Abstract
In this paper we study the following nonhomogeneous Kirchhoff equation −(a+b∫RN|∇u|2dx)Δu+V(x)u=f(x,u)+h(x),inRN, where f satisfies the Ambrosetti–Rabinowitz type condition. Under appropriate assumptions on V, f and h, the existence of multiple solutions is proved by using the Ekeland’s variational principle and the Mountain Pass Theorem in critical point theory.
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