Zobrazeno 1 - 10
of 88
pro vyhledávání: '"BONI, FILIPPO"'
We investigate the existence and the properties of normalized ground states of a nonlinear Schr\"odinger equation on a quantum hybrid formed by two planes connected at a point. The nonlinearities are of power type and $L^2$-subcritical, while the mat
Externí odkaz:
http://arxiv.org/abs/2407.19810
We discuss the problem of establishing the existence of the Ground States for the subcritical focusing Nonlinear Schr\"odinger energy on a domain made of a line and a plane intersecting at a point. The problem is physically motivated by the experimen
Externí odkaz:
http://arxiv.org/abs/2404.07843
We investigate the existence of normalized ground states for Schr\"odinger equations on noncompact metric graphs in presence of nonlinear point defects, described by nonlinear $\delta$-interactions at some of the vertices of the graph. For graphs wit
Externí odkaz:
http://arxiv.org/abs/2312.07092
Autor:
Boni, Filippo, Gallone, Matteo
We study the existence and the properties of ground states at fixed mass for a focusing nonlinear Schr\"odinger equation in dimension two with a point interaction, an attractive Coulomb potential and a nonlinearity of power type. We prove that for an
Externí odkaz:
http://arxiv.org/abs/2304.13629
Autor:
Boni, Filippo, Carlone, Raffaele
Publikováno v:
Nonlinear Differ. Equ. Appl. (2023) 30:51
We investigate the existence and the uniqueness of NLS ground states of fixed mass on the half-line in the presence of a point interaction at the origin. The nonlinearity is of power type, and the regime is either $L^2$-subcritical or $L^{2}$-critica
Externí odkaz:
http://arxiv.org/abs/2211.12062
Autor:
Boni, Filippo, Gallone, Matteo
Publikováno v:
In Journal of Differential Equations 5 January 2025 414:1-33
Publikováno v:
In Journal of Functional Analysis 15 February 2025 288(4)
Publikováno v:
J. Math. Phys. 63 (2022), no. 7, article number 071501, 16pp
We study the ground states for the Schr\"odinger equation with a focusing nonlinearity and a point interaction in dimension three. We establish that ground states exist for every value of the mass; moreover they are positive, radially symmetric, decr
Externí odkaz:
http://arxiv.org/abs/2203.06702
Autor:
Boni, Filippo, author
Publikováno v:
Rising Power, Limited Influence : The Politics of Chinese Investments in Europe and the Liberal International Order, 2024.
Externí odkaz:
https://doi.org/10.1093/oso/9780192887115.003.0005