G. Bouchitté, G. Buttazzo, I. Fragalà:
Mean Curvature of a Measure and Related Variational Problems
Ann. Scuola Norm. Sup. Cl. Sci. Vol. XXV, N. 4, p. 179-196, 1997

G. Buttazzo, P. Guasoni:
Shape Optimization Problems over Classes of Convex Domains
J. Convex Analysis () N. 4-2, p. 1-9, 1997

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:
Characterization of Optimal Shapes and Masses through Monge-Kantorovich Equation
(Preprint) 2000

G. Buttazzo, A. Wagner:
On the optimal shape of a rigid body supported by an elastic membrane
Nonlinear Anal. Vol. 39, p. 47-63, 2000

G. Bouchitté, G. Buttazzo, I. Fragalà:
Convergence of Sobolev Spaces on Varying Manifolds
J. Geom. Anal. Vol. 11, N. 3, 2001

G. Buttazzo, L. De Pascale, I. Fragalà:
Topological Equivalence of Some Variational Problems Involving Distances
Discrete Contin. Dinam. Systems Vol. 7, p. 247-258, 2001

D. Bucur, G. Buttazzo, N. Varchon:
On the problem of optimal cutting
SIAM J. Optim. 2001

G. Buttazzo, C. Timofte:
On The Relaxation of Some Optimal Partition Problems 
(Preprint) p. 11, 2001

E. Bini, G. Buttazzo, G. Buttazzo:
A hyperbolic bound for the rate monotonic algorithm
IEEE Proceedings of the 13th Euromicro Conference on Real-Time Systems p. 59-66, 2001

G. Buttazzo, B. Schweizer:
$\Gamma$ convergence of Hausdorff measures
(Submitted Paper) 2002

A. Braides, G. Buttazzo, I. Fragalà:
Riemannian approximation of Finsler metrics
Asymptotic Anal. Vol. 31, N. 2, p. 177-187, 2002

E. Acerbi, G. Buttazzo, F. Prinari:
The class of functionals which can be represented by a supremum
J. Convex Anal. Vol. 9, N. 1, p. 225-236, 2002

G. Bouchitté, G. Buttazzo, I. Fragalà:
Bounds for the effective coefficients of homogenized low dimensional structures
J. Math. Pures Appl. Vol. 81, N. 5, p. 453-469, 2002

G. Buttazzo, E. Oudet, E. Stepanov:
Optimal transportation problems with free Dirichlet regions
Progress in Nonlinear Diff. Equations and their Applications Vol. 51, p. 41-65, 2002

G. Buttazzo, L. De Pascale:
Optimal Shapes and Masses, and Optimal Transportation Problems
 Lecture Notes in Math., 1813, Springer, Berlin Vol. 1813, p. 11-51, 2003

G. Buttazzo, E. Stepanov:
Optimal transportation networks as free Dirichlet regions for the Monge-Kantorovich problem
Ann. Sc. Norm. Sup. Pisa Cl. Sci. Vol. II, N. 4, p. 631-678, 2003

G. Bouchitté, G. Buttazzo, L. De Pascale:
A p-Laplacian approximation for some mass optimization problems
J. Optim. Theory Appl.  Vol. 118, N. 1, p. 1-25, 2003

G. Buttazzo, E. Stepanov:
On regularity of transport density in the Monge-Kantorovich problem
SIAM J. Control Optim. Vol. 42, N. 3, p. 1044-1055, 2003

E. Bini, G. Buttazzo, G. Buttazzo:
Rate monotonic analysis: the hyperbolic bound
IEEE Transactions on Computers Vol. 52, N. 7, p. 933-942, 2003

G. Buttazzo, M. Mintchev:
Curve brachistocrone in campi di gravita'
(Preprint) 2004

G. Buttazzo, E. Stepanov:
Minimization problems for average distance functionals
Calculus of Variations: Topics from the Mathematical Heritage of Ennio De Giorgi, D. Pallara (ed.), Quaderni di Matematica, Seconda Universit\`{a} di Napoli, Caserta Vol. 14, p. 47-83, 2004

