Sezioni

Publications

18. Alves, C.O., Gandal, S., Loiudice, A. & Tyagi, J.: A Brézis–Nirenberg Type Problem for a Class of Degenerate Elliptic Problems Involving the Grushin Operator. J Geom Anal 34, 52 (2024). https://doi.org/10.1007/s12220-023-01507-3

17. Nicola Garofalo, Annunziata Loiudice, Dimiter Vassilev, Optimal decay for solutions of nonlocal semilinear equations with critical exponent in homogeneous group, arXiv:2210.16893, Proceedings of the Royal Society of Edinburgh Section A, 2024.

16.Loiudice, Annunziata, Critical problems with Hardy potential on Stratified Lie groups, Adv. Differential Equations 28 (1-2), 2023, 1-33. PDF

15.Loiudice, Annunziata, Existence Results for Critical Problems Involving p-Sub-Laplacians on Carnot Groups. In: Ruzhansky, M., Wirth, J. (eds) Harmonic Analysis and Partial Differential Equations. Trends in Mathematics. 2022 Birkhäuser, Cham. https://doi.org/10.1007/978-3-031-24311-0_8 PDF

14. Loiudice, Annunziata A multiplicity result for a nonhomogeneous subelliptic problem with Sobolev exponent, Advances in Harmonic Analysis and Partial Differential Equations, Trends in Math. 2020, 99-120.

13. Loiudice, Annunziata Asymptotic estimates and non-existence results for critical problems with Hardy term involving Grushin-type operators, Ann. Mat. Pura Appl. (4) 198 (2019), no. 6, 1909–1930. Download PDF

12. Loiudice, Annunziata Optimal decay of p-Sobolev extremals on Carnot groups, J. Math. Anal. Appl.470 (2019), no. 1, 619–631. PDF

11. Loiudice, Annunziata Local behavior of solutions to subelliptic problems with Hardy potential on Carnot groups. Mediterr. J. Math. 15 (2018), no. 3, Art. 81, 20 pp. Download PDF

10. Loiudice, Annunziata Critical growth problems with singular nonlinearities on Carnot groups. Nonlinear Anal. 126 (2015), 415–436.

9. Jannelli, Enrico; Loiudice, Annunziata Critical polyharmonic problems with singular nonlinearities. Nonlinear Anal. 110 (2014), 77–96.

8. Loiudice, Annunziata Lp-weak regularity and asymptotic behavior of solutions for critical equations with singular potentials on Carnot groups. NoDEA Nonlinear Differential Equations Appl. 17 (2010), no. 5, 575–589.

7. Loiudice, Annunziata Asymptotic behaviour of solutions for a class of degenerate elliptic critical problems. Nonlinear Anal. 70 (2009), no. 8, 2986–2991.

6. Loiudice, Annunziata Semilinear subelliptic equations on rational Carnot groups. Subelliptic PDE's and applications to geometry and finance, 163–170, Lect. Notes Semin. Interdiscip. Mat., 6, Semin. Interdiscip. Mat. (S.I.M.), Potenza, 2007.

5. Loiudice, Annunziata Semilinear subelliptic problems with critical growth on Carnot groups. Manuscripta Math. 124 (2007), no. 2, 247–259 .Download PDF

4. Loiudice, Annunziata Existence of infinitely many solutions for a class of semilinear subelliptic equations on rational Carnot groups. Adv. Nonlinear Stud. 7 (2007), no. 2, 163–185. Download PDF

3.. Loiudice, Annunziata Sobolev inequalities with remainder terms for sublaplacians and other subelliptic operators. NoDEA Nonlinear Differential Equations Appl. 13 (2006), no. 1, 119–136.

2.. Loiudice, Annunziata Improved Sobolev inequalities on the Heisenberg group. Nonlinear Anal. 62 (2005), no. 5, 953–962.

1. Loiudice, Annunziata, Problemi non lineari critici per alcune classi di operatori subellittici, PhD Thesis, 2004. PDF

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