Preprints
Preprints
Published
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 Matemtica e Applicazioni, 20, (2019) 665-676.
https://arxiv.org/abs/1810.06108
Nitsch C.; Trombetti C., The Classical Overdetermined Serrin Problem,
Complex Variables and Elliptic Equations, 63, (2018) 1107-1122.
https://arxiv.org/abs/1711.10787
Henrot A.;
Nitsch C.; Salani P.; Trombetti C., Optimal concavity of the torsion function,
Journal of Optimization Theory and Applications, 178, (2018) 26-35.
https://arxiv.org/abs/1701.05821
Bucur D.;
Ferone V.; Nitsch C.; Trombetti C., The quantitative Faber-Krahn inequality for the Robin
Laplacian,
Journal of Differential Equations,264, (2018) 4488-4503.
http://arxiv.org/abs/1611.06704
Cianchi A.; Ferone V.; Nitsch C.; Trombetti C.,
Poincaré trace inequalities in $BV(\mathbb{B}^n)$ with
nonstandard normalization,
Journal of geometric Analysis, https://doi.org/10.1007/s12220-017-9968-z.
http://arxiv.org/abs/1604.01524
Cianchi A.;
Ferone V.; Nitsch C.; Trombetti C.,
Balls minimize trace constants in BV, Journal Fur Die Reine Und
Angewandte Mathematik, 725, (2017) 41-61.
http://arxiv.org/abs/1301.5770
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, 86, (2016) 579-600.
http://arxiv.org/abs/1602.04618
Brandolini B.;
Chiacchio F.; Krejcirk D.; Trombetti C., The equality case in a
Poincaré-Wirtinger type
inequality, Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl., 27, (2016) 443-464.
http://arxiv.org/abs/1410.0676
Brasco L.;
Nitsch C.; Trombetti C., An inequality à la Szegö-Weinberger for the p-Laplacian on convex sets,
Comm. Contemporary Math., 18, (2016) 1550086 (23 pages).
http://arxiv.org/abs/1407.7422
Ferone V.;
Nitsch C.; Trombetti C.,
On the maximal mean curvature of a smooth surface.
CRAS, 354 (2016) 891-895.
http://arxiv.org/abs/1604.06042
Brandolini B.;
Chiacchio F.; Henrot A.; Trombetti C., Existence of minimizers for eigenvalues of the Dirichlet-Laplacian with a drift,
J. Differential Equations, 259 (2015) 707-727.
http://arxiv.org/abs/1406.6824
Brandolini B.;
Della Pietra F.; Nitsch C.; Trombetti C., Symmetry breaking in a constrained
Cheeger type isoperimetric inequality, ESAIM: Control, Optimisation and Calculus of Variations
21 (2015) 359-371.
http://arxiv.org/abs/1305.6271
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.
http://arxiv.org/abs/1405.3535
Brandolini B.; Chiacchio F.;
Trombetti C.,
Optimal lower bounds for eigenvalues of linear and nonlinear Neumann problems,
Proceedings of the Royal Society of Edinburgh Sect. A., 145 (2015) 31-45.
http://arxiv.org/abs/1302.1795
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, 1 (2015), 63-81.
http://arxiv.org/abs/1307.3788
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, 101 (2014), 828-841. http://arxiv.org/abs/1305.2312
Brandolini B.; Chiacchio F.; Trombetti C.,
Symmetrization for singular semilinear elliptic equations,
Annali di Matematica Pura e Applicata, 193 (2014), 389-404.
Brandolini B.; Cirstea F.C.; Chiacchio F.; Trombetti C.,
Local behaviour of singular solutions for nonlinear elliptic equations in divergence form
, Calc. Var. 48 (2013), 367-393.
Brandolini B.; Chiacchio F.; Henrot A.; Trombetti C.,
An optimal Poincaré - Wirtinger inequality in Gauss space,
Math. Research Letters 20 (2013), 449-457.
http://arxiv.org/abs/1209.6469
Brandolini B.; Chiacchio F.; Trombetti C.,
A sharp lower bound for some Neumann eigenvalues of the Hermite operator,
Differential and Integral Equations 26 (2013), 639-654.
http://arxiv.org/abs/1209.6275
Esposito L.; Nitsch C.; Trombetti C., Best constants in Poincaré inequalities for convex domains. J. Convex Anal. 20 (2013), 253-264. http://arxiv.org/abs/1110.2960
Mercaldo A.; Rossi J.D.; Segura de Leon S.; Trombetti C., Behaviour of p-Laplacian problems with Neumann boundary conditions when p goes to 1. Comm. Pure Appl. Anal. 12 (2013), 253-267.
