Peer review journals

1. Concavity principles for nonautonomous elliptic equations and applications, with N. Almousa, R. Cornale, M. Squassina, Asymptotic Analysis 135 (2023), 509-524

2.  Quasilinear logarithmic Choquard equations with exponential growth in $\mathbb R^n$, with C. Cassani, C. Tarsi, Journal of Differential Equations 328 (2022), 261-294

3. (s,p)-approximation of functions of least W^{s,1}-seminorm, with S. Dipierro, L. Lombardini, J.M. Mazon, E. Valdinoci, International Mathematics Research Notices 2 (2023), 1173–1235

4. An asymptotic expansion for the fractional $p$-Laplacian and for gradient dependent nonlocal operators, with M.  Squassina,  Communications in Contemporary Mathematics 2 (2021), 2150021 (33 pp.)

5. Minimisers of a fractional seminorm and nonlocal minimal surfaces, with S. Dipierro, L. Lombardini and E. Valdinoci, Interfaces and Free Boundaries 22 (2020), 465-505

6. On the mean value property of fractional harmonic functions, with S. Dipierro and E. Valdinoci, Nonlinear Analysis 201 (2020), 112112 -- 25pp.

7. A symmetry result in $\mathbb{R}^2$ for global minimizers of a general type of nonlocal energy,  Calculus of Variations and PDE's 59 (2020)

8.  Approximate convexity principle and applications to PDEs in convex domains, with M.  Squassina, Nonlinear Analysis 192 (2020)

9. Complete stickiness of nonlocal minimal surfaces for small values of the fractional parameter, with  L. Lombardini and E. Valdinoci, Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 36 (2019), 655-703

10. Asymptotic mean value properties for fractional anisotropic operators, with M.  Squassina. Journal of Mathematical Analysis and Applications, 466 (2018), 107-12

11. Fractional elliptic problems in $\mathbb R^n$ with critical growth and convex nonlinearities, with M.  Medina, Manuscripta Mathematica, 158 (2018), 371-400

12. Potential theoretic approach to Schauder estimates for the Fractional Laplacian, with  A.  L. Karakhanyan, Proc. Amer. Math. Soc. 145 (2017), 637-651

13. An extension problem for the fractional derivative defined by Marchaud, with F.  Ferrari, Fractional Calculus and Applied Analysis 19 (2016), 867-887

14. Local density of Caputo-stationary functions in the space of smooth functions, ESAIM: Optimisation and Calculus of Variations (COCV) 23 (2017), 1361-1380

15. Some observations on the Green function for the ball in the fractional Laplace framework, Communications on Pure and Applied Analysis (CPAA) 15 (2016), 657-699

Manuscripts

16. Nonlocal diffusion and applications, with E. Valdinoci, Lecture Notes of the Unione Matematica Italiana} 20 (2016), Springer, Unione Matematica Italiana, Bologna, xii+155

Survey papers

17. The stickiness phenomena of nonlocal minimal surfaces: new results and a comparison with the classical case, Bruno Pini Mathematical Analysis Seminar 10 (2019), 42-82

18. Some notes on functions of least W s,1 -fractional seminorm, Bruno Pini Mathematical Analysis Seminar 14 (2023), 38-58

Chapters in manuscripts 

19. Essentials on nonlocal operators. Chapter in: Kuusi, T., Palatucci, G. (eds.)  Recent Developments in the Nonlocal Theory. De Gruyter Open (2017). 5–23

Preprints

20. Solutions of the fractional 1-Laplacian: existence, asymptotics and flatness results 

PhD Thesis

Some nonlocal operators and effects due to nonlocality