Standing waves for the pseudo-relativistic Hartree equation with Berestycki-Lions nonlinearity
The authors study a class of pseudo-relativistic Hartree equations with a Berestycki-Lions-type general hypotheses on the nonlinearity. The existence of a family of localized positive solutions is proved by penalization methods. Next the concentrate of the solutions at the local minimum points of the indefinite potential appearing in the equation is shown.
scientific article; zbMATH DE number 7379528
scientific article