G. Buttazzo, N. Varchon, H. Zoubairi:
Optimal measures for elliptic problems
Annali Mat. Pur. Appl. (Accepted Paper) 2004

G. Buttazzo, A. Davini, I. Fragalà, F. Macià:
Optimal Riemannian distances preventing mass transfer
J. Reine Angew. Math. (Crelles Journal) Vol. 575, p. 157-171, 2004

G. Buttazzo:
Three Optimization Problems in Mass Transportation Theory
(Preprint) 2004

G. Buttazzo, E. Stepanov:
Transport density in Monge-Kantorovich problems with Dirichlet conditions
Discrete Contin. Dyn. Syst.  Vol. 12, N. 4, p. 607-628, 2005

G. Buttazzo, M. O. Rieger:
Variational problems for functionals involving the value distribution
(Preprint) 2005

Z. Belhachmi, D. Bucur, G. Buttazzo, J. M. Sac-Epée:
Shape optimization problems for eigenvalues of elliptic operators
(Preprint) 2005

G. Buttazzo, F. Santambrogio:
A Model for the Optimal Planning of an Urban Area
SIAM J. Math. Anal. Vol. 37, N. 2, p. 514-530, 2005

G. Buttazzo, N. Varchon:
On the Optimal Reinforcement of an Elastic Membrane
(Preprint) 2005

A. Brancolini, G. Buttazzo:
Optimal Networks For Mass Transportation Problems
ESAIM Control Optim. Calc. Var. Vol. 11, N. 1, p. 88-101, 2005

G. Buttazzo, A. Pratelli, E. Stepanov:
Optimal pricing policies for public transportation networks
SIAM J. Opt Vol. 16, N. 3, p. 826-853, 2006

G. Buttazzo, F. Santambrogio, N. Varchon:
Asymptotics of an optimal compliance-location problem
ESAIM: COCV Vol. 12, N. 4, p. 752-769, 2006

G. Buttazzo:
Problems with Free Interfaces and Free Discontinuities: Variational Problems
Encyclopedia of Mathematical Physics (ISBN 978-0-1251-2666-3), Elsevier, Amsterdam (2006). Vol. 2, p. 411-416, 2006

D. Bucur, G. Buttazzo, A. Lux:
Quasistatic evolution in debonding problems via capacitary methods
(Submitted Paper) 2006

A. Brancolini, G. Buttazzo, F. Santambrogio:
Path Functionals over Wasserstein Spaces
J. Eur. Math. Soc. Vol. 8, N. 3, p. 415-434, 2006

D. Bucur, G. Buttazzo:
Irreversible quasistatic evolutions by minimizing movements
(Preprint) 2007

G. Buttazzo, G. Carlier, M. Comte:
On the selection of maximal Cheeger sets
(Preprint) 2007

G. Buttazzo, F. Santambrogio:
Asymptotical compliance optimization for connected networks
Networks and Heterogeneous Media Vol. 2, N. 4, p. 761 - 777, 2007

G. Buttazzo:
A survey on the Newton problem of optimal profiles
(Preprint) 2007

G. Buttazzo, L. De Pascale, I. Fragalà:
Erratum to: Topological equivalence of some variational problems involving distances
Discrete and Continuous Dynamical Systems - Series A Vol. 18, N. 1, p. 219-220, 2007

G. Buttazzo:
Problemi di ottimizzazione in teoria del trasporto di massa
(Preprint) 2008

G. Bouchitté, G. Buttazzo, L. De Pascale:
The Monge-Kantorovich problem for distributions and applications
(Preprint) 2008

G. Buttazzo, G. Carlier:
Optimal spatial pricing strategies with transportation costs
Israel Mathematical Conference Proceedings subseries of the American Mathematical Society Contemporary Mathematics series (Accepted Paper) 2008

G. Buttazzo, E. Mainini, E. Stepanov:
Stationary configurations for the average distance functional and related problems
Control Cybernet. Vol. 38, N. 4A, p. 1107-1130, 2009