Ferone V.; Nitsch C.; Trombetti C., A remark on optimal weighted Poincaré inequalities for convex domains, Rend. Lincei Mat. Appl. 23 (2012), 467-475. http://arxiv.org/abs/1207.0680
Esposito L.; Ferone V.; Kawohl B.; Nitsch C.; Trombetti C., The longest shortest fence and sharp Poincaré-Sobolev inequalities, Arch. Rational Mech. Anal. 206 (2012), 821-851. http://arxiv.org/abs/1011.6248
Mercaldo A.; Rossi J.D.; Segura de Leon S.; Trombetti C., 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 25 n. 1-2 (2012), 53-74.
Brandolini B.; Freitas P.; Nitsch C.; Trombetti C., Sharp estimates and saturation phenomena for a nonlocal eigenvalue problem. Adv. Math. 228 n. 4 (2011), 2352-2365.
Brandolini B.; Nitsch C.; Trombetti C., Shape optimization for Monge-Ampère equations via domain derivative. Discrete Cont. Dyn. Sistems. 4 (2011), 825-831.
Mercaldo A.; Rossi J. D.; Segura de Leon S.; Trombetti C., Anisotropic p-q Laplacian equations when p goes to 1. Nonlinear Anal. 73 (2010), 3546-3560.
Brandolini B.; Nitsch C.; Trombetti C., Un upper bound for nonlinear eigenvalues on convex domains by means of the isoperimetric
deficit. Arch. Math. 94 (2010), 391-400.
Brandolini B.; Chiacchio F.; Trombetti C., Sharp estimates for eigenfunctions of a Neumann problem. Comm. Partial Differential Equations. 34 (2009), 1317-1237.
Brandolini B.; Nitsch C.; Trombetti C.,
New isoperimetric estimates for the solutions to Monge--Ampère equations.
Annales de l'Institut Henri Poincaré / Analyse non lineaire. 256 (2009), 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. 188 (2009), 445-453.
Mercaldo A.; Segura de Leon S.; Trombetti C., On the solutions to 1-laplacian equation with L^1 data. Journal of Functional Anal. 256 (2009), no.2 2387-2416.
Brandolini B.; Nitsch C.; Salani P.; Trombetti C., A note on the Serrin problem in the plane. Le Matematiche LXII (2008), 83-92.
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. (doi:10.1007/s00205-008-0119-3)
Brandolini B.; Nitsch C.; Salani P.; Trombetti C., On the stability of the Serrin problem. J. Diff. Equations 245 (2008), no.6, 1566-15833. (doi:10.1016/j.jde.2008.06.010)
Mercaldo A.; Segura de Leon S.; Trombetti C., On the behaviour of the solutions to p-Laplacian equations as p goes to 1. Publ. Mat. 52 (2008), 377-411.
Cianchi A.; Esposito L.; Fusco N.; Trombetti C., A quantitative Polya Szego Principle J. reine angew. Math. 614 (2008), 153-189.
Cirstea F. C.; Trombetti C., On the Monge-Ampère equation with boundary blow-up: existence, uniqueness and asymptotics. Calculus of Variations PDE's. 31 (2008), 167-186.
Esposito L.; Trombetti C., Steiner symmetrization: a weighted version of Polya-Szego Principle. Nodea 14 (2007), 219-231.
Brandolini B.; Chiacchio F.; Trombetti C., Some results on nonlinear elliptic problems involving Hardy potentials. Houston Journal of Math. 33 (2007), 617-630.
Amadori A.; Brandolini, B.; Trombetti C., Viscosity solutions of the Monge-Ampère equation with the right hand side in $L\sp p$. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl. 18 (2007), 221-233.
Brandolini B.; Trombetti C., A symmetrization result for Monge-Ampère type equations. Math. Nachr. 280 (2007), no. 5-6, 467-478.
Brandolini B.; Trombetti C., Comparison results for Hessian equations via symmetrization. J. Eur. Math. Soc. (JEMS). 9 (2007), 561-575.
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.
Brandolini B.; Chiacchio F.;
Trombetti C., Hardy type inequalities and Gaussian measure. Commun. Pure Appl. Anal. 6 (2007), no. 2, 411-428.
Esposito L.; Mingione G.;
Trombetti C., On the Lipschitz regularity for certain elliptic problems. Forum Math. 18 (2006), no. 2, 263-292.
