caa a22 4500 606194088 CHVBK 20210128100912.0 cr unu---uuuuu 210128e20150801xx s 000 0 eng 10.1007/s00030-014-0300-3 doi (NATIONALLICENCE)springer-10.1007/s00030-014-0300-3 Uniqueness and non-degeneracy for a nuclear nonlinear Schrödinger equation [Elektronische Daten] [Mathieu Lewin, Simona Rota Nodari] We prove the uniqueness and non-degeneracy of positive solutions to a cubic nonlinear Schrödinger (NLS) type equation that describes nucleons. The main difficulty stems from the fact that the mass depends on the solution itself. As an application, we construct solutions to the $${\sigma}$$ σ - $${\omega}$$ ω model, which consists of one Dirac equation coupled to two Klein-Gordon equations (one focusing and one defocusing). Springer Basel, 2014 Lewin Mathieu CNRS and Laboratoire de Mathématiques (UMR 8088), Université de Cergy-Pontoise, 95000, Cergy-Pontoise, France aut Rota Nodari Simona Laboratoire Paul Painlevé (UMR 8524), Université Lille 1 Sciences et Technologies, 59655, Villeneuve d'Ascq, France aut Nonlinear Differential Equations and Applications NoDEA Springer Basel 22/4(2015-08-01), 673-698 1021-9722 22:4<673 2015 22 30 https://doi.org/10.1007/s00030-014-0300-3 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00030-014-0300-3 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Lewin Mathieu CNRS and Laboratoire de Mathématiques (UMR 8088), Université de Cergy-Pontoise, 95000, Cergy-Pontoise, France aut NATIONALLICENCE 700 1- Rota Nodari Simona Laboratoire Paul Painlevé (UMR 8524), Université Lille 1 Sciences et Technologies, 59655, Villeneuve d'Ascq, France aut NATIONALLICENCE 773 0- Nonlinear Differential Equations and Applications NoDEA Springer Basel 22/4(2015-08-01), 673-698 1021-9722 22:4<673 2015 22 30