Positive solutions for coupled Schrödinger system with critical exponent in R N $\mathbb{R}^{N}$ ( N ≥ 5 $N\geq5$ )
Abstract In this paper, we study the following coupled Schrödinger system: { − Δ u + u = u 2 ∗ − 1 + β u 2 ∗ 2 − 1 v 2 ∗ 2 + f ( u ) , x ∈ R N , − Δ v + v = v 2 ∗ − 1 + β u 2 ∗ 2 v 2 ∗ 2 − 1 + g ( v ) , x ∈ R N , u , v > 0 , x ∈ R N , $$ \textstyle\begin{cases} -\Delta u+u=u^{2^{*}-1}+\beta u^{\f...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2017-07-01
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| Series: | Boundary Value Problems |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13661-017-0834-5 |