Publication
Publication
Preprints
Bucur D.; Ferone V.; Nitsch C.;Trombetti, C.,A Sharp estimate for the first Robin-Laplacian eigenvalue with negative boundary parameter, Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica e Applicazioni, Volume 30 (2019), no.4, 665-676 (preprint arXiv 1810.06108)
Cianchi A.; Ferone V.; Nitsch C.;Trombetti, C.,Poincaré Trace Inequalities in BV(Bn) with Non-standard Normalization, Journal of Geometric Analysis, Volume 28 (2018), no.4, 3522-3552 (preprint arXiv 1604.01524)
Nitsch C.;Trombetti, C.,The classical overdetermined Serrin problem, Complex Variables and Elliptic Equations, Volume 63 (2018), no.7-8, 665-676 (preprint arXiv 1711.10787)
Henrot A.; Nitsch C.; Salani P.; Trombetti, C.,Optimal Concavity of the Torsion Function, Journal of Optimization Theory and Applications, Volume 178 (2018), no.1, 26-35 (preprint arXiv 1701.05821)
Bucur, D.; Ferone, V.; Nitsch C.; Trombetti, C.,The quantitative FaberKrahn inequality for the Robin Laplacian, Journal of Differential Equations, Volume 264 (2018), no.7, 4488-4503 (preprint arXiv 1611.06704)
Ferone, V.; Kawohl, B.; Nitsch C.,Generalized elastica problems under area constraint, Mathematical Research Letters, Volume 25 (2018), no.2, 521-533 (preprint arXiv 1606.01569)
Bucur, D.; Buttazzo G.; Nitsch C.,Two optimization problems in thermal insulation, Notices of the American Mathematical Society, Volume 64 (2017), no.8, 830-835 (preprint arXiv 1708.08202)
Bucur, D.; Buttazzo, G.; Nitsch C.,Symmetry breaking for a problem in optimal insulation, Journal des Mathematiques Pures et Appliquees, Volume 107 (2017), no.4, 451-463 (preprint arXiv 1601.02146 )
Cianchi, A.; Ferone, V.; Nitsch, C.; Trombetti, C.,Balls minimize trace constants in BV, Journal fur die Reine und Angewandte Mathematik, Volume 2017 (2017), no.724, 451-463 (preprint arXiv 1301.5770 )
Brasco, L.; Nitsch, C.; Trombetti, C.,An inequality à la Szego-Weinberger for the p-Laplacian on convex sets, Communications in Contemporary Mathematics, Volume 18 (2016), no.6, 451-463 (preprint arXiv 1407.7422 )
van den Berg M.; Ferone V.; Nitsch C.; Trombetti C., On Polya's inequality for torsional rigidity and first Dirichlet eigenvalue, Integral Equations and Operator Theory, Volume 86, Issue 4, 579-600 (preprint arXiv 1602.04618)
Ferone V.; Nitsch C.; Trombetti C., On the maximal mean curvature of a smooth surface, Comptes Rendus Mathematique Volume 354, Issue 9, 891-895 (preprint arXiv 1604.06042)
Ferone V.; Kawohl B.; Nitsch C., The elastica problem under area constraint, Mathematischen Annalen 365 (2016), 987-1015 (preprint arXiv 1411.6100)
Brasco L.; Nitsch C.; Trombetti C., An inequality à la Szegö-Weinberger for the p-Laplacian on convex sets, Communications in Contemporary Mathematics (2015) 1-23 (preprint arXiv 1407.7422)
Esposito L.; Kawohl B.; Nitsch C.; Trombetti C., The Neumann eigenvalue problem for the $\infty -$Laplacian, Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl. 26 (2015), 119-134 (preprint arXiv 1405.3535)
Brandolini B.; Della Pietra F.; Nitsch C.; Trombetti C., Symmetry breaking in constrained Cheeger type isoperimetric inequality, ESAIM Control Optim. Calc. Var. 21 (2015), 359-371 (preprint arXiv 1305.2312)
Sweers G.; Kawohl B.; Nitsch C.; More on the potential for the farthest-point distance function, Potential Anal. 42 (2015), 699-716 (newton.ac.uk NI14040)
Ferone V.; Nitsch C.; Trombetti C., On a conjectured reverse Faber-Krahn inequality for a Steklov-type Laplacian eigenvalue, Communications on Pure and Applied Analysis 14 (2015), no. 1, 63-81. (preprint arXiv 1307.3788)
Nitsch C., On the first Dirichlet Laplacian eigenvalue of regular polygons, Kodai Mathematical Journal 37 (2014), no. 3, 595-607. (preprint arXiv 1403.6709)
Brandolini B.; Gavitone N.; Nitsch C.; Trombetti C., Characterization of ellipsoids via domain derivative: a new overdetermined boundary value problem, Journal de Mathématiques Pures et Appliquées (9) 101 (2014), no. 6, 828-841 (preprint arXiv 1305.2312)
Nitsch C., An isoperimetric result for the fundamental frequency via domain derivative, Calc. Var. Partial Differential Equations 49 (2014), no. 1-2, 323-335 (preprint arXiv 1201.5328)
Brasco L.; Nitsch C.; Pratelli A., On the boundary of the attainable set of the Dirichlet spectrum, Z. Angew. Math. Phys. 64 (2013), no.3, 591-597 (preprint http://cvgmt.sns.it/paper/1721/)
Esposito L.; Nitsch C.; Trombetti C., Best constants in Poincaré inequalities for convex domains, Journal of Convex Analysis 20 (2013), no.1 253-264 (preprint arXiv 1110.2960)
Ferone V.; Nitsch C.; Trombetti C., A remark on optimal weighted Poincaré inequalities for convex domains, Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. 23 (2012), no.4 351-360 (preprint arXiv 1207.0680)
Esposito L.; Ferone V.; Kawohl B.; Nitsch C.; Trombetti C., The longest shortest fence and sharp Poincaré-Sobolev inequalities, Arch. Ration. Mech. An. 206 (2012), no.3 821-851. (preprint arXiv 1011.6248)
Brandolini B.; Freitas P.; Nitsch C.; Trombetti C., Sharp estimates and saturation phenomena for a nonlocal eigenvalue problem, Adv. Math. 228 (2011), no.4 2352-2365.