G. Buttazzo, B. Kawohl:
Overdetermined boundary value problems for the $\infty$-Laplacian
(Preprint) 2009

G. Buttazzo, F. Santambrogio:
A Mass Transportation Model for the Optimal Planning of an Urban Region
Siam Review Vol. 51, N. 3, p. 593-610, 2009

G. Buttazzo, F. Maestre:
Optimal Shape for Elliptic Problems with Random Perturbations
(Preprint) 2009

G. Buttazzo, A. Pratelli, S. Solimini, E. Stepanov:
Optimal urban networks via mass transportation
Springer Lecture Notes in Mathematics Vol. 1961, p. 160 pp., 2009

D. Bucur, G. Buttazzo, A. Henrot:
Minimization of $\lambda_2(\Omega)$ with a perimeter constraint
(Preprint) 2009

G. Buttazzo, A. Wagner:
On some rescaled shape optimization problems
(Submitted Paper) 2009

G. Buttazzo, C. Jimenez, E. Oudet:
An optimization problem for mass transportation with congested dynamics
SIAM. J. Control Optim 2009

A. Brancolini, G. Buttazzo, F. Santambrogio, E. Stepanov:
Long-term planning versus short-term planning in the asymptotical location problem
ESAIM Control Optim. Calc. Var. Vol. 15, p. 509-524, 2009

G. Buttazzo, P. Kogut:
Weak Optimal Controls in Coefficients for Linear Elliptic Problems
(Preprint) 2010

G. Buttazzo:
Spectral Optimization Problems
(Preprint) p. 42, 2010

L. Brasco, G. Buttazzo, F. Santambrogio:
A Benamou-Brenier approach to branched transport
SIAM J. Math. Anal. (Accepted Paper) 2010

G. Buttazzo, G. Carlier, R. Tahraoui:
On some systems controlled by the structure of their memory
(Preprint) 2010

G. Buttazzo, S. Nazarov:
Optimal location of support points in the Kirchhoff plate
Journal of Mathematical Sciences Vol. 176, N. 6, p. 786-796, 2011

G. Buttazzo:
Evolution models for mass transportation problems
Milan J. Math. (Accepted Paper) 2012

G. Buttazzo, L. De Pascale, P. Gori-Giorgi:
Optimal-transport formulation of electronic density-functional theory
Physical Review A (Accepted Paper) p. 12, 2012

G. Buttazzo, B. Velichkov:
Some New Problems in Spectral Optimization
(Preprint) 2012

G. Buttazzo, A. Nayam:
Stationary Configuration of some Optimal Shaping
International journal of dynamical system and differential equation Vol. 4, p. 198-214, 2012

G. Buttazzo, S. Nazarov:
Optimal location of support points in the Kirchhoff plate
In "Variational Analysis and Aerospace Engineering: Mathematical Challenges for Aerospace Design'', Springer Optimization and Its Applications Vol. 66, p. 93-116, 2012

J. C. L. Alfonso, G. Buttazzo, B. García-Archilla, M. A. Herrero, L. Núñez:
A class of optimization problems in radiotherapy dosimetry planning
Discrete Contin. Dyn. Syst. Ser. B Vol. 17, N. 6, p. 1651-1672, 2012

D. Bucur, G. Buttazzo:
On the characterization of the compact embedding of Sobolev spaces
Calc. Var. and PDEs (Accepted Paper) p. 19, 2012

G. Buttazzo, S. Guarino Lo Bianco, F. Oliviero:
Optimal location problems with routing cost
Discrete Contin. Dyn. Syst. (Accepted Paper) 2013

D. Bucur, G. Buttazzo, U. Stefanelli:
Shape flows for spectral optimization problems
Interfaces Free Bound. Vol. 14, p. 521--544, 2013

D. Bucur, G. Buttazzo, B. Velichkov:
Shape Optimization Problems with Internal Constraint
Ann. I. H. Poincare' Anal. Non Lineaire  Vol. 30, N. 3, p. 467--495, 2013

