Quasilinear asymptotically periodic Schrödinger–Poisson system with subcritical growth
Abstract The aim of this paper is establishing the existence of a nontrivial solution for the following quasilinear Schrödinger–Poisson system: { − Δ u + V ( x ) u − u Δ ( u 2 ) + K ( x ) ϕ ( x ) u = g ( x , u ) , x ∈ R 3 , − Δ ϕ = K ( x ) u 2 , x ∈ R 3 , u ∈ H 1 ( R 3 ) , u > 0 , $$ \left \{ \te...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2020-06-01
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| Series: | Boundary Value Problems |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13661-020-01404-6 |