
Serena GUARINO LO BIANCO
Ricercatore t.d. art. 24 c. 3 lett. B Dipartimento di Scienze Fisiche, Informatiche e Matematiche sede exMatematica

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2024
 A random elastic traffic equilibrium problem via stochastic quasivariational inequalities
[Articolo su rivista]
Barbagallo, Annamaria; Guarino Lo Bianco, S.
abstract
The aim of the paper is to introduce a random elastic traffic equilibrium problem in a Hilbert space setting. The equilibrium condition is expressed by a random extension of the elastic Wardrop principle. Its characterization with a stochastic quasi variational inequality is proved. Under suitable assumptions, the existence of a random equilibrium distribution is established. Furthermore, a numerical scheme to compute the random elastic traffic equilibrium distribution is presented. Finally a numerical example is discussed.
2024
 BMOType Functionals Related to the Total Variation and Connection to Denoising Models
[Articolo su rivista]
GUARINO LO BIANCO, Serena; Schiattarella, R.
abstract
The purpose of this paper is to analyze the asymptotic behaviour in the spirit of Γconvergence of BMOtype functionals related to the total variation of a function u. Moreover, we deal with a minimization problem coming from applications in image processing.
2024
 Locating network trees by a bilevel scheme
[Articolo su rivista]
Greco, L.; Guarino Lo Bianco, S.; Mallozzi, L.
abstract
In this paper we investigate how to choose an optimal position of a specific facility that is constrained to a network tree connecting some given demand points in a given area. A bilevel formulation is provided and existence results are given together with some properties when a density describes the construction cost of the networks in the area. This includes the presence of an obstacle or of free regions. To prove existence of a solution of the bilevel problem, that is framed in Euclidean spaces, a lower semicontinuity property is required. This is obtained proving an extension of Golab's theorem in the general setting of metric spaces, which allows for considering a density function.
2024
 On a reverse KohlerJobin inequality
[Articolo su rivista]
Briani, Luca; Buttazzo, Giuseppe; Guarino Lo Bianco, Serena
abstract
2023
 A BMOType Characterization of Higher Order Sobolev Spaces
[Articolo su rivista]
GUARINO LO BIANCO, Serena; Schiattarella, Roberta
abstract
2023
 A General CournotNash Equilibrium Principle and Applications to the COVID19 Pandemic
[Capitolo/Saggio]
Barbagallo, A.; Guarino Lo Bianco, S.
abstract
2023
 A random timedependent noncooperative equilibrium problem
[Articolo su rivista]
Barbagallo, Annamaria; GUARINO LO BIANCO, Serena
abstract
2023
 Infinite dimensional tensor variational inequalities with applications to an economic equilibrium problem
[Articolo su rivista]
Barbagallo, A; Guarino Lo Bianco, S
abstract
In this paper, we present a general oligopolistic market equilibrium model in which each firm produces several commodities in a time interval. To this aim, we introduce tensor variational inequalities in Hilbert spaces which are a powerful tool to analyse the model. Indeed we characterize the equilibrium condition by means of a suitable timedependent tensor variational inequality. In addition, we prove some existence and regularity results and a numerical scheme to compute the solution. Finally we provide a numerical example.
2023
 Inverse Tensor Variational Inequalities and Applications
[Articolo su rivista]
Anceschi, F; Barbagallo, A; Guarino Lo Bianco, S
abstract
The paper aims to introduce inverse tensor variational inequalities and analyze their application to an economic control equilibrium model. More precisely, some existence and uniqueness results are established and the wellposedness analysis is investigated. Moreover, the Tikhonov regularization method is extended to tensor inverse problems to study them when they are illposed. Lastly, the policymaker's point of view for the oligopolistic market equilibrium problem is introduced. The equivalence between the equilibrium conditions and a suitable inverse tensor variational inequality is established.
2022
 A NEW TENSOR PROJECTION METHOD FOR TENSOR VARIATIONAL INEQUALITIES
[Articolo su rivista]
Barbagallo, Annamaria; Guarino Lo Bianco, S.
abstract
2020
 A formula for the anisotropic total variation of SBV functions
[Articolo su rivista]
Farroni, Fernando; Fusco, Nicola; GUARINO LO BIANCO, Serena; Schiattarella, Roberta
abstract
The purpose of this paper is to present the relation between certain BMOtype seminorms and the total variation of SBV functions. Following some ideas of a recent paper by L. Ambrosio and G.E. Comi, we give a representation formula of the total variation of SBV functions which does not make use of the distributional derivatives. We consider an anisotropic variant of the BMOtype seminorm introduced in 2015 in a paper by J. Bourgain, H. Brezis and P. Mironescu, by using, instead of cubes, covering families made by translations of a given open bounded set with Lipschitz boundary.
