List of publications
54. G. Ciraolo, M. Cozzi, M. Perugini, L. Pollastro. A quantitative version of the Gidas-Ni-Nirenberg Theorem. Preprint (arXiv:2308.00409)
53. C. A. Antonini, A. Cianchi, G. Ciraolo, A. Farina, V. Maz'ya. Global second-order estimates in anisotropic elliptic problems. Preprint (arXiv:2307.03052)
52. G. Ciraolo, X. Li. Classification of solutions to the anisotropic N-Liouville equation in R^N. Preprint (arXiv:2306.12039)
51. G. Ciraolo, F. Pacella, C.C. Polvara. Symmetry breaking and instability for semilinear elliptic equations in spherical sectors and cones. To appear in J. Math. Pures Appl. (arXiv:2305.10176)
50. G. Ciraolo, R. Corso, A. Roncoroni. Non-existence of patterns for a class of weighted degenerate operators. J. Differential Equations 370 (2023), 240-270 (arXiv:2301.09391)
49. G. Ciraolo, L.Pollastro. Quantitative results for fractional overdetermined problems in exterior and annular sets. J. Math. Anal. Appl. 524 (2023), 127070 (arXiv:2209.14679)
48. G. Ciraolo, S. Dipierro, G. Poggesi, L. Pollastro, E. Valdinoci. Symmetry and quantitative stability for the parallel surface fractional torsion problem. Trans. Amer. Math. Soc. 376 (2023), 3515-3540 (arXiv:2110.03286)
47. G. Ciraolo, X. Li. An exterior overdetermined problem for Finsler $N$-laplacian in convex cones. Calc. Var. 61, 121 (2022). (arXiv:2111.09796)
46. C. A. Antonini, G. Ciraolo, A. Farina. Interior regularity results for inhomogeneous anisotropic quasilinear equations. Math. Ann. 387, 1745-1776 (2023). (arXiv:2112.09087)
45. G. Ciraolo, R. Corso. Symmetry for positive critical points of Caffarelli-Kohn-Nirenberg inequalities. Nonlinear Anal., 216 (2022), 112683. (arXiv:2105.13691)
44. G. Ciraolo, A. Greco. An overdetermined problem associated to the Finsler Laplacian. Commun. Pure Appl. Anal., 2021, 20(3): 1025-1038. (arXiv:2010.03042)
43. G. Ciraolo, R. Corso, A. Roncoroni. Classification and non-existence results for weak solutions to quasilinear elliptic equations with Neumann or Robin boundary conditions. J. Funct. Anal., 280 (2021), 108787. (arXiv:2003.11759)
42. G. Ciraolo. Quantitative estimates for almost constant mean curvature hypersurfaces. Boll. Unione Mat. Ital., 14 (2021), 137-150. (arXiv:2003.11763)
41. G. Ciraolo, A. Roncoroni, L. Vezzoni. Quantitative stability for hypersurfaces with almost constant curvature in space forms. Ann. Mat. Pura Appl. 200 (2021), 2043–2083.(arXiv:1812.00775)
40. G. Ciraolo, A. Figalli, A. Roncoroni. Symmetry results for critical anisotropic p-Laplacian equations in convex cones. Geom. Funct. Anal., 30 (2020), 770-803. (arXiv:1906.00622)
39. G. Ciraolo, L. Vezzoni. Quantitative stability for hypersurfaces with almost constant mean curvature in the hyperbolic space. Indiana Univ. Math. J., 69 (2020), 1105-1153. (arXiv:1611.02095)
38. G. Ciraolo, A. Roncoroni. Serrin's type overdetermined problems in convex cones. Calc. Var. Partial Differential Equations (2020) 59: 28. (arXiv:1806.08553)
37. G. Ciraolo, A. Sciammetta. Stress concentration for closely located inclusions in nonlinear perfect conductivity problems. J. Differential Equations, 266 (2019), 6149-6178. (arXiv:1809.08930)
36. G. Ciraolo, A. Sciammetta. Gradient estimates for the perfect conductivity problem in anisotropic media. J. Math. Pures Appl., 127 (2019), 268-298 . (arXiv:1803.04148)
