Publications

1. V. Amato, A. L. Masiello, C. Nitsch, C. Trombetti On the second eigenvalue of the infinity Laplacian with Robin boundary conditions, ACV (2025), appeared online, https://doi.org/10.1515/acv-2024-0114

2. P.Acampora, E. Cristoforoni, C. Nitsch, C. Trombetti A spectral isoperimetric inequality on the n-sphere for the Robin-Laplacian with negative boundary parameter, The Journal of Geometric Analysis 35 (2025), https://doi.org/10.1007/s12220-025-02007-2

3. A. Celentano, C. Nitsch, C. Trombetti A Talenti comparison result for a class of Neumann boundary value problems, Nonlinear Analysis (2025) appeared online, https://doi.org/10.1016/j.na.2025.113864

4. P. Acampora, E. Cristoforoni, C. Nitsch, C. Trombetti On the optimal shape of a thin insulating layer, Siam
   J. Math. Anal 56 n.3 (2024), 3509–3536 https://doi.org/10.1137/23M1572544

5. A. Celentano, C. Nitsch, C. Trombetti On a Serrin-type overdetermined problem, Milan J. 92 (2024)  579--590, https://doi.org/10.1007/s00032-024-00405-9

6. V. Amato, A. Gentile, C. Nitsch, C. Trombetti On the gradient rearrangement of functions, Mathematische Annalen 390 (2024), 4265-4281 https://doi.org/10.1007/s00208-024-02847-3

7. A. Alvino, C. Nitsch, C. Trombetti, A Talenti comparison result for solutions to elliptic problems with Robin boundary conditions, Communications on Pure and Applied Math 76 (2023), 585–603 https://doi.org/10.1002/cpa.22090

8. A. Alvino, F. Chiacchio, C. Nitsch, C.Trombetti Weighted symmetrization results for a problem with vari- able Robin parameter Annali di Matematica Pura e Applicata (2023),  https://doi.org/10.1007/s10231-023-01313-2

9. P. Acampora, E. Cristoforoni, C. Nitsch, C. Trombetti A free boundary problem in thermal insulation with a prescribed heat source ESAIM: Control, Optimisation and Calculus of Variations 29 (2023), https://doi.org/10.1051/cocv/2022081

10. D. Bucur, M. Nahon, C. Nitsch, C. Trombetti, Shape optimization of a thermal insulation problem, Calculus of Variations and Partial Differential Equations 61 (2022), https://doi.org/10.1007/s00526-022-02298-1

11. V. Amato, A.L. Masiello, C. Nitsch, C. Trombetti, On the solutions to p-Poisson equation with Robin boundary conditions when p goes to +∞, Advances in Nonlinear Analysis 11 (2022) , 1631–1649, https://doi.org/10.1515/anona-2022-0258

12. F. Della Pietra, C.Nitsch, F. Oliva, C. Trombetti, 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
    (2022) https://doi.org/10.1515/acv-2021-0085

13. F. Chiacchio, N. Gavitone, C. Nitsch, C. Trombetti, Sharp estimates for the Gaussian torsional rigidity with Robin boundary conditions, Potential Analysis (2022), https://doi.org/10.1007/s11118-022-09995-8

14. F.DellaPietra,C.Nitsch,R.Scala,C.Trombetti,AnoptimizationprobleminthermalinsulationwithRobin boundary conditions, Communications in Partial Differential Equations 46 (2021), no. 12, 2288–2304, https://doi.org/10.1080/03605302.2021.1931885

15. A. Alvino, F. Chiacchio, C. Nitsch, C. Trombetti, Sharp estimates for solutions to elliptic problems with mixed boundary conditions Journal de Mathématiques Pures et Appliquées 152 (2021), 251-261 https://doi.org/10.1016/j.matpur.2020.12.003

16. D. Bucur, V. Ferone, C. Nitsch, C. Trombetti, Weinstock inequality in higher dimensions, , Journal of Differential Geometry 118 (2021), 1-21

17. F. Della Pietra, C. Nitsch, C. Trombetti, An optimal insulation problem, Mathematische Annalen 382 (2022), 745–759 https://doi.org/10.1007/s00208-020-02058-6

18. M. van den Berg, V. Ferone, C. Nitsch, C. Trombetti, On a Polya functional for rhombi, isosceles triangles, and thinning convex sets, Revista Iberoamericana 36 (2020), no. 7, 2091–2105.

19. G. Floridia, C. Nitsch, C. Trombetti, Multiplicative controllability for nonlinear degenerate parabolic equa- tions between sign-changing states ESAIM: Control, Optimisation and Calculus of Variations 26 (2020),  https://doi.org/10.1051/cocv/2019066

20. D. Bucur, V. Ferone, C. Nitsch, C. Trombetti, 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, 20 (2019), 665-676.

