Existence and concentration of positive solutions for a system of coupled saturable Schrödinger equations
Raquel Lehrer, Sérgio H. Monari Soares · Nonlinear Analysis · 2020
It is considered a saturable system of coupled Schrödinger equations with asymptotically linear nonlinearities. The bound states (solutions with finite energy) are proved to exist and have a concentration behavior under hypotheses involving the coupling and saturation parameters. The proof is based on variational methods.