35. G. Ciraolo, L. Vezzoni. On Serrin's overdetermined problem in space forms. Manuscripta Math., 159 (2019), 445-452. (arXiv:1702.05277)
34. G. Ciraolo, A. Roncoroni. The method of moving planes: a quantitative approach. Bruno Pini Math. Anal. Semin. , Volume 2018, 41-77.(arXiv:1811.05202)
33. C. Bianchini, G. Ciraolo, P. Salani. Some overdetermined problems related to the anisotropic capacity. J. Math. Anal. Appl., 465 (2018), 211-219. (arXiv:1803.04911)
32. C. Bianchini, G. Ciraolo. Wulff shape characterizations in overdetermined anisotropic elliptic problems. Comm. Partial Differential Equations, Vol. 43 (2018), 790-820. (arXiv:1703.07111)
31. G. Ciraolo, A. Figalli, F. Maggi, M. Novaga. Rigidity and sharp stability estimates for hypersurfaces with constant and almost-constant nonlocal mean curvature. J. Reine Angew. Math. (Crelle's Journal), Volume 2018, Issue 741, Pages 275–294. (arXiv:1503.00653)
30. G. Ciraolo, L. Vezzoni. A sharp quantitative version of Alexandrov's theorem via the method of moving planes. J. Eur. Math. Soc. (JEMS)., 20 (2018), 261-299. (arXiv:1501.07845)
29. G. Ciraolo, A. Figalli, F. Maggi. A Quantitative Analysis of Metrics on Rn with Almost Constant Positive Scalar Curvature, with Applications to Fast Diffusion Flows. Int. Math. Res. Not. IMRN, Vol. 2018, issue 21, 6780-6797. .(arXiv:1602.01916)
28. G. Ciraolo, F. Maggi. On the shape of compact hypersurfaces with almost constant mean curvature. Comm. Pure Appl. Math., 70 (2017), 665-716. (arXiv:1503.06674)
27. G. Ciraolo, L. Vezzoni. A rigidity problem on the round sphere. Commun. Cont. Math., 19 (2017), 1750001. (arXiv:1512.07749)
26. C. Bianchini, G. Ciraolo, P. Salani. An overdetermined problem for the anisotropic capacity. Calc. Var. Partial Differential Equations, 55:84 (2016). (arXiv:1509.07640)
25. C. Bianchini, G. Ciraolo. A note on an overdetermined problem for the capacitary potential. ``Geometric Properties for Parabolic and Elliptic PDE's'', Vol. 176 (2016) of the series Springer Proc. Math. Stat., 41-48. (arXiv:1601.02538)
24. G. Ciraolo, L. Vezzoni. A remark on an overdetermined problem in Riemannian Geometry. ``Geometric Properties for Parabolic and Elliptic PDE's'', Vol. 176 (2016) of the series Springer Proc. Math. Stat., 87-96. (arXiv:1512.07752)
23. G. Ciraolo, R. Magnanini, V. Vespri. Symmetry and linear stability in Serrin's overdetermined problem via the stability of the parallel surface problem. Preprint. (arXiv:1410.7791)
22. G. Ciraolo, R. Magnanini, V. Vespri. Holder stability for Serrin's overdetermined problem. Ann. Mat. Pura Appl., 195 (2016), 1333-1345. (arXiv:1410.7791)
21. G. Ciraolo, R. Magnanini, S. Sakaguchi. Solutions of elliptic equations with a level surface parallel to the boundary: stability of the radial configuration. J. Analyse Math., 128 (2016), 337-353. (arXiv:1307.1257)
20. G. Ciraolo. Helmholtz equation in unbounded domains: some convergence results for a constrained optimization problem. Contemp. Math., 660 (2016), 139-148. (arXiv:1307.1260)
19. G. Ciraolo, F. Gargano, V. Sciacca. A spectral approach to a constrained optimization problem for the Helmholtz equation in unbounded domains. Comput. Appl. Math., 34 (2015), 1035-1055. (arXiv:1401.5673)
