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Publications
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Preprints

Published

  1. 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

  2. Nitsch C.; Trombetti C., The Classical Overdetermined Serrin Problem, Complex Variables and Elliptic Equations, 63, (2018) 1107-1122. https://arxiv.org/abs/1711.10787

  3. 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

  4. 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

  5. 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

  6. 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

  7. 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

  8. 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

  9. 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

  10. 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

  11. 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

  12. 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

  13. 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

  14. 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

  15. 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

  16. 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

  17. Brandolini B.; Chiacchio F.; Trombetti C., Symmetrization for singular semilinear elliptic equations, Annali di Matematica Pura e Applicata, 193 (2014), 389-404.

  18. 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.

  19. 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

  20. 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

  21. 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

  22. 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.

  23. 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

  24. 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

  25. 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.

  26. 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.

  27. Brandolini B.; Nitsch C.; Trombetti C., Shape optimization for Monge-Ampère equations via domain derivative. Discrete Cont. Dyn. Sistems. 4 (2011), 825-831.

  28. 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.

  29. 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.

  30. Brandolini B.; Chiacchio F.; Trombetti C., Sharp estimates for eigenfunctions of a Neumann problem. Comm. Partial Differential Equations. 34 (2009), 1317-1237.

  31. 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.

  32. 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.

  33. 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.

  34. Brandolini B.; Nitsch C.; Salani P.; Trombetti C., A note on the Serrin problem in the plane. Le Matematiche LXII (2008), 83-92.

  35. 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)

  36. 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)

  37. 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.

  38. Cianchi A.; Esposito L.; Fusco N.; Trombetti C., A quantitative Polya Szego Principle J. reine angew. Math. 614 (2008), 153-189.

  39. 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.

  40. Esposito L.; Trombetti C., Steiner symmetrization: a weighted version of Polya-Szego Principle. Nodea 14 (2007), 219-231.

  41. Brandolini B.; Chiacchio F.; Trombetti C., Some results on nonlinear elliptic problems involving Hardy potentials. Houston Journal of Math. 33 (2007), 617-630.

  42. 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.

  43. Brandolini B.; Trombetti C., A symmetrization result for Monge-Ampère type equations. Math. Nachr. 280 (2007), no. 5-6, 467-478.

  44. Brandolini B.; Trombetti C., Comparison results for Hessian equations via symmetrization. J. Eur. Math. Soc. (JEMS). 9 (2007), 561-575.

  45. 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.

  46. Brandolini B.; Chiacchio F.; Trombetti C., Hardy type inequalities and Gaussian measure. Commun. Pure Appl. Anal. 6 (2007), no. 2, 411-428.

  47. Esposito L.; Mingione G.; Trombetti C., On the Lipschitz regularity for certain elliptic problems. Forum Math. 18 (2006), no. 2, 263-292.

  48. 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.

  49. 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.

  50. Brandolini B.; Trombetti C., Hessian equations and symmetrization. Ricerche di Matematica. 54 (2005), 513-519.

  51. 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.

  52. 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.

  53. Esposito L.; Trombetti C. Convex symmetrization and Pólya-Szegô inequality. Nonlinear Anal. 56 (2004), no. 1, 43-62.

  54. 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.

  55. Cicalese M.; Trombetti C. Asymptotic behaviour of solutions to $p$-Laplacian equation. Asymptot. Anal. 35 (2003), no. 1, 27-40.

  56. Trombetti C. Non-uniformly elliptic equations with natural growth in the gradient. Potential Anal. 18 (2003), no. 4, 391-404.

  57. 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.

  58. 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.

  59. 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.

  60. 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.

  61. 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.

  62. 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.

  63. 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.

  64. Trombetti C. Existence of minimizers for a class of anisotropic free discontinuity problems. Ann. Mat. Pura Appl. (4) 177 (1999), 277-292.

  65. 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.

  66. 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.

  1. 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

  2. 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

  3. 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

  4. 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