Publications
Bucur, Dorin; Nahon, Mickaël; Nitsch, Carlo; Trombetti, Cristina;
Shape optimization of a thermal insulation problem
arXiv preprint arXiv:2112.07300
2021
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
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
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
Bucur, Dorin; Ferone, Vincenzo; Nitsch, Carlo; Trombetti, Cristina;
Weinstock inequality in higher dimensions
Journal of Differential Geometry
2021
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
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
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
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
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
Della Pietra, Francesco; Nitsch, Carlo; Trombetti, Cristina;
An optimal insulation problem
Mathematische Annalen
2020
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
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
Bucur, Dorin; Ferone, Vincenzo; Nitsch, Carlo; Trombetti, Cristina;
The quantitative Faber–Krahn inequality for the Robin Laplacian
Journal of Differential Equations
2018
Henrot, Antoine; Nitsch, Carlo; Salani, Paolo; Trombetti, Cristina;
Optimal concavity of the torsion function
Journal of Optimization Theory and Applications
2018
Nitsch, Carlo; Trombetti, Cristina;
The classical overdetermined Serrin problem
Complex Variables and Elliptic Equations
2018
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
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
Cianchi, Andrea; Ferone, Vincenzo; Nitsch, Carlo; Trombetti, Cristina;
Balls minimize trace constants in BV
Journal für die reine und angewandte Mathematik (Crelles Journal)
2017
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
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
Brasco, Lorenzo; Nitsch, Carlo; Trombetti, Cristina;
An inequality à la Szegő–Weinberger for the p-Laplacian on convex sets
Communications in Contemporary Mathematics
2016
Brandolini, Barbara; Chiacchio, Francesco; Krejčiřík, David; Trombetti, Cristina;
The equality case in a Poincaré–Wirtinger type inequality
Rendiconti Lincei-Matematica e Applicazioni
2016
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
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
Ferone, Vincenzo; Nitsch, Carlo; Trombetti, Cristina;
On the maximal mean curvature of a smooth surface
Comptes Rendus Mathematique
2016
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
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
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
Esposito, Luca; Kawohl, Bernd; Nitsch, Carlo; Trombetti, Cristina;
The Neumann eigenvalue problem for the $\infty $-Laplacian
Rendiconti Lincei-Matematica e Applicazioni
2015
Brandolini, B; Chiacchio, F; Trombetti, C;
Symmetrization for singular semilinear elliptic equations
Annali di Matematica Pura ed Applicata
2014
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
Brandolini, B; Chiacchio, F; Trombetti, C;
A sharp lower bound for some Neumann eigenvalues of the Hermite operator
Differential and Integral Equations
2013
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
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
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
Brandolini, Barbara; Della Pietra, Francesco; Nitsch, Carlo; Trombetti, Cristina;
Symmetry breaking in a constrained Cheeger type isoperimetric inequality
arXiv preprint arXiv:1305.6271
2013
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
Ferone, Vincenzo; Nitsch, Carlo; Trombetti, Cristina;
A remark on optimal weighted Poincaré inequalities for convex domains
Rendiconti Lincei-Matematica e Applicazioni
2012
Brandolini, Barbara; Chiacchio, Francesco; Henrot, Antoine; Trombetti, Cristina;
An optimal Poincar\'e-Wirtinger inequality in Gauss space
arXiv preprint arXiv:1209.6469
2012
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
Esposito, Luca; Nitsch, Carlo; Trombetti, Cristina;
Best constants in Poincar\'e inequalities for convex domains
arXiv preprint arXiv:1110.2960
2011
Brandolini, Barbara; Freitas, Pedro; Nitsch, Carlo; Trombetti, C;
Sharp estimates and saturation phenomena for a nonlocal eigenvalue problem
Advances in Mathematics
2011
Brandolini, Barbara; Nitsch, Carlo; Trombetti, Cristina;
Shape optimization for Monge-Ampère equations via domain derivative
Discrete and Continuous Dynamical Systems
2011
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
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
Mercaldo, A; de León, S Segura; Trombetti, C;
On the solutions to 1-Laplacian equation with L1 data
Journal of Functional Analysis
2009
Brandolini, B; Nitsch, C; Trombetti, C;
New isoperimetric estimates for solutions to Monge-Ampere equations
Annales de l'IHP Analyse non linéaire
2009
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
