Abstract
We study the following nonlinear Schrödinger–Bopp–Podolsky system{−Δu+ωu+q2ϕu=|u|p−2u−Δϕ+a2Δ2ϕ=4πu2 inR3 with a,ω>0. We prove existence and nonexistence results depending on the parameters q,p. Moreover we also show that, in the radial case, the solutions we find tend to solutions of the classical Schrödinger–Poisson system as a→0.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have