2020
 A twophase problem with Robin conditions on the free boundary
[Articolo su rivista]
Lo Bianco, S. G.; la Manna, D. A.; Velichkov, B.
abstract
We study for the first time a twophase free boundary problem in which the solution satisfies a Robin boundary condition. We consider the case in which the solution is continuous across the free boundary and we prove an existence and a regularity result for minimizers of the associated variational problem. Finally, in the appendix, we give an example of a class of Steiner symmetric minimizers.
2020
 BMOtype seminorms generating Sobolev functions
[Articolo su rivista]
Farroni, F.; Guarino Lo Bianco, S.; Schiattarella, R.
abstract
In the recent literature certain BMOtype seminorms provide characterizations of Sobolev functions. In the same order of ideas, we obtain the norm of the gradient of a function in Lp(Ω), where Ω⊂Rn, n>1 and p>1, as limit of BMOtype seminorms involving families of pairwise disjoint sets with all orientations, the sets being not necessarily cubes or tessellation cells. An analogous result is obtained when rotations are not allowed.
2020
 On illposedness and stability of tensor variational inequalities: application to an economic equilibrium
[Articolo su rivista]
Barbagallo, A.; Guarino Lo Bianco, S.
abstract
The general tensor variational inequalities, recently introduced in Barbagallo et al. (J Non convex Anal 19:711–729, 2018), are very useful in order to analyze economic equilibrium models. For this reason, the study of existence and regularity results for such inequalities has an important rule to the light of applications. To this aim, we start to consider some exis tence and uniqueness theorems for tensor variational inequalities. Then, we investigate on the approximation of solutions to tensor variational inequalities by using suitable perturbed tensor variational inequalities. We establish the convergence of solutions to the regularized tensor variational inequalities to a solution of the original tensor variational inequality making use of the set convergence in Kuratowski’s sense. After that, we focus our attention on some stability results. At last, we apply the theoretical results to examine a general oligopolistic market equilibrium problem.
2020
 Stochastic variational formulation for a general random timedependent economic equilibrium problem
[Articolo su rivista]
Barbagallo, A.; Guarino Lo Bianco, S.
abstract
In the paper, in a Hilbert space setting, a random timedependent oligopolistic market equilibrium problem in presence of both production and demand excesses is studied and the random timedependent Cournot–Nash equilibrium principle by means of a stochastic variational inequality is characterized. Then, some existence results to such problem are established and the stochastic continuity of the equilibrium solution is proved. Moreover a simple numerical example illustrates the theoretical results.
2020
 Tensor variational inequalities: Theoretical results, numerical methods and applications to an economic equilibrium model
[Articolo su rivista]
Barbagallo, A.; Guarino Lo Bianco, S.; Toraldo, G.
abstract
The paper deals with the study of tensor variational inequalities. and some projection methods to solve them. In particular, some properties on the solutions to such an inequality are established and a fixed point theorem is proved. Moreover, some numerical methods are introduced and the convergence analysis of them is investigated. All the theoretical results are applied to analyze a general oligopolistic market equilibrium problem in which each firm produces several commodities and has some production excesses since the equilibrium condition is characterized by means of a tensor variational inequality. A numerical example is also discussed.
2019
 Optimal reinforcing networks for elastic membranes
[Articolo su rivista]
Alberti, G.; Buttazzo, G.; Guarino Lo Bianco, S.; Oudet, E.
abstract
2018
 On functionals involving the torsional rigidity related to some classes of nonlinear operators
[Articolo su rivista]
Della Pietra, Francesco; Gavitone, Nunzia; GUARINO LO BIANCO, Serena
abstract
In this paper we study optimal estimates for two functionals involving the anisotropic ptorsional rigidity.
2018
 Sharp estimates for the anisotropic torsional rigidity and the principal frequency
[Articolo su rivista]
Buttazzo, GIUSEPPE MARIO; GUARINO LO BIANCO, Serena; Marini, M.
abstract
In this paper we generalize some classical estimates involving the torsional rigidity and the principal frequency of a convex domain to a class of functionals related to some anisotropic non linear operators.
2018
 Variational inequalities on a class of structured tensors
[Articolo su rivista]
Barbagallo, Annamaria; GUARINO LO BIANCO, Serena
abstract
In this paper we study variational inequalities defined on a class of structured tensors, and provide existence and uniqueness results. An important special case considered is the nonlinear complementarity problem, recently introduced in the tensorbased form. Both the tensor variational inequality problem and the tensor complementarity problem have application in finding the Nash equilibrium point of the n person noncooperative game. Moreover, we introduce the generalized tensor variational inequalities in the tensor Hilbert space endowed with a inner product between two tensors. At last, we apply this new tool to analyze an extension of the oligopolistic market equilibrium problem.
2015
 Optimal regions for congested transport
[Articolo su rivista]
Buttazzo, G.; Carlier, Guillaume; Guarino Lo Bianco, S.
abstract
2014
 Optimal location problems with routing cost
[Articolo su rivista]
Buttazzo, G.; Guarino Lo Bianco, S.; Oliviero, F.
abstract