G. Buttazzo, F. Santambrogio, E. Stepanov:
Asymptotic optimal location of facilities in a competition between population and industries
Ann. Scuola Norm. Sup. Pisa Cl. Sci. Vol. 12, N. 1, p. 239273, 2013

G. Buttazzo, A. Gerolin, B. Ruffini, B. Velichkov:
Optimal Potentials for Schrödinger Operators
J. Éc. polytech. Math. 2013

G. Buttazzo:
Il problema di Newton dei profili aerodinamici ottimi
Ithaca Viaggio nella Scienza (published paper) Vol. II, p. 7-15, 2013

G. Buttazzo, B. Velichkov:
Shape optimization problems on metric measure spaces
J. Funct. Anal. Vol. 264, N. 1, p. 1--33, 2013

G. Buttazzo, M. van den Berg, B. Velichkov:
Optimization problems involving the first Dirichlet eigenvalue and the torsional rigidity
(Preprint) 2014

G. Buttazzo, G. Carlier, S. Guarino Lo Bianco:
Optimal Regions for Congested Transport
(Preprint) 2014

G. Buttazzo, B. Velichkov:
The spectral drop problem
(Preprint) 2014

L. Brasco, G. Buttazzo:
Improved energy bounds for Schrödinger operators
Calc. Var. Partial Differential Equations (Accepted Paper) p. 31, 2014

G. Buttazzo, B. Ruffini, B. Velichkov:
Shape Optimization Problems for Metric Graphs
ESAIM Control Optim. Calc. Var. Vol. 20, N. 01, p. 1--22, 2014

G. Buttazzo, A. Chen, J. Darbon, J. M. Morel, F. Santambrogio:
On the equations of landscape formation
Interfaces Free Bound. Vol. 16, N. 1, p. 105-136, 2014

E. Bini, G. Buttazzo:
The optimal sampling pattern for linear control systems
IEEE Trans. Automat. Control Vol. 59, N. 1, p. 78-90, 2014

J. C. L. Alfonso, G. Buttazzo, B. García-Archilla, M. A. Herrero, L. Núñez:
Selecting Radiotherapy Dose Distributions by Means of Constrained Optimization Problems
Bull. Math. Biol. Vol. 76, p. 1017-1044, 2014

D. Bucur, G. Buttazzo, B. Velichkov:
Spectral optimization problems for potentials and measures
SIAM J. Math. Anal. 2014

G. Bouchitté, G. Buttazzo:
Optimal design problems for Schrödinger operators with noncompact resolvents
(Submitted Paper) 2015

G. Buttazzo, E. Oudet, B. Velichkov:
A free boundary problem arising in PDE optimization
Calc. Var. PDE 2015

G. Buttazzo, T. Champion, L. De Pascale:
Continuity and estimates for multimarginal optimal transportation problems with singular costs
(Submitted Paper) 2016

M. Bongini, G. Buttazzo:
Optimal Control Problems in Transport Dynamics
(Submitted Paper) 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:
Worst-case shape optimization for the Dirichlet energy
Nonlinear Analysis 2016

G. Buttazzo, S. Guarino Lo Bianco, M. Marini:
Sharp estimates for the anisotropic torsional rigidity and the principal frequency
Journal of Mathematical Analysis and Applications (Accepted Paper) 2017

G. Buttazzo, G. Carlier, M. Laborde:
On the Wasserstein distance between mutually singular measures
(Submitted Paper) 2017

G. Buttazzo, G. Cardone, S. Nazarov:
Thin elastic plates supported over small areas II. Variational-asymptotic models.
(Submitted Paper) 2017

S. Bartels, G. Buttazzo:
Numerical  solution of a nonlinear eigenvalue problem arising in optimal  insulation
(Submitted Paper) 2017

D. Bucur, G. Buttazzo, C. Nitsch:
Two optimization problems in thermal insulation
Notices Amer. Math. Soc. Vol. 64, N. 8, p. 830-835, 2017

