On the existence of nontrivial solutions for quasilinear Schrödinger systems
Abstract In this paper, by using a change of variable and the mountain-pass theorem, we show that the following quasilinear Schrödinger systems { − △ u + V 1 ( x ) u + κ 2 [ △ | u | 2 ] u = λ f ( x , u , v ) , x ∈ R N , − △ v + V 2 ( x ) v + κ 2 [ △ | v | 2 ] v = λ h ( x , u , v ) , x ∈ R N $$ \text...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-06-01
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| Series: | Boundary Value Problems |
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| Online Access: | https://doi.org/10.1186/s13661-022-01623-z |