Publications

  1. Bucur, Dorin; Nahon, Mickaël; Nitsch, Carlo; Trombetti, Cristina;

Shape optimization of a thermal insulation problem

arXiv preprint arXiv:2112.07300

2021


  1. Chiacchio, Francesco; Gavitone, Nunzia; Nitsch, Carlo; Trombetti, Cristina;

Sharp estimates for the Gaussian torsional rigidity with Robin boundary conditions

arXiv preprint arXiv:2109.10117

2021


  1. Calabrò, Francesco; Cuomo, Salvatore; Giampaolo, Fabio; Izzo, Stefano; Nitsch, Carlo; Piccialli, Francesco; Trombetti, Cristina;

Deep Learning for the Approximation of a Shape Functional

arXiv preprint arXiv:2110.02112

2021


  1. Della Pietra, Francesco; Nitsch, Carlo; Oliva, Francescantonio; Trombetti, Cristina;

On the behaviour of the first eigenvalue of the $ p $-Laplacian with Robin boundary conditions as $p$ goes to $1$

arXiv preprint arXiv:2110.15226

2021


  1. Bucur, Dorin; Ferone, Vincenzo; Nitsch, Carlo; Trombetti, Cristina;

Weinstock inequality in higher dimensions

Journal of Differential Geometry

2021

Preprint


  1. Della Pietra, Francesco; Nitsch, Carlo; Scala, Riccardo; Trombetti, Cristina;

An optimization problem in thermal insulation with Robin boundary conditions

Communications in Partial Differential Equations

2021

Preprint


  1. Alvino, A; Chiacchio, F; Nitsch, C; Trombetti, C;

Sharp estimates for solutions to elliptic problems with mixed boundary conditions

Journal de Mathématiques Pures et Appliquées

2021

Preprint


  1. Amato, Vincenzo; Masiello, Alba Lia; Nitsch, Carlo; Trombetti, Cristina;

On the solutions to $ p $-Laplace equation with Robin boundary conditions when $ p $ goes to $+\infty$

arXiv preprint arXiv:2111.10107

2021


  1. Floridia, Giuseppe; Nitsch, Carlo; Trombetti, Cristina;

Multiplicative controllability for nonlinear degenerate parabolic equations between sign-changing states

ESAIM: Control, Optimisation and Calculus of Variations

2020

Preprint


  1. van den Berg, Michiel; Ferone, Vincenzo; Nitsch, Carlo; Trombetti, Cristina;

On a Pólya functional for rhombi, isosceles triangles, and thinning convex sets

Revista Matemática Iberoamericana

2020

Preprint


  1. Della Pietra, Francesco; Nitsch, Carlo; Trombetti, Cristina;

An optimal insulation problem

Mathematische Annalen

2020

Preprint


  1. Bucur, Dorin; Ferone, Vincenzo; Nitsch, Carlo; Trombetti, Cristina;

A sharp estimate for the first Robin–Laplacian eigenvalue with negative boundary parameter

Rendiconti Lincei-Matematica e Applicazioni

2019


  1. Alvino, A; Nitsch, C; Trombetti, C;

A Talenti comparison result for solutions to elliptic problems with Robin boundary conditions

arXiv preprint arXiv:1909.11950

2019


  1. Bucur, Dorin; Ferone, Vincenzo; Nitsch, Carlo; Trombetti, Cristina;

The quantitative Faber–Krahn inequality for the Robin Laplacian

Journal of Differential Equations

2018


  1. Henrot, Antoine; Nitsch, Carlo; Salani, Paolo; Trombetti, Cristina;

Optimal concavity of the torsion function

Journal of Optimization Theory and Applications

2018


  1. Nitsch, Carlo; Trombetti, Cristina;

The classical overdetermined Serrin problem

Complex Variables and Elliptic Equations

2018


  1. Cianchi, Andrea; Ferone, Vincenzo; Nitsch, Carlo; Trombetti, Cristina;

Poincaré Trace Inequalities in $$\textit {BV}({\mathbb {B}}^ n) $$ BV (B n) with Non-standard Normalization

The Journal of Geometric Analysis

2018


  1. van den Berg, Michiel; Ferone, Vincenzo; Nitsch, Carlo; Trombetti, Cristina;

On a Polya functional for rhombi, isosceles triangles, and thinning convex sets

arXiv preprint arXiv:1811.04503

2018


  1. Cianchi, Andrea; Ferone, Vincenzo; Nitsch, Carlo; Trombetti, Cristina;

Balls minimize trace constants in BV

Journal für die reine und angewandte Mathematik (Crelles Journal)

2017


  1. Cianchi, Andrea; Ferone, Vincenzo; Nitsch, Carlo; Trombetti, Cristina;

Optimal Poincaré type trace inequalities on the Euclidean ball (Analysis on Shapes of Solutions to Partial Differential Equations)

