Nonlinear Schr\"odinger equation on graphs: recent results and open problems D Noja Phil.Trans.Roy.Soc. A 372, 20130002., 2013 | 138 | 2013 |
Fast solitons on star graphs R Adami, C Cacciapuoti, D Finco, D Noja Reviews in Mathematical Physics 23 (04), 409-451, 2011 | 106 | 2011 |
Variational properties and orbital stability of standing waves for NLS equation on a star graph R Adami, C Cacciapuoti, D Finco, D Noja Journal of Differential Equations 257 (10), 3738–3777, 2014 | 101 | 2014 |
Bifurcations and stability of standing waves in the nonlinear Schrödinger equation on the tadpole graph D Noja, D Pelinovsky, G Shaikhova Nonlinearity 28 (7), 2343, 2015 | 78 | 2015 |
Constrained energy minimization and orbital stability for the NLS equation on a star graph R Adami, C Cacciapuoti, D Finco, D Noja Ann. I. H. Poincaré – AN, 2013 | 77 | 2013 |
Stable standing waves for a NLS on star graphs as local minimizers of the constrained energy R Adami, C Cacciapuoti, D Finco, D Noja Journal of Differential Equations 260 (10), 7397-7415, 2016 | 68 | 2016 |
Stationary states of NLS on star graphs R Adami, C Cacciapuoti, D Finco, D Noja Europhysics Letters 100 (1), 10003, 2012 | 62 | 2012 |
On the structure of critical energy levels for the cubic focusing NLS on star graphs R Adami, C Cacciapuoti, D Finco, D Noja Journal of Physics A: Mathematical and Theoretical 45 (19), 192001, 2012 | 62 | 2012 |
Stability and symmetry-breaking bifurcation for the ground states of a NLS with a δ′ interaction R Adami, D Noja Communications in Mathematical Physics 318 (1), 247-289, 2013 | 59 | 2013 |
Ground state and orbital stability for the NLS equation on a general starlike graph with potentials C Cacciapuoti, D Finco, D Noja Nonlinearity 30 (8), 3271, 2017 | 55 | 2017 |
Existence of dynamics for a 1D NLS equation perturbed with a generalized point defect R Adami, D Noja Journal of Physics A: Mathematical and Theoretical 42 (49), 495302, 2009 | 48 | 2009 |
Airy-type evolution equations on star graphs D Mugnolo, D Noja, C Seifert Analysis & Pde 11 (7), 1625-1652, 2018 | 47 | 2018 |
Topology-induced bifurcations for the nonlinear Schrödinger equation on the tadpole graph C Cacciapuoti, D Finco, D Noja Physical Review E 91 (1), 013206, 2015 | 46 | 2015 |
Constrained energy minimization and ground states for NLS with point defects R Adami, D Noja, N Visciglia Discrete and Continuous Dynamical Systems B 18 (5), 1155-1188, 2013 | 45 | 2013 |
Orbital and asymptotic stability for standing waves of a nonlinear Schrödinger equation with concentrated nonlinearity in dimension three R Adami, D Noja, C Ortoleva Journal of Mathematical Physics 54 (1), 2013 | 40 | 2013 |
Standing waves of the quintic NLS equation on the tadpole graph D Noja, DE Pelinovsky Calculus of Variations and Partial Differential Equations 59 (5), 173, 2020 | 32 | 2020 |
The wave equation with one point interaction and the (linearized) classical electrodynamics of a point particle D Noja, A Posilicano Annales de l'IHP Physique théorique 68 (3), 351-377, 1998 | 28 | 1998 |
The NLS equation in dimension one with spatially concentrated nonlinearities: the pointlike limit C Cacciapuoti, D Finco, D Noja, A Teta Letters in Mathematical Physics 104 (12), 1557-1570, 2014 | 27 | 2014 |
Wave equations with concentrated nonlinearities D Noja, A Posilicano Journal of Physics A: Mathematical and General 38 (22), 5011, 2005 | 21 | 2005 |
ON THE POINT LIMIT OF THE PAULI FIERZ MODEL D Noja, A Posilicano Ann. Inst. Henri Poincaré A 71 (4), 425-457, 1999 | 21 | 1999 |