vai alle Pubblicazioni
Publications prior to 2004
16. (with D. Gómez-Castro and J.L. Vázquez) Singular boundary behaviour and large solutions for fractional elliptic equations, submitted, preprint available at arXiv:1910.00366, 2019.
15. (with M. Cozzi) An elliptic boundary value problem with fractional nonlinearity, SIAM J. Math. Anal. 53(3), pp. 3577-3601, 2021.
14. (with S. Jarohs and A. Saldaña) Fractional Laplacians on ellipsoids, Math. in Engineering 3(5), pp. 1–34, 2021.
13. A remark on nonlocal Neumann conditions for the fractional Laplacian, Arch. Math. (Basel) 114(6), pp. 699–708, 2020.
12. (with X. Ros-Oton) Obstacle problems for integro-differential operators: Higher regularity of free boundaries, Adv. Math. 360, 106931, 61 pages, 2020.
11. (with E. Valdinoci) Getting acquainted with the fractional Laplacian, Contemporary Research in elliptic PDEs and Related Topics, Springer INdAM Ser. 33, Springer, Cham, pp. 1–105, 2019.
10. (with S. Dipierro, M.M. Fall, S. Jarohs, and A. Saldaña) Positive powers of the Laplacian in the half space under Dirichlet boundary conditions, Discr. Cont. Dyn. Syst. 39(3), pp. 1205–1235, 2019.
9. (with S. Jarohs and A. Saldaña) Integral representation of solutions to higher-order fractional Dirichlet problems on balls, Comm. Cont. Math. 20(8), 1850002, 36 pages, 2018.
8. (with S. Jarohs and A. Saldaña) On the loss of maximum principles for higher-order fractional Laplacians, Proc. Amer. Math. Soc. 146(11), pp. 4823–4835, 2018.
7. (with S. Jarohs and A. Saldaña) Green function and Martin kernel for higher-order fractional Laplacians in balls, Nonlinear Anal. 175, pp. 173–190, 2018.
6. (with S. Jarohs and A. Saldaña) Positive powers of the Laplacian: from hypersingular integrals to boundary value problems, Comm. Pure Appl. Anal. 17(3), pp. 899-922, 2018.
5. Very large solutions for the fractional Laplacian: Towards a fractional Keller-Osserman condition, Adv. Nonlin. Anal. 6(4), pp. 383–405, 2017.
4. (with L. Dupaigne) Nonhomogeneous boundary conditions for the spectral fractional Laplacian, Ann. IHP Nonlin. Anal. 34(2), pp. 439–467, 2017.
3. On Dirichlet data for the spectral Laplacian, Rend. Sem. Mat. Univ. Politec. Torino 74(2), Bruxelles-Torino Talks in PDE’s - Turin, May 2-5, 2016, pp. 31–41, 2016.
2. Large s-harmonic functions and boundary blow-up solutions for the fractional Laplacian, Discr. Cont. Dyn. Syst. 35(12), pp. 5555–5607, 2015.
1. (with E. Valdinoci) A notion of nonlocal curvature, Numer. Funct. Anal. Optim. 35(7), pp. 793–815, 2014.