21. C. Nitsch, C. Trombetti, The Classical Overdetermined Serrin Problem, Complex Variables and Elliptic Equations, 63 (2018), 1107-1122. 

22. A. Henrot, C. Nitsch, P. Salani, C. Trombetti, Optimal Concavity of the Torsion Function, Journal of Optimization Theory and Applications, 178 (2018), 26-35. 

23. D. Bucur, V. Ferone, C. Nitsch, C. Trombetti, The quantitative Faber-Krahn inequality for the Robin Lapla- cian, Journal of Differential Equations, 264, n.7 (2018), 4488-4503. 

24. A. Cianchi, V. Ferone, C. Nitsch, C. Trombetti, Poincaré Trace Inequalities in BV(Bn) with Non-standard Normalization Journal of Geometric Analysis, 28 (2018). 3522–3552, https://doi.org/10.1007/s12220-017-9968-z

25. C. Nitsch, C. Trombetti, The classical overdetermined Serrin Problem, Complex Variables and Elliptic Equations, 63 n. 7-8 (2018),1107-1122, Special issue dedicated to 130th anniversary of Vladimir I. Smirnov.

26. A. Cianchi, V. Ferone, C. Nitsch, C. Trombetti, Balls minimize trace constants in BV, Journal für die Reine und Angewandte Mathematik (Crelle’s Journal), 725 (2017), 41-61.

27. V. Ferone, C. Nitsch, C. Trombetti, On the maximal mean curvature of a smooth surface, CRAS 354 (2016), 891-895.

28. B. Brandolini, F. Chiacchio, D. Krejcirik, C. Trombetti, The equality case in a Poincaré Wirtinger type inequality, Rend. Lincei Mat. Appl. 27 (2016), 443-464.

29. M. van den Berg, V. Ferone, C. Nitsch, C. Trombetti, On Polya’s inequality for torsional rigidity and first Dirichlet eigenvalue, Integral equations and Operator Theory 86 (2016), 579-600.

30. L. Brasco, C. Nitsch, C. Trombetti, An inequality à la Szegö-Weinberger for the p−Laplacian on convex sets, Communications in Contemporary Math. 18 (2016), 155-173.

31. B. Brandolini, F. Chiacchio, A. Henrot, C. Trombetti, Existence of minimizers for eigenvalues of the Dirichlet-Laplacian with a drift , Journal of Differential Equations 259 (2015), 707-727.

32. B. Brandolini, F. Della Pietra, C. Nitsch, C. Trombetti, Symmetry breaking in a constrained Cheeger type isoperimetric inequality, ESAIM: Control, Optimisation and Calculus of Variations 21 (2015), 359-371.

33. L. Esposito, B. Kawohl, C. Nitsch, C. Trombetti, The Neumann eigenvalue problem for the ∞-Laplacian, Rend. Lincei Mat. Appl. 26 (2015), 119-134.

34. B. Brandolini, F. Chiacchio, C. Trombetti, Optimal lower bounds for eigenvalues of linear and nonlinear Neumann problems, Proceedings of the Royal Society of Edinburgh Sect. A. 145 (2015), 31-45.

35. V. Ferone, C. Nitsch, C. Trombetti, On a conjectured reverse Faber-Krahn inequality for a Steklov-type Laplacian eigenvalue, Communications on Pure and Applied Analysis 1 (2015), 63-81.

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

37. B. Brandolini, N. Gavitone, C. Nitsch, C. Trombetti, Characterization of ellipsoids through an overdeter- mined boundary value problem of Monge-Ampère type, Journal de Mathématiques Pures et Appliquées 101 (2014), 828-841.

38. B. Brandolini, F. Chiacchio, F. C. Cirstea, C. Trombetti, Local behaviour of singular solutions for nonlinear elliptic equations in divergence form, Calculus of Variations and Partial Differential Equations 48 (2013), 367-393.

39. B. Brandolini, F. Chiacchio, A. Henrot, C. Trombetti, An optimal Poincaré - Wirtinger inequality in Gauss space, Mathematics Research Letters 20 (2013), 449-457.

40. B. Brandolini, F. Chiacchio, C. Trombetti, A sharp lower bound for some Neumann eigenvalues of the Hermite operator, Differential and Integral Equations 26 (2013), 639-654.

41. L. Esposito, C. Nitsch, C. Trombetti, Best constants in Poincaré inequalities for convex domains, Journal of Convex Analysis 20 (2013), 253-264.

