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math.AP2013
Existence of weak solutions to some stationary Schr{ö}dinger equations with singular nonlinearity
Pascal Bégout, Jesús Ildefonso Díaz
We prove some existence (and sometimes also uniqueness) of weak solutions to some stationary equations associated to the complex Schr\''{o}dinger operator under the presence of a s…
math.AP2013★ 18 cited
Self-similar solutions with compactly supported profile of some nonlinear Schr{ö}dinger equations
Pascal Bégout, Jesús Ildefonso Díaz
This paper deals with the study of "\textit{sharp localized}" solutions of a nonlinear type Schr{ö}dinger equation in the whole space with a zero order term, in mo…