Publications
P. Acampora, E. Cristoforoni, C. Nitsch, C. Trombetti;
On the optimal shape of a thin insulating layer
V. Amato, A. Gentile, C. Nitsch, C. Trombetti;
On the gradient rearrangement of functions
A. Alvino, C. Nitsch, C. Trombetti;
A Talenti comparison result for solutions to elliptic problems with Robin boundary conditions
Comm. on Pure and Appl. Math 2023
arXiv preprint arXiv:1909.11950
V Amato, AL Masiello, C Nitsch, C Trombetti;
On the solutions to p-Poisson equation with Robin boundary conditions when p goes to+∞
Advances in Nonlinear Analysis
2022
A. Alvino, F. Chiacchio, C. Nitsch, C. Trombetti;
Weighted symmetrization results for a problem with variable Robin parameter
Annali di Matematica Pura ed Applicata
arXiv preprint arXiv:2207.14010
2023
P. Acampora, E. Cristoforoni, C. Nitsch, C. Trombetti;
A free boundary problem in thermal insulation with a prescribed heat source
arXiv preprint arXiv:2205.03275
2021
S. Cuomo, F. Giampaolo, S. Izzo, C. Nitsch, F. Piccialli, C. Trombetti;
A physics-informed learning approach to Bernoulli-type free boundary problems
Computers & Mathematics with Applications
2022
Bucur, Dorin; Nahon, Mickaël; Nitsch, Carlo; Trombetti, Cristina;
Shape optimization of a thermal insulation problem
Calculus Variations and Partial Differential Equations
2021
Chiacchio, Francesco; Gavitone, Nunzia; Nitsch, Carlo; Trombetti, Cristina;
Sharp estimates for the Gaussian torsional rigidity with Robin boundary conditions
Potential Analysis
2022
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 $1$
Advances in Calculus of Variations
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
Henrot, Antoine; Nitsch, Carlo; Salani, Paolo; Trombetti, Cristina;
Optimal concavity of the torsion function
Journal of Optimization Theory and Applications
2018
Bucur, Dorin; Ferone, Vincenzo; Nitsch, Carlo; Trombetti, Cristina;
The quantitative Faber–Krahn inequality for the Robin Laplacian
Journal of Differential Equations
2018
Nitsch, C; Trombetti, C;
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
Berg, M; Ferone, V; Nitsch, C; Trombetti, C;
On a P\'olya functional for rhombi, isosceles triangles, and thinning convex sets
arXiv preprint arXiv:1811.04503
2018
Cianchi, Andrea; Ferone, Vincenzo; Nitsch, Carlo; Trombetti, Cristina;
Poincaré trace inequalities in $ BV (\ mathbb B^ n) $ with nonstandard normalization
Journal of Geometric Analysis
2017
Bucur, Dorin; Buttazzo, Giuseppe; Nitsch, Carlo;
Two optimization problems in thermal insulation
Notices of the AMS
2017
Ferone, Vincenzo; Kawohl, Bernd; Nitsch, Carlo;
The elastica problem under area constraint
Mathematische Annalen
2016
Brasco, Lorenzo; Nitsch, Carlo; Trombetti, Cristina;
An inequality à la Szegő–Weinberger for the p-Laplacian on convex sets
Communications in Contemporary Mathematics
2016
Bucur, Dorin; Buttazzo, Giuseppe; Nitsch, Carlo;
Symmetry breaking for a problem in optimal insulation
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
Ferone, Vincenzo; Nitsch, Carlo; Trombetti, Cristina;
On the maximal mean curvature of a smooth surface
Comptes Rendus Mathematique
2016
Ferone, Vincenzo; Kawohl, Bernd; Nitsch, Carlo;
Generalized elastica problems under area constraint
arXiv preprint arXiv:1606.01569
2016
Gazzola, Filippo; Ishige, Kazuhiro; Nitsch, Carlo; Salani, Paolo;
Geometric Properties for Parabolic and Elliptic PDE's: GPPEPDEs, Palinuro, Italy, May 2015
2016
Ferone, Vincenzo; Nitsch, Carlo; Trombetti, Cristina;
On a conjectured reverse Faber-Krahn inequality for a Steklov-type Laplacian eigenvalue
Communications on Pure and Applied Analysis
2015
Nitsch, Carlo;
An isoperimetric result for the fundamental frequency via domain derivative
Calculus Variations and Partial Differential Equations
2014
Cianchi, Andrea; Ferone, Vincenzo; Nitsch, Carlo; Trombetti, Cristina;
Balls minimize trace constants in BV
Journal für die reine und angewandte Mathematik (to appear)
2014
Brandolini, Barbara; Della Pietra, Francesco; Nitsch, Carlo; Trombetti, Cristina;
Symmetry breaking in constrained cheeger type isoperimetric inequality
ESAIM: Control, Optimisation and Calculus of Variations
2014
Brandolini, B; Gavitone, N; Nitsch, C; Trombetti, C;