数理解析研究所講究録= RIMS Kokyuroku

2017


  1. Cianchi, Andrea; Ferone, Vincenzo; Nitsch, Carlo; Trombetti, Cristina;

Optimal Poincare type trace inequalities on the Euclidean ball (偏微分方程式の解の形状解析)

数理解析研究所講究録

2017


  1. Brasco, Lorenzo; Nitsch, Carlo; Trombetti, Cristina;

An inequality à la Szegő–Weinberger for the p-Laplacian on convex sets

Communications in Contemporary Mathematics

2016


  1. Brandolini, Barbara; Chiacchio, Francesco; Krejčiřík, David; Trombetti, Cristina;

The equality case in a Poincaré–Wirtinger type inequality

Rendiconti Lincei-Matematica e Applicazioni

2016


  1. van den Berg, Michiel; Ferone, Vincenzo; Nitsch, Carlo; Trombetti, Cristina;

On Pólya’s inequality for torsional rigidity and first Dirichlet eigenvalue

Integral Equations and Operator Theory

2016


  1. Cianchi, Andrea; Ferone, Vincenzo; Nitsch, Carlo; Trombetti, Cristina;

Poincar\'e trace inequalities in $ BV (\mathbb B^ n) $ with nonstandard normalization

arXiv preprint arXiv:1604.01524

2016


  1. Ferone, Vincenzo; Nitsch, Carlo; Trombetti, Cristina;

On the maximal mean curvature of a smooth surface

Comptes Rendus Mathematique

2016


  1. Brandolini, Barbara; Chiacchio, Francesco; Trombetti, Cristina;

Optimal lower bounds for eigenvalues of linear and nonlinear Neumann problems

Proceedings of the Royal Society of Edinburgh Section A: Mathematics

2015


  1. Brandolini, Barbara; Della Pietra, Francesco; Nitsch, Carlo; Trombetti, Cristina;

Symmetry breaking in a constrained Cheeger type isoperimetric inequality

ESAIM: Control, Optimisation and Calculus of Variations

2015


  1. Brandolini, Barbara; Chiacchio, Francesco; Henrot, Antoine; Trombetti, Cristina;

Existence of minimizers for eigenvalues of the Dirichlet–Laplacian with a drift

Journal of Differential Equations

2015


  1. Esposito, Luca; Kawohl, Bernd; Nitsch, Carlo; Trombetti, Cristina;

The Neumann eigenvalue problem for the $\infty $-Laplacian

Rendiconti Lincei-Matematica e Applicazioni

2015


  1. Brandolini, B; Chiacchio, F; Trombetti, C;

Symmetrization for singular semilinear elliptic equations

Annali di Matematica Pura ed Applicata

2014


  1. Brandolini, Barbara; Gavitone, Nunzia; Nitsch, Carlo; Trombetti, Cristina;

Characterization of ellipsoids through an overdetermined boundary value problem of Monge–Ampère type

Journal de Mathématiques Pures et Appliquées

2014


  1. Brandolini, B; Chiacchio, F; Trombetti, C;

A sharp lower bound for some Neumann eigenvalues of the Hermite operator

Differential and Integral Equations

2013


  1. Brandolini, B; Chiacchio, F; Cîrstea, FC; Trombetti, C;

Local behaviour of singular solutions for nonlinear elliptic equations in divergence form

Calculus of Variations and Partial Differential Equations

2013


  1. Ferone, Vincenzo; Nitsch, Carlo; Trombetti, Cristina;

On a conjectured reverse Faber-Krahn inequality for a Steklov-type Laplacian eigenvalue

arXiv preprint arXiv:1307.3788

2013


  1. BRANDOLINI, B; GAVITONE, N; NITSCH, C; TROMBETTI, C;

CHARACTERIZATION OF ELLIPSOIDS VIA DOMAIN DERIVATIVE: A NEW OVERDETERMINED BOUNDARY VALUE PROBLEM

arXiv preprint arXiv:1305.2312

2013


  1. Brandolini, Barbara; Della Pietra, Francesco; Nitsch, Carlo; Trombetti, Cristina;

Symmetry breaking in a constrained Cheeger type isoperimetric inequality

arXiv preprint arXiv:1305.6271

2013


  1. Esposito, Luca; Ferone, Vincenzo; Kawohl, Bernd; Nitsch, Carlo; Trombetti, Cristina;

The longest shortest fence and sharp Poincaré–Sobolev inequalities

Archive for Rational Mechanics and Analysis

2012


  1. Ferone, Vincenzo; Nitsch, Carlo; Trombetti, Cristina;

A remark on optimal weighted Poincaré inequalities for convex domains

Rendiconti Lincei-Matematica e Applicazioni

2012


  1. Brandolini, Barbara; Chiacchio, Francesco; Henrot, Antoine; Trombetti, Cristina;

An optimal Poincar\'e-Wirtinger inequality in Gauss space

arXiv preprint arXiv:1209.6469

2012


  1. Mercaldo, Anna; Rossi, Julio D; de León, Sergio Segura; Trombetti, Cristina;

On the behaviour of solutions to the Dirichlet problem for the $p(x)$-Laplacian when $p(x)$ goes to $1$ in a subdomain

