Papers

1. V. Benci, P. d'Avenia, D. Fortunato, L. Pisani, Solitons in several space dimensions: Derrick's problem and infinitely many solutions, Arch. Ration. Mech. Anal. 154 (2000), n. 4, 297--324, doi: 10.1007/s002050000101.
2. P. d'Avenia, L. Pisani, Remarks on the topological invariants of a class of solitary waves, Nonlinear Anal. 46 (2001), no. 8, 1089--1099, doi: 10.1016/S0362-546X(00)00159-0.
3. P. d'Avenia, L. Pisani, Nonlinear Klein-Gordon equations coupled with Born-Infeld type equations, Electron. J. Differential Equations 2002, No. 26, 13 pp. (electronic), article.
4. P. d'Avenia, Non-radially symmetric solutions of nonlinear Schrödinger equation coupled with Maxwell equations, Adv. Nonlinear Stud. 2 (2002), no. 2, 177--192, doi: 10.1515/ans-2002-0205.
5. P. d'Avenia, D. Fortunato, L. Pisani, Topological solitary waves with arbitrary charge and the electromagnetic field, Differential Integral Equations 16 (2003), no. 5, 587--604.
6. F. Campobasso, P. d'Avenia, Osservazioni sugli stimatori di massima verosimiglianza di una distribuzione beta-binomiale, Annali del Dipartimento di Scienze Statistiche dell'Università degli Studi di Bari, Vol. IV, 2005, 217--229.
7. P. d'Avenia, L. Pisani, G. Siciliano, Dirichlet and Neumann problems for Klein-Gordon-Maxwell systems, Nonlinear Anal. 71 (2009), no. 12, e1985--e1995, doi: 10.1016/j.na.2009.02.111.
8. P. d'Avenia, L. Pisani, G. Siciliano, Klein-Gordon-Maxwell systems in a bounded domain, Discrete Contin. Dyn. Syst. 26 (2010), no. 1, 135--149, doi: 10.3934/dcds.2010.26.135.
9. A. Azzollini, P. d'Avenia, A. Pomponio, On the Schrödinger-Maxwell equations under the effect of a general nonlinear term, Ann. Inst. H. Poincaré Anal. Non Linéaire 27 (2010), no. 2, 779--791, doi: 10.1016/j.anihpc.2009.11.012.
10. P. d'Avenia, A. Pomponio, G. Vaira, Infinitely many positive solutions for a Schrödinger-Poisson system, Appl. Math. Lett. 24 (2011), no. 5, 661--664, doi: 10.1016/j.aml.2010.12.002.
11. A. Azzollini, P. d'Avenia, A. Pomponio, Multiple critical points for a class of nonlinear functionals, Ann. Mat. Pura Appl. (4) 190 (2011), no. 3, 507--523, doi: 10.1007/s10231-010-0160-3.
12. P. d'Avenia, A. Pomponio, G. Vaira, Infinitely many positive solutions for a Schrödinger-Poisson system, Nonlinear Anal. 74 (2011), no. 16, 5705--5721, doi: 10.1016/j.na.2011.05.057.
13. A. Azzollini, P. d'Avenia, On a system involving a critically growing nonlinearity, J. Math. Anal. Appl. 387 (2012), no. 1, 433--438, doi: 10.1016/j.jmaa.2011.09.012.
14. P. d'Avenia, A. Pomponio, D. Ruiz, Semiclassical states for the nonlinear Schrödinger equation on saddle points of the potential via variational methods, J. Funct. Anal. 262 (2012), no. 10, 4600--4633, doi: 10.1016/j.jfa.2012.03.009.
    Corrigendum, J. Funct. Anal. 284 (2023), 109833, 10.1016/j.jfa.2022.109833.
15. A. Azzollini, P. d'Avenia, V. Luisi, Generalized Schrödinger-Poisson type systems, Commun. Pure Appl. Anal. 12 (2013), no. 2, 867--879, doi: 10.3934/cpaa.2013.12.867.
