Article ID Journal Published Year Pages File Type
5471680 Applied Mathematics Letters 2017 9 Pages PDF
Abstract
We study the nonlinear fractional Schrödinger-Poissonequation (−Δ)su+u+ϕu=f(x,u),inR3,(−Δ)tϕ=u2,inR3,where s,t∈(0,1], 2t+4s>3. Under some assumptions on f, we obtain the existence of non-trivial solutions. The proof is based on the perturbation method and the mountain pass theorem.
Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
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