Resumen de Multiple Solutions for Nonhomogeneous Schro¨ dinger Equations

Ruixi Lang, Tingting Zhang

• In this article, we study the following nonhomogeneous Schro¨ dinger equation −Δu+V(x)u−Δ(u2)u=f(x,u)+k(x),x∈RN, where V(x) is a given positive potential. Under some suitable assumptions on V, f and k, the existence of multiple solutions is proved using the Ekeland’s variational principle and the Mountain Pass Theorem in critical point theory.