42. A. Mercaldo, J. D. Rossi, S. Segura de Leon, C. Trombetti, Behaviour of p- Laplacian problems with Neumann boundary conditions when p goes to 1, Communications on Pure and Applied Analysis 12 (2013), 253-267.

43. L. Esposito, V. Ferone, B. Kawohl, C. Nitsch, C. Trombetti, The longest shortest fence and sharp Poincaré- Sobolev inequalities, Archive for Rational Mechanics and Analysis 206 (2012), 821-851.

44. V. Ferone, C. Nitsch, C. Trombetti, A remark on optimal weighted Poincaré inequalities for convex domains, Rendiconti Lincei Matematica e Applicazioni 23 (2012), 467-475.

45. A. Mercaldo, J.D. Rossi, S. Segura de Leon, C. Trombetti, 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 (2012), 53-74.

46. B. Brandolini, P. Freitas, C. Nitsch, C. Trombetti, Sharp estimates and saturation phenomena for a nonlocal eigenvalue problem, Advances in Mathematics 228 (2011), 2352-2365.

47. B. Brandolini, C. Nitsch, C. Trombetti, Shape optimization for Monge-Ampère equations via domain deriva- tive, Discrete and Continuous Dynamical Systems Ser. S 4 (2011), 825-831.

48. B. Brandolini, C. Nitsch, C. Trombetti, An upper bound for nonlinear eigenvalues on convex domains by means of the isoperimetric deficit, Archiv der Mathematik 94 (2010), 391-400.

49. A. Mercaldo, J. D. Rossi, S. Segura de Leon, C. Trombetti, Anisotropic p − q Laplacian equations when p goes to 1, Nonlinear Analysis : T.M.A. 73 (2010), 3546-3560.

50. B. Brandolini, F. Chiacchio, C. Trombetti, Sharp estimates for eigenfunctions of a Neumann problem, Communications in Partial Differential Equations 34 (2009), 1317-1337.

51. B. Brandolini, C. Nitsch, C. Trombetti, New isoperimetric estimates for solutions to Monge-Ampère equa- tions, Annales de l’Institut Henri Poincaré Analyse Non-Linéaire 26 (2009), 1265-1275.

52. B. Brandolini, C. Nitsch, P. Salani, C. Trombetti, Stability of radial symmetry for a Monge - Ampère overdetermined problem, Annali di Matematica Pura e Applicata 188 (2009), 445-453.

53. B. Brandolini, C. Nitsch. P. Salani, C. Trombetti, A note on the Serrin problem in the plane, Matematiche (Catania) 63 (2008), 83-92.

54. A. Mercaldo, S. Segura de Leon, C. Trombetti, On the solutions to 1-Laplacian equation with L1 data, Journal of Functional Analysis 256 (2009), 2387-2416.

55. B. Brandolini, C. Nitsch, P. Salani, C. Trombetti, Serrin type overdetermined problems: An alternative proof, Archive for Rational Mechanics and Analysis 190 (2008), 267-280.

56. B. Brandolini, C. Nitsch, P. Salani, C. Trombetti, On the stability of the Serrin problem, Journal of Differential Equations 245 (2008), 1566-1583.

57. A. Cianchi, L. Esposito, N. Fusco, C. Trombetti, A quantitative Pólya Szegö Principle, Journal Für Die Reine Und Angewandte Mathematik (Crelle Journal) 614 (2008), 153-189.

58. F. C. Cirstea, C. Trombetti, On the Monge-Ampère equation with boundary blow-up: existence, uniqueness and asymptotics, Calculus of Variations and Partial Differential Equations 31 (2008), 167-186.

59. L. Greco, C. Sbordone, C. Trombetti, A note on planar homeomorphisms, Rendiconti dell’Accademia delle Scienze Fisiche e Matematiche 75 (2008), 53-59.

60. A. Mercaldo, S. Segura de Leon, C. Trombetti, On the behaviour of the solutions to p-Laplacian equations as p goes to 1, Publicacions Matemàtiques 52 (2008), 377-411.

61. A. L. Amadori, B. Brandolini, C. Trombetti, Viscosity solutions of the Monge-Ampère equation with the right hand side in Lp, Atti della Accademia Nazionale dei Lincei. Rendiconti Lincei Matematica e Applicazioni 18 (2007), 221-233.

62. B. Brandolini, M. Cicalese, C. Nitsch, C. Trombetti, A sharp estimate of the extinction time for the mean curvature flow, Applied Mathematics Letters 20 (2007), 551-557.

63. B. Brandolini, F. Chiacchio, C. Trombetti, Hardy type inequalities and Gaussian measure, Communica- tions on Pure and Applied Analysis 6 (2007), 411-428.

