Begout, PascalDíaz Díaz, Jesús Ildefonso2023-06-192023-06-1920151578-730310.1007/s13398-014-0165-7https://hdl.handle.net/20.500.14352/33890We prove some existence (and sometimes also uniqueness) of weak solutions to some stationary equations associated to the complex Schrödinger operator under the presence of a singular nonlinear term. Among other new facts, with respect some previous results in the literature for such type of nonlinear potential terms, we include the case in which the spatial domain is possibly unbounded (something which is connected with some previous localization results by the authors),the presence of possible non-local terms at the equation, the case of boundary conditions different to the Dirichlet ones and, finally, the proof of the existence of solutions when the right-hand side term of the equation is beyond the usual L2-space.engjournal articlehttp://link.springer.com/article/10.1007%2Fs13398-014-0165-7#page-1http://springer.com/open access517.9Nonlinear Schrödinger equationDifferent boundary conditionsUnbounded domainsNon local termData in weighted spacesExistenceUniquenessSmoothnessEcuaciones diferenciales1202.07 Ecuaciones en Diferencias