus of Variations and Geometric Measure Theory
• 6 sep 2022 - 7 sep 2022: Optimal Transport and Uncertanity - second edition
• 20 jun 2022 - 24 jun 2022: Variational Challenges in Materials Science and Imaging
• 13 jun 2022 - 17 jun 2022: Shape Optimization, related topics and applications
• 13 jun 2022 - 17 jun 2022: Advances in Calculus of Variations
• 27 jan 2020 - 1 feb 2020: Calculus of Variations and Applications (on the occasion of Gianni Dal Maso's birthday)
• 24 jun 2019 - 26 jun 2019: Singular Nonlinear Problems in Calculus of Variations and PDEs
• 12 oct 2018 - 12 oct 2018: "Calcolo delle Variazioni ed Equazioni alle Derivate Parziali"
• 18 may 2018 - 18 may 2018: Celebrating the 25th anniversary of "Calculus of Variations and Partial Differential Equations"
• 31 may 2017 - 7 jun 2017: Workshop: Optimal Transport meets Density Functional Theory
• 16 nov 2016 - 18 nov 2016: Workshop on Calculus of Variations and Nonlinear PDE's
• 4 oct 2016 - 7 oct 2016: Lecce Conference in Calculus of Variations and Partial Differential Equation - CDV2016
• 19 sep 2016 - 23 sep 2016: A Mathematical Tribute to Ennio De Giorgi
• 15 sep 2016 - 16 sep 2016: Recent trends in the analysis of spectral problems and applications
• 8 feb 2016 - 12 feb 2016: School and Workshop "PDEs and applications"
• 10 jun 2013 - 12 jun 2013: Calcul des variations et équations différentielles
• 10 sep 2012 - 12 sep 2012: Variational Models and Methods for Evolution
• 18 jun 2012 - 22 jun 2012: Optimal Transport (to) Orsay
• 14 nov 2006 - 18 nov 2006: Optimal transport: theory and applications
• 4 jul 2005 - 8 jul 2005: Summer school on Calculus of Variations (Second Announcement)
• 17 jan 2001 - 17 jan 2001: Metodi Variazionali nell'Ottimizzazione di Forma

Organizer:

• 2 dec 2024 - 6 dec 2024: Optimal Transportation and Applications
• 18 sep 2023 - 22 sep 2023: Shape Optimization and Isoperimetric and Functional Inequalities
• 24 oct 2022 - 28 oct 2022: Optimal Transportation and Applications
• 8 nov 2021 - 9 nov 2021: Ricordando Luciano Modica
• 17 jan 2019 - 19 jan 2019: Workshop "Variational problems, PDEs and applications"
• 12 nov 2018 - 16 nov 2018: Optimal Transport and Applications
• 21 nov 2016 - 25 nov 2016: Shape Optimization and Isoperimetric and Functional Inequalities
• 7 nov 2016 - 11 nov 2016: Optimal Transportation and Applications
• 27 jun 2016 - 29 jun 2016: Workshop on "Advances in Nonlinear Problems from Materials Science and Shape Optimization"
• 27 oct 2014 - 31 oct 2014: ERC Workshop on Optimal Transportation and Applications
• 5 nov 2012 - 9 nov 2012: ERC Workshop on Optimal Transportation and Applications
• 17 nov 2011 - 17 nov 2011: Mass Transportation and Related Fields