Differential and Integral Equations

2012


  1. Esposito, Luca; Nitsch, Carlo; Trombetti, Cristina;

Best constants in Poincar\'e inequalities for convex domains

arXiv preprint arXiv:1110.2960

2011


  1. Brandolini, Barbara; Freitas, Pedro; Nitsch, Carlo; Trombetti, C;

Sharp estimates and saturation phenomena for a nonlocal eigenvalue problem

Advances in Mathematics

2011


  1. Brandolini, Barbara; Nitsch, Carlo; Trombetti, Cristina;

Shape optimization for Monge-Ampère equations via domain derivative

Discrete and Continuous Dynamical Systems

2011


  1. Mercaldo, A; Rossi, Julio Daniel; de León, S Segura; Trombetti, C;

Anisotropic p, q-Laplacian equations when p goes to 1

Nonlinear Analysis: Theory, Methods & Applications

2010


  1. Brandolini, Barbara; Nitsch, Carlo; Trombetti, Cristina;

An upper bound for nonlinear eigenvalues on convex domains by means of the isoperimetric deficit

Archiv der Mathematik

2010


  1. Mercaldo, A; de León, S Segura; Trombetti, C;

On the solutions to 1-Laplacian equation with L1 data

Journal of Functional Analysis

2009


  1. Brandolini, B; Nitsch, C; Trombetti, C;

New isoperimetric estimates for solutions to Monge-Ampere equations

Annales de l'IHP Analyse non linéaire

2009


  1. Brandolini, B; Nitsch, C; Salani, P; Trombetti, C;

Stability of radial symmetry for a Monge-Ampere overdetermined problem

Annali di Matematica Pura ed Applicata

2009


  1. Brandolini, B; Chiacchio, F; Trombetti, C;

Sharp estimates for eigenfunctions of a Neumann problem

Communications in Partial Differential Equations

2009


  1. Brandolini, Barbara; Nitsch, Carlo; Salani, Paolo; Trombetti, Cristina;

Serrin-type overdetermined problems: an alternative proof

Archive for rational mechanics and analysis

2008


  1. Cianchi, Andrea; Esposito, Luca; Fusco, Nicola; Trombetti, Cristina;

A quantitative Pólya-Szegö principle

2008


  1. Brandolini, Barbara; Nitsch, Carlo; Salani, Paolo; Trombetti, Cristina;

On the stability of the Serrin problem

Journal of Differential Equations

2008


  1. Mercaldo, A; de León, S Segura; Trombetti, C;

On the behaviour of the solutions to p-Laplacian equations as p goes to 1

Publicacions Matemàtiques

2008


  1. Cîrstea, Florica Corina; Trombetti, Cristina;

On the Monge–Ampère equation with boundary blow-up: existence, uniqueness and asymptotics

