| Autor: |
Meng Li, Jinchun He, Haoyuan Xu, Meihua Yang |
| Jazyk: |
angličtina |
| Rok vydání: |
2020 |
| Předmět: |
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| Zdroj: |
Boundary Value Problems, Vol 2020, Iss 1, Pp 1-29 (2020) |
| Druh dokumentu: |
article |
| ISSN: |
1687-2770 |
| DOI: |
10.1186/s13661-020-01463-9 |
| Popis: |
Abstract We consider the following coupled fractional Schrödinger system: { ( − Δ ) s u + λ 1 u = μ 1 | u | 2 p − 2 u + β | v | p | u | p − 2 u , ( − Δ ) s v + λ 2 v = μ 2 | v | 2 p − 2 v + β | u | p | v | p − 2 v in R N , $$ \textstyle\begin{cases} (-\Delta )^{s}u+\lambda _{1}u=\mu _{1} \vert u \vert ^{2p-2}u+ \beta \vert v \vert ^{p} \vert u \vert ^{p-2}u, \\ (-\Delta )^{s}v+\lambda _{2}v=\mu _{2} \vert v \vert ^{2p-2}v+\beta \vert u \vert ^{p} \vert v \vert ^{p-2}v \end{cases}\displaystyle \quad \text{in } {\mathbb{R}^{N}}, $$ with 0 < s < 1 $0< s 0 $\beta >0$ . |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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