16. A. Azzollini, P. d'Avenia, A. Pomponio, Quasilinear elliptic equations in \(\mathbb{R}^N\) via variational methods and Orlicz-Sobolev embeddings, Calc. Var. Partial Differential Equations 49 (2014), no. 1-2, 197--213, doi: 10.1007/s00526-012-0578-0.
17. P. d'Avenia, M. Squassina, Soliton dynamics for the Schrödinger-Newton system, Math. Models Methods Appl. Sci. 24 (2014), no. 3, 553--572, doi: 10.1142/S0218202513500590.
18. P. d'Avenia, E. Montefusco, M. Squassina, On the logarithmic Schrödinger equation, Commun. Contemp. Math. 16 (2014), no. 02, 1350032, 15pp, doi: 10.1142/S0219199713500326.
19. C. Bonanno, P. d'Avenia, M. Ghimenti, M. Squassina, Soliton dynamics for the generalized Choquard equation, J. Math. Anal. Appl. 417 (2014), 180--199, doi: 10.1016/j.jmaa.2014.02.063.
20. P. d'Avenia, L. Pisani, G. Siciliano, Nonautonomous Klein-Gordon-Maxwell systems in a bounded domain, Adv. Nonlinear Anal. 3 (S1) (2014), s37--s45, doi: 10.1515/anona-2014-0009.
21. P. d'Avenia, J. Mederski, Positive ground states for a system of Schrödinger equations with critically growing nonlinearities, Calc. Var. Partial Differential Equations 53 (2015), no. 3-4, 879--900, doi: 10.1007/s00526-014-0770-5.
22. P. d'Avenia, G. Siciliano, M. Squassina, On fractional Choquard equations, Math. Models Methods Appl. Sci. 25 (2015), 1447--1476, doi: 10.1142/S0218202515500384.
23. P. L. Cunha, P. d'Avenia, A. Pomponio, G. Siciliano, A multiplicity result for Chern-Simons-Schrödinger equation with a general nonlinearity, NoDEA Nonlinear Differential Equations Appl. 22 (2015), 1831--1850, doi: 10.1007/s00030-015-0346-x.
24. P. d'Avenia, G. Siciliano, M. Squassina, Existence results for a doubly nonlocal equation, São Paulo J. Math. Sci. 9 (2015), no. 2 , 311--324, doi: 10.1007/s40863-015-0023-3.
25. P. d'Avenia, M. Squassina, M. Zenari, Fractional logarithmic Schrödinger equations, Math. Methods Appl. Sci. 38 (2015), no. 18, 5207--5216, doi: 10.1002/mma.3449.
26. D. Bonheure, P. d'Avenia, A. Pomponio, On the electrostatic Born-Infeld equation with extended charges, Comm. Math. Phys. 346 (2016), no. 3, 877--906, doi: 10.1007/s00220-016-2586-y.
27. P. d'Avenia, Around BIons, Lect. Notes Semin. Interdiscip. Mat. Potenza 13 (2016), 19--33.
28. A. Azzollini, P. d'Avenia, G. Vaira, Generalized Schrödinger-Newton system in dimension \(N\ge 3\): critical case, J. Math. Anal. Appl. 449 (2017), no. 1, 531--552, doi: 10.1016/j.jmaa.2016.12.008.
29. P. d'Avenia, J. Mederski, A. Pomponio, Vortex ground states for Klein-Gordon-Maxwell-Proca type systems, J. Math. Phys. 58, 041503 (2017), 19 pp, doi: 10.1063/1.4982038.
30. P. d'Avenia, M. Squassina, Ground states for fractional magnetic operators, ESAIM Control Optim. Calc. Var. 24 (2018), no.1, 1--24, doi: 10.1051/cocv/2016071.
31. V. Ambrosio, P. d'Avenia, Nonlinear fractional magnetic Schrödinger equation: existence and multiplicity, J. Differential Equations 264 (2018), 3336--3368, doi: 10.1016/j.jde.2017.11.021.
