A new type of solutions for a nonlinear Schrödinger system with χ ( 2 ) $\chi ^{(2)}$ nonlinearities
Abstract We are concerned with the question of constructing a new type of solution to the problem with χ ( 2 ) $\chi ^{(2)}$ nonlinearities 0.1 { − Δ u + P ( x ) u = α u v , in R N , − Δ v + Q ( x ) v = α 2 u 2 + β v 2 , in R N , where P ( x ) = P ( | x | ) $P(x)=P(|x|)$ and Q ( x ) = Q ( | x | ) $Q...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2022-08-01
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| Series: | Boundary Value Problems |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13661-022-01635-9 |