Alvino A.; Ferone V.; Nitsch C., A sharp isoperimetric inequality in the plane, J. Eur. Math. Soc. (JEMS) 13 (2011), no.4 185-206.
Brandolini B.; Nitsch C.; Trombetti C., Shape optimization for Monge-Ampère equations via domain derivative, Discret. Contin. Dyn. S. 4 (2011), no.4 825-831.
Bertsch M.; Nitsch C. Groundwater flow in a fissurised porous stratum, Netw. Heterog. Media 5 (2010), no.4 765-782.
Brandolini B.; Nitsch C.; Trombetti C., An upper bound for nonlinear eigenvalues on convex domains by means of the isoperimetric deficit, Arc. Math. 94 (2010), no.4 391-400.
Clarelli, F.; Natalini R.; Nitsch C.; Santarelli M.L., A mathematical models for consolidation of building stones. Applied and industrial mathematics in Italy III, Ser. Adv. Math. Appl. Sci., 82, World Sci. Publ., Hackensack, NJ, (2010), 232-243,
Alvino A.; Ferone V.; Nitsch C., A sharp isoperimetric inequality in the plane involving Hausdorff distance, Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl. 20 (2009), no. 4, 397-412.
Brandolini B.; Nitsch C.; Trombetti C., New isoperimetric estimates for solutions to Monge-Ampère equations, Annales de l'IHP-ANL 26 (2009), no.4 1265-1275.
Brandolini B.; Nitsch C.; Salani P.; Trombetti C., Stability of radial symmetry for a Monge-Ampère overdetermined problem, Ann. Mat. Pura e Appl. (4)188 (2009), no.3, 445--453.
Brandolini B; Nitsch C.; Salani P.; Trombetti C., A note on the Serrin problem in the plane, Matematiche (Catania) 63 (2008), no. 2, 83-92 (2009).
Bertsch M.; Nitsch C., Travelling waves solutions of a nonlinear degenerate parabolic system from petroleoum engineering, Interfaces Free Bound. 10 (2008), no.3 377-398.
Nitsch C. The quantitative isoperimetric inequality for planar convex domains, Boll. Unione Mat. Ital. (Atti del XVIII Congresso UMI, Bari 24-29 settembre 2007) 9 (2008), no.1 573-589.
Brandolini B.; Nitsch C.; Salani P.; Trombetti C., Serrin type overdetermined problems: An alternative proof, Arch. Ration. Mech. Anal. 190 (2008), no.2 267-280.
Brandolini B.; Nitsch C.; Salani P.; Trombetti C., On the stability of the Serrin problem, J. Diff. Equations 245 (2008), no.6, 1566-15833.
Nitsch C., A free boundary problem for nonlocal damage propagation in diatomites, Free Boundary Problems Theory and Applications Series: International Series of Numerical Mathematics , Vol. 154; Figueiredo, Isabel Narra; Rodrigues, José Francisco; Santos, Lisa (Editors), 2007, 338-349.
Brandolini B.; Cicalese M.; Nitsch C.; Trombetti C., A sharp estimate of the extinction time for the mean curvature flow, Appl. Math. Lett. 20 (2007), no. 5, 551-557.
Barenblatt G.I.; Bertsch M.; Nitsch C., Nonlocal damage accumulation and fluid flow in diatomites, Comm. in App. Math. and Comp. Sci. 1 (2006), no. 1, 143-168.
Brandolini B.; Cicalese M.; Nitsch C.; Trombetti, C., Some Remarks on the extinction time for the mean curvature flow, Le Matematiche LX (2005) Fasc. II, 411-417.
Bertsch M.; Dal Passo R.; Nitsch C., A system of degenerate parabolic nonlinear PDE's: a new free boundary problem, Interfaces Free Bound. 7 (2005), no. 3, 255-276.
Nitsch C., A nonlinear parabolic system arising in damage mechanics under chemical aggression, Nonlinear Anal. 61 (2005), no. 5, 695-713.
Natalini R.; Nitsch C.; Pontrelli G.; Sbaraglia S., A numerical study of a nonlocal model of damage propagation under chemical aggression, European J. Appl. Math. 14 (2003), no. 4, 447-464.
Alvino, A.; Nitsch C.; Trombetti C., A Talenti comparison result for solutions to elliptic problems with Robin boundary conditions, (preprint arXiv 1909.11950)
van den Berg, M.; Ferone V.; Nitsch C.; C. Trombetti, On a Pólya functional for rhombi, isosceles triangles, and thinning convex sets, (preprint arXiv 1811.04503)
Floridia, G.; Nitsch C.; Trombetti C., Multiplicative controllability for nonlinear degenerate parabolic equations between sign-changing states, (preprint arXiv 1710.00690)
Published