Characterization of ellipsoids through an overdetermined boundary value problem of Monge–Ampère type
Journal de Mathématiques Pures et Appliquées
2014
Nitsch, Carlo;
On the first Dirichlet Laplacian eigenvalue of regular Polygons
Kodai Mathematical Journal
2014
Kawohl, B; Nitsch, C; Sweers, G;
More on the potential for the farthest-point distance function
Potential Anal. (to appear)
2014
Esposito, L; Kawohl, Bernd; Nitsch, Carlo; Trombetti, Cristina;
The Neumann eigenvalue problem for the $\infty$-Laplacian
arXiv preprint arXiv:1405.3535
2014
Brasco, Lorenzo; Nitsch, Carlo; Pratelli, Aldo;
On the boundary of the attainable set of the dirichlet spectrum
Zeitschrift für Angewandte Mathematik und Physik (ZAMP)
2013
Esposito, Luca; Nitsch, Carlo; Trombetti, Cristina;
Best constants in Poincar\'e inequalities for convex domains
Journal of Convex Analysis
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
Ferone, Vincenzo; Nitsch, Carlo; Trombetti, Cristina;
A remark on optimal weighted Poincar\'e inequalities for convex domains
Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl
2012
Esposito, L; Ferone, V; Kawohl, B; Nitsch, C; Trombetti, C;
The Longest Shortest Fence and Sharp Poincaré–Sobolev Inequalities
Archive for Rational Mechanics and Analysis
2012
Alvino, Angelo; Ferone, Vincenzo; Nitsch, Carlo;
A sharp isoperimetric inequiality in the plane
Journal of the European Mathematical Society
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 - Series S
2011
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
Clarelli, Fabrizio; Natalini, Roberto; Nitsch, Carlo; Santarelli, Maria Laura;
A mathematical model for consolidation of building stones
Applied And Industrial Mathematics In Italy III
2010
Bertsch, Michiel; Nitsch, Carlo;
Groundwater flow in a fissurised porous stratum
Networks & Heterogeneous Media
2010
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
Alvino, Angelo; Ferone, Vincenzo; Nitsch, Carlo;
A sharp isoperimetric inequality in the plane involving Hausdorff distance
Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl
2009
Brandolini, Barbara; Nitsch, Carlo; Salani, Paolo; Trombetti, Cristina;
Serrin-type overdetermined problems: an alternative proof
Archive for rational mechanics and analysis
2008
Brandolini, B; Nitsch, C; Salani, P; Trombetti, C;
On the stability of the Serrin problem
J. Differential Equations
2008
Brandolini, Barbara; Nitsch, Carlo; Salani, Paolo; Trombetti, Cristina;
A note on the Serrin problem in the plane
Le Matematiche
2008
Bertsch, Michiel; Nitsch, Carlo;
Traveling wave solutions of a nonlinear degenerate parabolic system from petroleum engineering
Interfaces and Free Boundaries
2008
Clarelli, F; Giavarini, C; Natalini, R; Nitsch, C; Santarelli, ML;
Mathematical models for the consolidation processes flinstones
Proceedings of the Eu-ARTECH International Symposium: Stone Consolidation in Cultural Heritage—Research and Practice, Lisbon
2008
Nitsch, Carlo;
The quantitative isoperimetric inequality for planar convex domains
Bollettino dell'Unione Matematica Italiana
2008
Brandolini, B; Cicalese, Marco; Nitsch, Carlo; Trombetti, Cristina;
A sharp estimate of the extinction time for the mean curvature flow
Applied mathematics letters
2007
Barenblatt, Grigory Isaakovich; Bertsch, Michiel; Nitsch, Carlo;
Nonlocal damage accumulation and fluid flow in diatomites
Communications in Applied Mathematics and Computational Science
2006
Nitsch, C;
A free boundary problem for nonlocal damage propagation in diatomites
Free Boundary Problems
2006
Dal Passo, Roberta; Bertsch, Michiel; Nitsch, Carlo;
A system of degenerate parabolic nonlinear PDE's: a new free boundary problem
Interfaces and Free Boundaries
2005
Nitsch, Carlo;
A nonlinear parabolic system arising in damage mechanics under chemical aggression
Nonlinear Analysis: Theory, Methods & Applications
2005
Brandolini, B; Cicalese, M; Nitsch, C; Trombetti, C;
Some remarks on the extinction time for the mean curvature flow
2005
Natalini, R; Nitsch, C; Pontrelli, G; Sbaraglia, S;
A numerical study of a nonlocal model of damage propagation under chemical aggression
European Journal of Applied Mathematics
2003