18. G. Ciraolo, R. Magnanini, S. Sakaguchi. Symmetry of minimizers with a level surface parallel to the boundary. J. Eur. Math. Soc. (JEMS), 17 (2015), 2789-2804. (arXiv:1203.5295)
17. G. Ciraolo, R. Magnanini. A note on Serrin's overdetermined problem. Kodai Math. J., 37 (2014), 728-736. (arXiv:1401.4385)
16. H. Ammari, G. Ciraolo, H. Kang, H. Lee, G. Milton. Spectral theory of a Neumann-Poincaré-type operator and analysis of anomalous localized resonance II. Contemp. Math., 615 (2014), 1-14. (arXiv:1212.5066)
15. G. Ciraolo. A weak comparison principle for solutions of very degenerate elliptic equations. Ann. Mat. Pura Appl., 193 (2014), 1485-1490. (arXiv:1209.4431)
14. G. Ciraolo, F. Gargano, V. Sciacca. A computational method for the Helmholtz equation in unbounded domains based on the minimization of an integral functional. J. Comp. Phys., 246 (2013), 78-95. (arXiv:1211.4168)
13. H. Ammari, G. Ciraolo, H. Kang, H. Lee, G. Milton. Anomalous localized resonance using a folded geometry in three dimensions. Proc. R. Soc. A, 469 (2013), 20130048. (arxiv:1301.5712)
12. H. Ammari, G. Ciraolo, H. Kang, H. Lee, G. Milton. Spectral theory of a Neumann-Poincaré-type operator and analysis of cloaking due to anomalous localized resonance. Arch. Ration. Mech. Anal., 208 (2013), no. 2, 667-692. (arXiv:1109.0479)
11. H. Ammari, G. Ciraolo, H. Kang, H. Lee, K. Yun. Spectral analysis of the Neumann-Poincaré operator and characterization of the stress concentration in anti-plane elasticity. Arch. Ration. Mech. Anal., 208 (2013), no. 1, 275-304. (arXiv:1206.2074)
10. G. Ciraolo. A viscosity equation for minimizers of a class of very degenerate elliptic functionals. Geometric Properties for Parabolic and Elliptic PDE's, Springer INdAM Series, Vol. 2 (2013), pp 67-83. (arXiv:1206.3426)
9. G. Ciraolo. A radiation condition for the 2-D Helmholtz equation in stratified media. Comm. Partial Differential Equations, 34 (2009), no.12, pp. 1592-1606. (arXiv:0909.1662)
8. O. Alexandrov, G. Ciraolo. Wave propagation in a 3-D optical waveguide II. Numerical results . More Progresses in Analysis, Proceedings of the 5th International ISAAC Congress, World Scientific (2009), 627-636.
7. G. Ciraolo, R. Magnanini. A radiation condition for uniqueness in a wave propagation problem for 2-D open waveguides. Math. Methods Appl. Sci., 32 (2009), no.10, pp. 1183-1206. (arXiv:0710.1950)
6. G. Ciraolo. A method of variation of boundaries for waveguide grating couplers. Appl. Anal., 87 (2008), no.9, 1019-1040 (pdf).
5. G. Ciraolo, R. Magnanini. Analytical results for 2-D non-rectilinear waveguides based on the Green's function. Math. Methods Appl. Sci., 31 (2008), no.13, pp. 1587-1606. (arXiv:0704.3847)
4. G. Ciraolo. Non-rectilinear waveguides: analytical and numerical results based on the Green's function. Ph.D. Thesis (2006).
3. G. Ciraolo. Wave propagation in non rectilinear waveguides. Le Matematiche, Fascicolo II, Vol LX (2005), 445-450.
2. J. An, V. Averina, G. Ciraolo, W. Geremew, T. Grandine, D. Hansen, G. Luo, T. Moeller. Surface Registration via Umbilics. IMA report (2004).
1. O. Alexandrov, G. Ciraolo. Wave propagation in a 3-D optical waveguide. Math. Models Methods Appl. Sci. (M3AS), 14 (2004), no.6, 819-852.(arXiv:0304227)