Multiple solutions for a class of quasilinear Schrödinger equations

Quanqing Li, Wenbo Wang, Kaimin Teng and Xian Wu

Mathematische Nachrichten, 2019, vol. 292, issue 7, 1530-1550

Abstract: In this paper, we study the following quasilinear Schrödinger equations of the form −Δu+V(x)u−Δ(|u|2α)|u|2α−2u=g(x,u),x∈RN,where α>34, V∈C(RN,R), g∈C(RN×R,R). Some existence results for positive solutions, negative solutions and sequence of high energy solutions are obtained via a perturbation method.

Date: 2019
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https://doi.org/10.1002/mana.201700160

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Persistent link: https://EconPapers.repec.org/RePEc:bla:mathna:v:292:y:2019:i:7:p:1530-1550

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