D. Bucur, G. Buttazzo, C. Nitsch:
Symmetry breaking for a problem in optimal insulation
Journal de Mathématiques Pures et Appliquées (Accepted Paper) 2017

G. Buttazzo, B. Velichkov:
A shape optimal control problem and its probabilistic counterpart
SIAM J. Math. Anal. (Accepted Paper) p. 16, 2017

G. Buttazzo, B. Velichkov:
Spectral optimization problems for Schrödinger operators
(Book Chapter) 2017

G. Buttazzo, F. Maestre, B. Velichkov:
Optimal potentials for problems with changing sign data
Journal of Optimization Theory and Applications 2017

G. Bouchitté, G. Buttazzo, T. Champion, L. De Pascale:
Dissociating limit in Density Functional Theory with Coulomb optimal transport cost
(Submitted Paper) 2018

G. Alberti, G. Buttazzo, S. Guarino Lo Bianco, E. Oudet:
Optimal reinforcing networks for elastic membranes
Networks and Heterogeneous Media (Accepted Paper) 2019

G. Bouchitté, G. Buttazzo, T. Champion, L. De Pascale:
Relaxed multi-marginal costs and quantization effects
(Preprint) 2019

G. Buttazzo, J. Casado-Diaz, F. Maestre:
On the existence of optimal potentials on unbounded domains
(Preprint) 2019

G. Buttazzo, H. Shrivastava:
Optimal shapes for general integral functionals
Annales Henry Lebesgue 2019

G. Buttazzo, F. P. Maiale:
Optimal one-dimensional structures for the principal eigenvalue of two-dimensional domains
(Accepted Paper) 2020

G. Buttazzo, F. P. Maiale:
Shape optimization problems for functionals with a boundary integral
(Accepted Paper) 2020

L. Briani, G. Buttazzo, F. Prinari:
Some inequalities involving perimeter and torsional rigidity
AMO 2020

G. Buttazzo, M. van den Berg:
On capacity and torsional rigidity
(Preprint) 2020

G. Buttazzo, F. P. Maiale, B. Velichkov:
Shape optimization problems in control form
(Submitted Paper) 2021

L. Briani, G. Buttazzo, F. Prinari:
A shape optimization problem on planar sets with prescribed topology
Jota 2021

G. Buttazzo, A. Pratelli, M. van den Berg:
On the relations between principal eigenvalue and torsional rigidity
Comm. Contemp. Math. 2021

G. Buttazzo, A. Pratelli:
An application of the continuous Steiner symmetrization to Blaschke-Santalò diagrams
ESAIM Control Optim. Calc. Var. 2021

L. Briani, G. Buttazzo, F. Prinari:
On a class of Cheeger inequalities
Annali di Matematica Pura ed Applicata 2021

L. Briani, G. Buttazzo, F. Prinari:
Inequalities between torsional rigidity and principal eigenvalue of the $p$-Laplacian
Calc. Var. Partial Differ. Equ. 2021

G. Buttazzo, G. Carlier, K. Eichinger:
Wasserstein interpolation with constraints and application to a parking problem
(Submitted Paper) 2022

G. Buttazzo:
On the continuity of the Continuous Steiner Symmetrization
(Preprint) 2022

L. Briani, G. Buttazzo, S. Guarino Lo Bianco:
On a reverse Kohler-Jobin inequality
(Submitted Paper) 2022

G. Buttazzo, F. P. Maiale, D. Mazzoleni, G. Tortone, B. Velichkov:
Regularity of the optimal sets for a class of integral shape functionals
(Preprint) 2022

G. Buttazzo, M. S. Gelli, D. Lui:
Mass optimization problem with convex cost
SIAM J.  Math. Anal. 2022

B. Bogosel, G. Buttazzo, E. Oudet:
On the numerical approximation of Blaschke-Santaló diagrams using Centroidal Voronoi Tessellations
(Preprint) 2023

G. Buttazzo, J. Casado-Diaz, F. Maestre:
On the regularity of optimal potentials in control problems governed by elliptic equations
(Preprint) 2023