L. Tentarelli:
NLS ground states on metric graphs with localized nonlinearities
J. Math. Anal. Appl. Vol. 433, N. 1, p. 291-304, 2016
E. Serra, L. Tentarelli:
Bound states of the NLS equation on metric graphs with localized nonlinearities
J. Differential Equations Vol. 260, N. 7, p. 5627-5644, 2016
E. Serra, L. Tentarelli:
On the lack of bound states for certain NLS equations on metric graphs
Nonlinear Anal. Vol. 145, p. 68-82, 2016
L. Tentarelli:
On the extensions of the De Giorgi approach to nonlinear hyperbolic equations
Rend. Semin. Mat. Univ. Politec. Torino Vol. 74, N. 3-4, p. 151-160, 2016
R. Carlone, A. Fiorenza, L. Tentarelli:
The action of Volterra integral operators with highly singular kernels on Hölder continuous, Lebesgue and Sobolev functions
J. Funct. Anal. Vol. 273, N. 3, p. 1258-1294, 2017
L. Tentarelli, P. Tilli:
De Giorgi's approach to hyperbolic Cauchy problems: the case of nonhomogeneous equations
Comm. Partial Differential Equations Vol. 43, N. 4, p. 677-698, 2018
R. Carlone, R. Figari, C. Negulescu, L. Tentarelli:
Solvable models of quantum beating
Nanosystems: Phys. Chem. Math. Vol. 9, N. 2, p. 162-170, 2018
R. Carlone, M. Correggi, L. Tentarelli:
An introduction to the two-dimensional Schrödinger equation with nonlinear point interactions
Nanosystems: Phys. Chem. Math. Vol. 9, N. 2, p. 187-195, 2018
W. Borrelli, R. Carlone, L. Tentarelli:
Nonlinear Dirac Equation On Graphs With Localized Nonlinearities: Bound States And Nonrelativistic Limit
SIAM J. Math. Anal. Vol. 51, N. 2, p. 1046-1081, 2019
R. Carlone, M. Correggi, L. Tentarelli:
Well-posedness of the Two-dimensional Nonlinear Schrödinger Equation with Concentrated Nonlinearity
Ann. Inst. H. Poincaré Anal. Non Linéaire Vol. 36, N. 1, p. 257-294, 2019
L. Tentarelli, P. Tilli:
An existence result for dissipative nonhomogeneous hyperbolic equations via a minimization approach
J. Differential Equations Vol. 266, N. 8, p. 5185-5208, 2019
R. Carlone, D. Finco, L. Tentarelli:
Nonlinear singular perturbations of the fractional Schrödinger equation in dimension one
Nonlinearity Vol. 32, N. 8, p. 3112-3143, 2019
W. Borrelli, R. Carlone, L. Tentarelli:
An overview on the standing waves of nonlinear Schrödinger and Dirac equations on metric graphs with localized nonlinearity
Symmetry Vol. 11, N. 2, p. art. 169, 22pp, 2019
S. Dovetta, L. Tentarelli:
$L^2$-critical NLS on noncompact metric graphs with localized nonlinearity: topological and metric features
Calc. Var. Partial Differential Equations Vol. 58, N. 3, p. art. 108, 26pp, 2019
S. Dovetta, L. Tentarelli:
Ground states of the $L^2$-critical NLS equation with localized nonlinearity on a tadpole graph
Oper. Theory Adv. Appl. Vol. 281, p. 113-125, 2020
R. Adami, R. Carlone, M. Correggi, L. Tentarelli:
Blow-up for the pointwise NLS in dimension two: absence of critical power
J. Differential Equations Vol. 269, N. 1, p. 1-37, 2020
W. Borrelli, R. Carlone, L. Tentarelli:
On the nonlinear Dirac equation on noncompact metric graphs
J. Differential Equations Vol. 278, p. 326-357, 2021
W. Borrelli, R. Carlone, L. Tentarelli:
A note on the Dirac operator with Kirchoff-type vertex conditions on noncompact metric graphs
Springer INdAM Series Vol. 42, p. 81-104, 2021
R. Adami, R. Carlone, M. Correggi, L. Tentarelli:
Stability of the standing waves of the concentrated NLSE in dimension two
Mathematics in Engineering Vol. 3, N. 2, p. 1-15, 2021
S. Dovetta, L. Tentarelli:
Symmetry breaking in two-dimensional square grids: persistence and failure of the dimensional crossover
J. Math. Pures Appl. Vol. 160, p. 99-157, 2022
R. Adami, F. Boni, R. Carlone, L. Tentarelli:
Existence, structure, and robustness of ground states of a NLSE in 3D with a point defect
J. Math. Phys. Vol. 63, N. 7, p. art. 071501, 16pp, 2022
R. Adami, F. Boni, R. Carlone, L. Tentarelli:
Ground states for the planar NLSE with a point defect as minimizers of the constrained energy
Calc. Var. Partial Differential Equations Vol. 61, N. 5, p. art. 195, 32 pp, 2022
W. Borrelli, R. Carlone, L. Tentarelli:
Complete ionization for a non-autonomous point interaction model in d=2
Comm. Math. Phys. Vol. 395, N. 2, p. 963-1005, 2022
L. Tentarelli:
A general review on the NLS equation with point-concentrated nonlinearity
Commun. Appl. Ind. Math. Vol. 14, N. 1, p. 62-84, 2023
D. Finco, L. Tentarelli, A. Teta:
Well-posedness of the three-dimensional NLS equation with sphere-concentrated nonlinearity
Nonlinearity Vol. 37, N. 1, p. art.015009, 48p, 2024
R. Adami, F. Boni, R. Carlone, L. Tentarelli:
NLS ground states on a hybrid plane
(preprint) 2024
R. Adami, F. Boni, R. Carlone, L. Tentarelli:
The search for NLS ground states on a hybrid domain: Motivations, methods, and results
(preprint) 2024