Existence of Nontrivial Solutions and High Energy Solutions for a Class of Quasilinear Schrödinger Equations via the Dual‐Perturbation Method

Yu Chen and Xian Wu

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: We study the quasilinear Schrödinger equation of the form −Δu + V(x)u − Δ(u2)u = h(x, u), x ∈ RN. Under appropriate assumptions on V(x) and h(x, u), existence results of nontrivial solutions and high energy solutions are obtained by the dual‐perturbation method.

Date: 2013
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https://doi.org/10.1155/2013/256324

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:256324

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