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Zhang et al., 2017 - Google Patents

Multiple solutions for Schrödinger–Poisson systems with indefinite potential and combined nonlinearity

Zhang et al., 2017

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Document ID
16185848187060075658
Author
Zhang Q
Xu B
Publication year
Publication venue
Journal of Mathematical Analysis and Applications

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In this paper, we study the existence of infinitely many solutions for the following nonlinear Schrödinger–Poisson system {−△ u+ V (x) u+ ϕ u= f (x, u)+ g (x, u), x∈ R 3,−△ ϕ= u 2, lim| x|→∞⁡ ϕ (x)= 0, where the potential V may be unbounded from below. Under some mild …
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