Ground state solutions for Hamiltonian elliptic systems with super or asymptotically quadratic nonlinearity
Abstract This article concerns the Hamiltonian elliptic system: {−Δφ+V(x)φ=Gψ(x,φ,ψ)in RN,−Δψ+V(x)ψ=Gφ(x,φ,ψ)in RN,φ,ψ∈H1(RN). $$ \textstyle\begin{cases} -\Delta \varphi +V(x)\varphi =G_{\psi }(x,\varphi ,\psi ) & \mbox{in } \mathbb {R}^{N}, \\ -\Delta \psi +V(x)\psi =G_{\varphi }(x,\varphi ,\ps...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2019-10-01
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| Series: | Boundary Value Problems |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13661-019-1270-5 |