32. P. d'Avenia, G. Siciliano, Nonlinear Schrödinger equation in the Bopp-Podolsky electrodynamics: solutions in the electrostatic case, J. Differential Equations 267 (2019), 1025--1065, doi: 10.1016/j.jde.2019.02.001.
33. P. d'Avenia, A. Pomponio, T. Watanabe, Standing waves of modified Schrödinger equations coupled with the Chern-Simons gauge theory, Proc. Roy. Soc. Edinburgh Sect. A 150 (2020), 1915-1936, doi: 10.1017/prm.2019.9.
34. P. d'Avenia, A. Pomponio, Standing waves for a Schrödinger-Chern-Simons-Higgs system, J. Differential Equations 268 (2020), 2151--2162, doi: 10.1016/j.jde.2019.09.017.
35. P. d'Avenia, A. Pomponio, Oscillating solutions for nonlinear equations involving the Pucci's extremal operators, Nonlinear Anal. Real World Appl. 55 (2020), 103118, doi: 10.1016/j.nonrwa.2020.103118.
36. D. Bonheure, P. d'Avenia, A. Pomponio, W. Reichel, Equilibrium measures and equilibrium potentials in the Born-Infeld model, J. Math. Pures Appl. 139 (2020), 35--62, doi: 10.1016/j.matpur.2020.05.001.
37. P. d'Avenia, J. Mederski, A. Pomponio, Nonlinear scalar field equation with competing nonlocal terms, Nonlinearity 34 (2021), 5687--5707, 10.1088/1361-6544/ac0d47.
38. P. d'Avenia, C. Ji, Multiplicity and concentration results for a magnetic Schrödinger equation with exponential critical growth in \(\mathbb{R}^{2}\), Int. Math. Res. Not. IMRN 2022 (2022), 862--897, doi: 10.1093/imrn/rnaa074.
39. P. d'Avenia, L.A. Maia, G. Siciliano, Hartree-Fock type systems: existence of ground states and asymptotic behavior, J. Differential Equations 335 (2022), 580--614, doi: 10.1016/j.jde.2022.07.012.
40. P. d'Avenia, M.G. Ghimenti, Multiple solutions and profile description for a nonlinear Schrödinger-Bopp-Podolsky-Proca system on a manifold, Calc. Var. Partial Differential Equations 61 (2022), 223, doi: 10.1007/s00526-022-02341-1, SharedIt link.
41. P. d'Avenia, A. Pomponio, J. Schino, Radial and non-radial multiple solutions to a general mixed dispersion NLS equation, Nonlinearity 36 (2023), 1743--1775, doi: 10.1088/1361-6544/acb62d.
42. P. d'Avenia, C. Ji, Semiclassical states for a magnetic nonlinear Schrödinger equation with exponential critical growth in \(\mathbb{R}^{2}\), to appear on Journal d'Analyse Mathématique, doi: 10.1007/s11854-023-0312-1, SharedIt link, arXiv: 2106.05962.
43. R. Bartolo, P. d'Avenia, G. Molica Bisci, Asymptotically linear magnetic fractional problems, Appl. Math. Lett. 151 (2024), 109001, doi: 10.1016/j.aml.2024.109001, Share link.

Preprints

1. P. d'Avenia, J. Mederski, Between Maxwell and Born-Infeld: the presence of the magnetic field, arXiv: 2403.08924.
2. A. Azzollini, P. d'Avenia, A. Pomponio, Schrödinger equation in dimension two with competing logarithmic self-interaction, arXiv: 2404.03452.

Proceedings

1. P. d'Avenia, L. Pisani, Infinitely many solitary waves in three space dimensions, in: J. Kuben and Jaromír Vosmanský (eds.): Equadiff 10, Czechoslovak International Conference on Differential Equations and Their Applications, Prague, August 27-31, 2001, [Part 2] Papers, Masaryk University, Brno, 2002, ISBN: 80-210-2809-2, CD-ROM, pp. 119--127, article.