Greco L.; Sbordone C.; Trombetti C., A note on W_loc^{1,1} planar homeomorphisms. Rend. Accad. Sci.Fis. Mat. Napoli. 73 (2006), no. 4, 419-422.
Esposito L.; Fusco N.; Trombetti
C. A quantitative version of the isoperimetric inequaity: the anisotropic case. (English. English summary) Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 4 (2005), no. 4, 619-651.
Brandolini B.; Trombetti C., Hessian equations and symmetrization. Ricerche di Matematica. 54 (2005), 513-519.
Brandolini B.; Cicalese M.;
Nitsch C.; Trombetti C., Some remarks on the extinction time for the mean curvature flow. Le Matematiche. 60 (2005), 411-417.
Trombetti C. On a class of Monge-Ampère type equations with lower order terms. Boll. Unione Mat. Ital. Sez. B Artic. Ric. Mat. (8) 8 (2005), no. 3, 629-637.
Esposito L.; Trombetti C. Convex symmetrization and Pólya-Szegô inequality. Nonlinear Anal. 56 (2004), no. 1, 43-62.
Murat F.; Trombetti C. A chain rule formula for the composition of a vector-valued function by a piecewise smooth function. Boll. Unione Mat. Ital. Sez. B Artic. Ric. Mat. (8) 6 (2003), no. 3, 581-595.
Cicalese M.; Trombetti C. Asymptotic behaviour of solutions to $p$-Laplacian equation. Asymptot. Anal. 35 (2003), no. 1, 27-40.
Trombetti C. Non-uniformly elliptic equations with natural growth in the gradient. Potential Anal. 18 (2003), no. 4, 391-404.
Grenon N.; Trombetti C. Existence results for a class of nonlinear elliptic problems with $p$-growth in the gradient. Nonlinear Anal. 52 (2003), no. 3, 931-942.
Fusco N.; Mingione G.; Trombetti
C. Regularity of minimizers for a class of anisotropic free discontinuity problems. J. Convex Anal. 8 (2001), no. 2, 349-367.
Boccardo L.; Segura de León S.;
Trombetti C. Bounded and unbounded solutions for a class of quasi-linear elliptic problems with a quadratic gradient term. J. Math. Pures Appl. (9) 80 (2001), no. 9, 919-940.
De Silva D.; Trombetti, C. Some remarks on nonlinear elliptic equations and applications to Hamilton-Jacobi equations. C. R. Acad. Sci. Paris Sér. I Math. 333 (2001), no. 2, 91-96.
De Arcangelis R.; Trombetti C. On the Lavrentieff phenomenon for some classes of Dirichlet minimum points. J. Convex Anal. 7 (2000), no. 2, 271-297.
Trombetti C. Existence and regularity for a class of non-uniformly elliptic equations in two dimensions. Differential Integral Equations 13 (2000), no. 4-6, 687-706.
Trombetti C. Rilassamento e fenomeno di Lavrentiev per alcune classi di funzionali integrali. Boll. Unione Mat. Ital. Serie 8 III A.(2000), 411--413. 4-6, 687-706.
Trombetti C. Existence of minimizers for a class of anisotropic free discontinuity problems. Ann. Mat. Pura Appl. (4) 177 (1999), 277-292.
De Arcangelis R.;
Trombetti C. On the relaxation of some classes of Dirichlet minimum problems. Comm.
Partial Differential Equations 24 (1999), no. 5-6, 975-1006.
Trombetti C. On the lower semicontinuity and relaxation properties of certain classes of variational integrals. Rend. Accad. Naz. Sci. XL Mem. Mat. Appl. (5) 21 (1997), 25-51.
van den Berg M.; Ferone V.;
Nitsch C.; Trombetti C., On a Polya functional for rhombi, isosceles
triangles, and thinning convex sets, to appear on Revista Iberoamericana
https://arxiv.org/abs/1811.04503
Alvino A.;
Nitsch C.; Trombetti C., A Talenti comparison result for solutions to elliptic problems with Robin boundary conditions,
https://arxiv.org/abs/1909.11950
Bucur D.; Ferone V.;
Nitsch C.; Trombetti C., Weinstock inequality in higher dimensions, to appear in Journal of Differential Geometry
https://arxiv.org/abs/1710.04587
Floridia G.;
Nitsch C.; Trombetti C., Multiplicative controllability
for nonlinear degenerate parabolic equations between sign-changing states, to appear on COCV
https://arxiv.org/abs/1710.00690