Calculus of Variations and Partial Differential Equations

2008


  1. Brandolini, Barbara; Nitsch, Carlo; Salani, Paolo; Trombetti, Cristina;

A note on the Serrin problem in the plane

Le Matematiche

2008


  1. Greco, Luigi; Sbordone, Carlo; Trombetti, Cristina;

A note on planar homeomorphisms

2008


  1. Mercaldo, A; de León, S Segura; Trombetti, C;

Stability for solutions to p-Laplacian equations with L1 data as p goes to

2008


  1. Brandolini, Barbara; Chiacchio, Francesco; Trombetti, Cristina;

Hardy type inequalities and Gaussian measure

Communications on Pure & Applied Analysis

2007


  1. Brandolini, Barbara; Trombetti, Cristina;

A symmetrization result for Monge–Ampère type equations

Mathematische Nachrichten

2007


  1. Trombetti, Cristina; Brandolini, Barbara;

Comparison results for Hessian equations via symmetrization

Journal of the European Mathematical Society

2007


  1. Esposito, Luca; Trombetti, Cristina;

Steiner symmetrization: a weighted version of Pólya-Szegö principle

Nonlinear Differential Equations and Applications NoDEA

2007


  1. Amadori, Anna Lisa; Brandolini, Barbara; Trombetti, Cristina;

Viscosity solutions of the Monge-Ampère equation with the right hand side in Lp

2007


  1. Brandolini, Barbara; Chiacchio, Francesco; Trombetti, C;

Some remarks on nonlinear elliptic problems involving Hardy potentials

Houston J. Math

2007


  1. Brandolini, B; Cicalese, Marco; Nitsch, Carlo; Trombetti, Cristina;

A sharp estimate of the extinction time for the mean curvature flow

Applied mathematics letters

2007


  1. Trombetti, Cristina; Brandolini, Barbara; Amadori, Anna Lisa;

Viscosity solutions of the Monge–Ampère equation with the right hand side in L p

Rendiconti Lincei-Matematica e Applicazioni

2007


  1. Esposito, L; Mingione, G; Trombetti, C;

On the Lipschitz regularity for certain elliptic problems

2006


  1. Trombetti, C;

Esposito, L.[Esposito, Luca](I-SLRN-AM); Mingione, G.[Mingione, Giuseppe](I-PARM)

Forum Math

2006


  1. Esposito, Luca; Fusco, Nicola; Trombetti, Cristina;

A quantitative version of the isoperimetric inequality: the anisotropic case

Annali della Scuola Normale Superiore di Pisa-Classe di Scienze

2005


  1. Trombetti, C;

On a class of Monge-Ampère type equations with lower order terms

Bollettino dell'Unione Matematica Italiana

2005


  1. Brandolini, B; Cicalese, M; Nitsch, C; Trombetti, C;

Some remarks on the extinction time for the mean curvature flow

2005


  1. Brandolini, B; Trombetti, C;

Hessian equations and symmetrization

2005


  1. Esposito, Luca; Trombetti, Cristina;

Convex symmetrization and Pólya–Szegö inequality

Nonlinear Analysis: Theory, Methods & Applications

2004


  1. Grenon, Nathalie; Trombetti, Cristina;

Existence results for a class of nonlinear elliptic problems with p-growth in the gradient

Nonlinear Analysis: Theory, Methods & Applications

2003


  1. Trombetti, Cristina;

Non-uniformly elliptic equations with natural growth in the gradient

Potential Analysis

2003


  1. Cicalese, Marco; Trombetti, Cristina;

Asymptotic behaviour of solutions to p‐Laplacian equation

Asymptotic Analysis

2003


  1. Murat, François; Trombetti, Cristina;

A chain rule formula for the composition of a vector-valued function by a piecewise smooth function

Bollettino dell'Unione Matematica Italiana

2003


  1. Boccardo, Lucio; de León, Sergio Segura; Trombetti, Cristina;

Bounded and unbounded solutions for a class of quasi-linear elliptic problems with a quadratic gradient term

Journal de mathématiques pures et appliquées

2001


  1. Fusco, Nicola; Mingione, Giuseppe; Trombetti, Cristina;

Regularity of minimizers for a class of anisotropic free discontinuity problems

Journal of Convex Analysis

2001


  1. De Silva, Daniela; Trombetti, Cristina;

Some remarks on nonlinear elliptic equations and applications to Hamilton–Jacobi equations

Comptes Rendus de l'Académie des Sciences-Series I-Mathematics

2001


  1. MURAT, François; TROMBETTI, Cristina;

A chain rule formula for the composition of a vector-valued function by a piecewise smooth function

2001


  1. Trombetti, Cristina;

Existence and regularity for a class of non-uniformly elliptic equations in two dimensions

Differential and Integral Equations

2000


  1. De Arcangelis, Riccardo; Trombetti, Cristina;

On the Lavrentieff phenomenon for some classes of Dirichlet minimum points

Journal of Convex Analysis

2000


  1. Trombetti, C;

Relaxation and Lavrentiev phenomenon for some classes of integral functions

BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA

2000


  1. Trombetti, Cristina;

Rilassamento e fenomeno di Lavrentiev per alcune classi di funzionali integrali

Bollettino dell'Unione Matematica Italiana

2000


  1. De Arcangelis, Riccardo; Trombetti, Cristina;

On the relaxation of some classes of Dirichlet minimum problems

Communications in partial differential equations

1999


  1. Trombetti, Cristina;

Existence of minimizers for a class of anisotropic free discontinuity problems

Annali di Matematica Pura ed Applicata

1999


  1. Trombetti, CRISTINA;

On the Lower Semicontinuity and Relaxation Properties of Certain Classes Ofvariational Integrals

1996


  1. MERCALDO, A; ROSSI, JD; DE LEÓN, S SEGURA; TROMBETTI, C;

BEHAVIOUR OF p− LAPLACIAN PROBLEMS WITH NEUMANN BOUNDARY CONDITIONS WHEN p GOES TO 1

CPAA, to appear


  1. Boccardo, L; de León, S Segura; Trombetti, C;

a class of quasi-linear elliptic problems with a quadratic gradient term