Zobrazeno 1 - 10
of 52
pro vyhledávání: '"Riccardo Adami"'
Publikováno v:
Mathematics in Engineering, Vol 3, Iss 2, Pp 1-15 (2021)
In this paper we will continue the analysis of two dimensional Schr?dinger equation with a fixed, pointwise, nonlinearity started in [2, 13]. In this model, the occurrence of a blow-up phenomenon has two peculiar features: the energy threshold under
Externí odkaz:
https://doaj.org/article/94acd6545f2245ee91ada8a9130cc456
One-dimensional versions of three-dimensional system: Ground states for the NLS on the spatial grid.
Autor:
Riccardo Adami, Simone Dovetta
Publikováno v:
Rendiconti di Matematica e delle Sue Applicazioni, Vol 39, Pp 181-194 (2018)
We investigate the existence of ground states for the focusing Nonlinear Schrödinger Equation on the infinite three-dimensional cubic grid. We extend the result found for the analogous two-dimensional grid by proving an appropriate Sobolev inequalit
Externí odkaz:
https://doaj.org/article/36c394ba724b4027876d850a1bca1f9f
Publikováno v:
Mathematics, Vol 8, Iss 4, p 617 (2020)
We review some recent results and announce some new ones on the problem of the existence of ground states for the Nonlinear Schrödinger Equation on graphs endowed with vertices where the matching condition, instead of being free (or Kirchhoff’s),
Externí odkaz:
https://doaj.org/article/c1fd96800e5a4f9d896342fb13dddada
Publikováno v:
Annales de l'Institut Henri Poincaré (C) Non Linear Analysis
Annales de l'Institut Henri Poincaré (C) Non Linear Analysis, Elsevier, 2020, ⟨10.1016/j.anihpc.2020.10.007⟩
Annales de l'Institut Henri Poincaré C, Analyse non linéaire
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2020, ⟨10.1016/j.anihpc.2020.10.007⟩
Annales de l'Institut Henri Poincaré (C) Non Linear Analysis, Elsevier, 2020, ⟨10.1016/j.anihpc.2020.10.007⟩
Annales de l'Institut Henri Poincaré C, Analyse non linéaire
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2020, ⟨10.1016/j.anihpc.2020.10.007⟩
In this paper we show that, for a sub-Laplacian Δ on a 3-dimensional manifold M, no point interaction centered at a point q 0 ∈ M exists. When M is complete w.r.t. the associated sub-Riemannian structure, this means that Δ acting on C 0 ∞ ( M
Publikováno v:
Transactions of the American Mathematical Society. 374:35-60
We consider the 1D nonlinear Schrödinger equation with focusing point nonlinearity. “Point” means that the pure-power nonlinearity has an inhomogeneous potential and the potential is the delta function supported at the origin. This equation is u
We investigate the existence of ground states for the nonlinear Schr\"odinger Equation on star graphs with two subcritical focusing nonlinear terms: a standard power nonlinearity, and a delta-type nonlinearity located at the vertex. We find that if t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9333e964c563e9c4bfb0cdf89e070e13
http://hdl.handle.net/11583/2959508
http://hdl.handle.net/11583/2959508
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e57503b9290a84811d1fae67e8c66df0
http://hdl.handle.net/11583/2970828
http://hdl.handle.net/11583/2970828
Autor:
Marcello Rattazzi, Marta Tiepolo, Marina Saetta, Simonetta Baraldo, Matteo Bonato, Giuseppe Zanardi, Mario Peta, Francesca Savoia, Emanuela Rossi, Alessia Pauletti, Riccardo Adami, Fabiola Zeraj, Silvia Galvan, Giovanni Morana, Vito Catalanotti, Elisabetta Marcon, Francesca Zampieri, Nicola Malacchini, Nicholas Landini, Piera Peditto, Mauro Salasnich, Maria Cuzzola, Alessia Fraccaro, Micaela Romagnoli, Cosimo Catino
Publikováno v:
Journal of Clinical Medicine
Volume 10
Issue 21
Journal of Clinical Medicine, Vol 10, Iss 4835, p 4835 (2021)
Volume 10
Issue 21
Journal of Clinical Medicine, Vol 10, Iss 4835, p 4835 (2021)
Pneumothorax (PNX) and pneumomediastinum (PNM) are potential complications of COVID-19, but their influence on patients’ outcomes remains unclear. The aim of the study was to assess incidence, risk factors, and outcomes of severe COVID-19 complicat
We investigate the ground states for the focusing, subcritical nonlinear Schr\"odinger equation with a point defect in dimension two, defined as the minimizers of the energy functional at fixed mass. We prove that ground states exist for every positi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a87d02d64e6da17d739cea9e6e62711b
Publikováno v:
Mathematics in Engineering, Vol 3, Iss 2, Pp 1-15 (2021)
In this paper we will continue the analysis of two dimensional Schr\"odinger equation with a fixed, pointwise, nonlinearity started in [2, 13]. In this model, the occurrence of a blow-up phenomenon has two peculiar features: the energy threshold unde
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3d552963ea3a9beb3c87eb0cd4f6f680