64. B. Brandolini, F. Chiacchio, C. Trombetti, Some remarks on nonlinear elliptic problems involving Hardy potentials, Houston Journal of Mathematics 33 (2007), 617-630.

65. B. Brandolini, C. Trombetti, Comparison results for Hessian equations via symmetrization, Journal of the European Mathematical Society 9 (2007), 561-575.

66. B. Brandolini, C. Trombetti, A symmetrization result for Monge - Ampère type equations, Mathematische Nachrichten 280 (2007), 467-478.

67. L. Esposito, C. Trombetti, Steiner symmetrization: a weighted version of Pólya-Szegö principle, Nodea- Nonlinear Differential Equations and Applications 14 (2007), 219-231.

68. L. Greco, C. Sbordone, C. Trombetti, A note on W1,1 planar homeomorphisms, Società Nazionale di Scienze, Lettere e Arti in Napoli. Rend. Acc. Sc. Fis. Mat. Napoli vol. LXXIII (2006), 419-421.

69. L. Esposito, G. Mingione, C. Trombetti, On the Lipschitz regularity for certain elliptic problems, Forum Mathematicum 18 (2006), 263-292.

70. L. Esposito, N. Fusco, C. Trombetti, A quantitative version of the isoperimetric inequality: the anisotropic case, Annali della Scuola Normale Superiore di Pisa, Classe di Scienze 4 (2005), 619-651.

71. L. Esposito, C. Trombetti, Convex symmetrization and Pólya Szegö inequality, Nonlinear Analysis : T.A.M. 56 (2004), 43-62.

72. M. Cicalese, C. Trombetti, Asymptotic behaviour of solutions to p-Laplacian equation, Asymptotic Analysis 35 (2003), 27-40.

73. F. Murat, C. Trombetti, A chain rule formula for the composition of a vector-valued function by a piecewise smooth function, Bollettino della Unione Matematica Italiana 6 (2003), 581-595.

74. N. Grenon, C. Trombetti, Existence results for a class of nonlinear elliptic problems with p-growth in the gradient, Nonlinear Analysis : T.M.A. 52 (2003), 931-942.

75. C. Trombetti, Non-uniformly elliptic equations with natural growth in the gradient, Potential Analysis 18 (2003), 391-404.

76. L. Boccardo, S. Segura De Leon, C. Trombetti, Bounded and unbounded solutions for a class of quasi- linear elliptic problems with a quadratic gradient term, Journal de mathématiques pures et appliquées 80 (2001), 919-940.

77. N. Fusco, G. Mingione, C. Trombetti, Regularity of minimizers for a class of anisotropic free discontinuity problems, Journal of Convex Analysis 8 (2001), 349-367.

78. R. De Arcangelis, C. Trombetti, On the Lavrentieff phenomenon for some classes of Dirichlet minimum problems, Journal of Convex Analysis 7 (2000), 271-297.

79. R. De Arcangelis, C. Trombetti, On the relaxation of some classes of Dirichlet minimum problems, Com- munications in Partial Differential Equations 24 (1999), 975-1006.

80. C. Trombetti, Existence and regularity for a class of non-uniformly elliptic equations in two dimensions, Differential and Integral Equations 13 (2000), 687-706.

81. C. Trombetti, Rilassamento e fenomeno di Lavrentiev per alcune classi di funzionali integrali, Bollettino dell’Unione Matematica Italiana A III A (2000), 411-413.

82. C. Trombetti, Existence of minimizers for a class of anisotropic free discontinuity problems, Annali di Matematica Pura e Applicata 4 (1999), 277-292.

83. C. Trombetti, On the lower semicontinuity and relaxation properties of certain classes of variational integrals, Rendiconti dell’Accademia Nazionale delle Scienze detta dei XL parte I Memorie di Matematica e Applicazioni 21 (1997), 25-51.

Preprints

84. P.Acampora, E. Cristoforoni, C. Nitsch, C. Trombetti An improved version of a spectral inequality by Payne, (2025) https://arxiv.org/abs/2507.08631

Poceedings

85. B. Brandolini, M. Cicalese, C. Nitsch, C. Trombetti, Some Remarks on the extinction time for the mean curvature flow, Matematiche LX (2005) Fasc. II, 411-417.

86. B.Brandolini,C.Trombetti,Hessian equations and symmetrization, RicerchediMatematica 54(2005), 513- 519.

87. C. Trombetti, On a class of Monge-Ampère type equations with lower order terms, Bollettino dell’Unione Matematica Italiana A  8 (2005), 629-637.