Positive bound state solutions for the nonlinear Schrödinger–Poisson systems with potentials
Abstract In this paper, we study the following Schrödinger–Poisson system in R 3 $\mathbb{R} ^{3}$ { ( − Δ ) σ u + A ( y ) u + B ( y ) ϕ ( y ) u = b ( y ) | u | p − 1 u , y ∈ R 3 , ( − Δ ) σ ϕ = B ( y ) u 2 , y ∈ R 3 , $$ \textstyle\begin{cases} (-\Delta )^{\sigma }u+A(y)u+B(y)\phi (y)u=b(y) \vert u...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-12-01
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| Series: | Boundary Value Problems |
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| Online Access: | https://doi.org/10.1186/s13661-019-01303-5 |