In this paper, we study the following Schrödinger-Born-Infeld system with a general nonlinearity{−Δu+u+ϕu=f(u)+μ|u|4uinR3,−div(∇ϕ1−|∇ϕ|2)=u2inR3,u(x)→0,ϕ(x)→0,asx→∞, where μ≥0 and f∈C(R,R) satisfies suitable assumptions. This arises from coupling of nonlinear Schrödinger equation Born-Infeld theory. We use new perturbation approach to prove existence multiplicity nontrivial solutions above in s...

We consider the Born-Infeld system in a bounded domain. In order to get nontrivial solution, we extend the original Born-Infeld system. For extended Born-Infeld system with convex lower order term, under the Dirichlet condition or the Neumann condition, Chen and Pan showed the existence of weak solution and its regularity, and then the author of this paper extended their results. For the concav...