RT Journal Article
T1 Existence of weak solutions to some stationary Schrödinger equations with singular nonlinearity
A1 Begout, Pascal
A1 Díaz Díaz, Jesús Ildefonso
AB We 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.
PB Springer
SN 1578-7303
YR 2015
FD 2015
LK https://hdl.handle.net/20.500.14352/33890
UL https://hdl.handle.net/20.500.14352/33890
LA eng
NO Unión Europea. FP7
NO DGISPI, Spain
NO UCM
DS Docta Complutense
RD 10 abr 2025