Brandolini, B; Chiacchio, F; Trombetti, C;
Sharp estimates for eigenfunctions of a Neumann problem
Communications in Partial Differential Equations
2009
Brandolini, Barbara; Nitsch, Carlo; Salani, Paolo; Trombetti, Cristina;
Serrin-type overdetermined problems: an alternative proof
Archive for rational mechanics and analysis
2008
Cianchi, Andrea; Esposito, Luca; Fusco, Nicola; Trombetti, Cristina;
A quantitative Pólya-Szegö principle
2008
Brandolini, Barbara; Nitsch, Carlo; Salani, Paolo; Trombetti, Cristina;
On the stability of the Serrin problem
Journal of Differential Equations
2008
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
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
Brandolini, Barbara; Nitsch, Carlo; Salani, Paolo; Trombetti, Cristina;
A note on the Serrin problem in the plane
Le Matematiche
2008
Greco, Luigi; Sbordone, Carlo; Trombetti, Cristina;
A note on planar homeomorphisms
2008
Mercaldo, A; de León, S Segura; Trombetti, C;
Stability for solutions to p-Laplacian equations with L1 data as p goes to
2008
Brandolini, Barbara; Chiacchio, Francesco; Trombetti, Cristina;
Hardy type inequalities and Gaussian measure
Communications on Pure & Applied Analysis
2007
Brandolini, Barbara; Trombetti, Cristina;
A symmetrization result for Monge–Ampère type equations
Mathematische Nachrichten
2007
Trombetti, Cristina; Brandolini, Barbara;
Comparison results for Hessian equations via symmetrization
Journal of the European Mathematical Society
2007
Esposito, Luca; Trombetti, Cristina;
Steiner symmetrization: a weighted version of Pólya-Szegö principle
Nonlinear Differential Equations and Applications NoDEA
2007
Amadori, Anna Lisa; Brandolini, Barbara; Trombetti, Cristina;
Viscosity solutions of the Monge-Ampère equation with the right hand side in Lp
2007
Brandolini, Barbara; Chiacchio, Francesco; Trombetti, C;
Some remarks on nonlinear elliptic problems involving Hardy potentials
Houston J. Math
2007
Brandolini, B; Cicalese, Marco; Nitsch, Carlo; Trombetti, Cristina;
A sharp estimate of the extinction time for the mean curvature flow
Applied mathematics letters
2007
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
Esposito, L; Mingione, G; Trombetti, C;
On the Lipschitz regularity for certain elliptic problems
2006
Trombetti, C;
Esposito, L.[Esposito, Luca](I-SLRN-AM); Mingione, G.[Mingione, Giuseppe](I-PARM)
Forum Math
2006
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
Trombetti, C;
On a class of Monge-Ampère type equations with lower order terms
Bollettino dell'Unione Matematica Italiana
2005
Brandolini, B; Cicalese, M; Nitsch, C; Trombetti, C;
Some remarks on the extinction time for the mean curvature flow
2005
Brandolini, B; Trombetti, C;
Hessian equations and symmetrization
2005
Esposito, Luca; Trombetti, Cristina;
Convex symmetrization and Pólya–Szegö inequality
Nonlinear Analysis: Theory, Methods & Applications
2004
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
Trombetti, Cristina;
Non-uniformly elliptic equations with natural growth in the gradient
Potential Analysis
2003
Cicalese, Marco; Trombetti, Cristina;
Asymptotic behaviour of solutions to p‐Laplacian equation
Asymptotic Analysis
2003
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
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
Fusco, Nicola; Mingione, Giuseppe; Trombetti, Cristina;
Regularity of minimizers for a class of anisotropic free discontinuity problems
Journal of Convex Analysis
2001
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
MURAT, François; TROMBETTI, Cristina;
A chain rule formula for the composition of a vector-valued function by a piecewise smooth function
2001
Trombetti, Cristina;
Existence and regularity for a class of non-uniformly elliptic equations in two dimensions
Differential and Integral Equations
2000
De Arcangelis, Riccardo; Trombetti, Cristina;
On the Lavrentieff phenomenon for some classes of Dirichlet minimum points
Journal of Convex Analysis
2000
Trombetti, C;
Relaxation and Lavrentiev phenomenon for some classes of integral functions
BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA
2000
Trombetti, Cristina;
Rilassamento e fenomeno di Lavrentiev per alcune classi di funzionali integrali
Bollettino dell'Unione Matematica Italiana
2000
De Arcangelis, Riccardo; Trombetti, Cristina;
On the relaxation of some classes of Dirichlet minimum problems
Communications in partial differential equations
1999
Trombetti, Cristina;
Existence of minimizers for a class of anisotropic free discontinuity problems
Annali di Matematica Pura ed Applicata
1999
Trombetti, CRISTINA;
On the Lower Semicontinuity and Relaxation Properties of Certain Classes Ofvariational Integrals
1996
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
Boccardo, L; de León, S Segura; Trombetti, C;
a class of quasi-linear elliptic problems with a quadratic gradient term